The list contains books and research or review papers
published by the DI members since the foundation of the institute.
Other publications (contributions to conference proceedings, preprints,
etc.) can be found in our
annual reports. If the paper file is deposited at Austin or
Los Alamos, we include the
corresponding archive numbers.
[321] M. Znojil:
Coupled-channel version of PT-symmetric square well
J. Phys. A39 (2006), 441-455
[quant-ph/0511085]
[320] P. Exner:
Necklaces with interacting beads: isoperimetric problems
written for Proceedings of the UAB05 Conference on Differential Equations
and Mathematical Physics at Birmingham
[mp_arc 05-299;
math-ph/0508061]
[319] P. Exner, P. Hejcik, P. Seba:
Approximations by graphs and emergence of global structures
submitted
[quant-ph/0508226]
[318] P. Exner, R. Frank:
Absolute continuity of the spectrum for periodically modulated leaky wires in R^3
submitted
[mp_arc 05-290;
math.SP/0508525]
[317] P. Exner, O. Turek:
Approximations of permutation-symmetric vertex couplings in quantum graphs
written for Proceedings of the Conference"Quantum Graphs and Their Applications" at Snowbird
[mp_arc 05-284;
math-ph/0508046]
[316] P. Exner, T. Ichinose, S. Kondej:
On relations between stable and Zeno dynamics in a leaky graph decay model
written for Proceedings of the OTAMP 2004 Conference in Bedlewo
[quant-ph/0504060]
[315] P. Exner, T. Ichinose, H. Neidhardt, V. Zagrebnov:
New product formulae and quantum Zeno dynamics with generalized observables
submitted
[mp_arc 04-379;
math-ph/0411036]
[314] M. Znojil, V. Jakubsky:
Solvability and PT-symmetry in a double-well model with point
interactions
J. Phys. A38 (2005), 5041-5056
[quant-ph/0503235]
[313] M. Bila, M. Tater, M. Znojil:
Comment on `Comparison of quantal and classical behavior of PT-symmetric
systems at avoided crossings' [A. Nananyakkara, Phys. Lett. A 334 (2005) 144]
Phys. Let. A, to appear
[312] M. Znojil:
Multiparametric oscillator Hamiltonians with exact bound states in
infinite-dimensional space
Rendiconti dell Circ. Mat. Palermo, Serie II, Suppl. 75 (2005), 333-346
[quant-ph/0304170]
[311] M. Znojil:
Solvable relativistic quantum dots with vibrational spectra
Czech. J. Phys. 55 (2005), 1187-1192
[quant-ph/0506017]
[310] M. Znojil:
PT-symmetric quantum toboggans
Phys. Lett. A342 (2005), 36-47
[quant-ph/0502041]
[309] M. Znojil:
Perturbation method for non-square Hamiltonians and its application to
polynomial oscillators
Phys. Lett. A341 (2005), 67-80
[math-ph/0503011]
[308] M. Znojil:
Solvable PT-symmetric model with a tunable interspersion of non-merging levels
J. Math. Phys. 46 (2005), 062109
[quant-ph/0410196]
[307] M. Znojil:
An asymptotic intertwining of the undelayed and delayed Fibonacci numbers
Int. J. Pure Appl. Math. 19 (2005), 529-535
[math-ph/0403058]
[306] J. Tolar, J. Hajicek:
Can differently prepared mixed states be distinguished?
Phys. Lett. A, to appear
[quant-ph/0309158]
[305] C. Quesne, B. Bagchi, S. Mallik, H. Bila, V. Jakubsky,
M. Znojil:
PT-supersymmetric partner of a short-range square well
Czech. J. Phys. 55 (2005), 1161-1166
[quant-ph/0507246]
[304] V. Jakubsky, M. Znojil, E.A. Luis, F. Kleefeld:
Trigonometric identities, angular Schroedinger equations and a
new family of solvable models
Phys. Lett. A334 (2005), 154-159
[quant-ph/0410023]
[303] V. Jakubsky, M. Znojil:
An explicitly solvable model of the spontaneous PT-symmetry breaking
Czech. J. Phys. 55 (2005), 1113-1116
[quant-ph/0507132]
[302] L. Hlavaty:
Classical solution of a sigma model in curved background
Phys. Lett. B626 (2004), 285-290
[hep-th/0506188]
[301] U. Guenther, F. Stefani, M. Znojil:
MHD alpha^2-dynamo, Squire equation and PT-symmetric interpolation between
square well and harmonic oscillator
J. Math. Phys. 46 (2005), 0635054
[math-ph/0501069]
[300] P. Exner, H. Kovarik:
Spectrum of the Schroedinger operator in a perturbed periodically twisted tube
Lett. Math. Phys. 73 (2005), 183-192
[mp_arc 05-168;
math-ph/0505030]
[299] P. Exner, E.M. Harrell, M. Loss:
Inequalities for means of chords, with application to isoperimetric problems
Lett. Math. Phys., to appear
[mp_arc 05-300;
math-ph/0508060]
[298] P. Exner:
Sufficient conditions for the anti-Zeno effect
J. Phys. A38 (2005), L449-454
[mp_arc 05-180;
quant-ph/0502125]
[297] P. Exner:
An isoperimetric problem for leaky loops and related
mean-chord inequalities
J. Math. Phys. 46 (2005), 062105
[mp_arc 05-34;
math-ph/0501066]
[296] J. Dittrich, V.I. Inozemtsev:
Analytic proof of the
Sutherland conjecture
Yad. Fiz. 68 (2005), 1721-1723
[295] E. Caliceti, F. Canata, M. Znojil, A. Ventura:
Construction of PT-asymmetric non-Hermitian Hamiltonians with
CPT-symmetry
Phys. Lett. A335 (2005), 26-30
[math-ph/0406031]
[294] C. Burdik, O. Navratil, S. Posta:
On three-particle matrix Calogero model
Phys. Lett. A, to appear
[293] C. Burdik, O. Navratil:
The q-boson-fermion realizations of quantum superalgebra U_q(osp(2/1))
Yad. Fiz. 68 (2005), 1-3
[292] C. Burdik, O. Navratil:
Normal ordering for deformed Heisenberg algebra involving the
reflection operator
J. Phys. A38 (2005), 2305-2310
[291] C. Burdik, O. Navratil:
A method for construction of the matrix solvable models
J. Phys. A38 (2005), 1533-1542
[290] C. Burdik, S. Krivonos, A. Shcherbakov:
N=4 supersymmetric Eguchi-Hanson model in d=1
Czech. J. Phys. 55 (2005), No. 11
[hep-th/0508165]
[289] H. Bila, V. Jakubsky, M. Znojil:
Comment on `Solution of the Dirac equation for the Woods-Saxon potential
with spin and pseudospin symmetry' [J. Y. Guo and Z-Q. Sheng, Phys.
Lett. A 338 (2005) 90]
Phys. Lett. A, to appear
[math-ph/0510097]
[288] H. Bila, V. Jakubsky, M. Znojil, B. Bagchi, S. Mallik,
C. Quesne:
Weakly non-Hermitian square well
Czech. J. Phys. 55 (2005), 1075-1076
[287] B. Bagchi, A. Banerjee, E. Caliceti, F. Cannata,
H. B. Geyer, C. Quesne, M. Znojil:
CPT-conserving Hamiltonians and their nonlinear supersymmetrization using
differential charge-operators
Int. J. Mod. Phys. A, to appear
[hep-th/0412211]
[286] B. Bagchi, H. Bila, V. Jakubsky, S. Mallik, C. Quesne,
M. Znojil:
PT-symmetric supersymmetry in a solvable short-range model
Int. J. Mod. Phys. A, to appear
[quant-ph/0503035]
[285] J. Asch, I. Hradecky, P. Stovicek:
Propagators weakly associated to a family of Hamiltonians and the
adiabatic theorem for the Landau Hamiltonian with a time-dependent
Aharonov-Bohm flux
J. Math. Phys. 46 (2005), 053303
[mp_arc 05-58;
math-ph/0502030]
[284] C. Burdik, S. Posta, eds.:
Quantum Groups and Integrable Systems,
Proceedings of the 8th International Conference "Path
Intergrals. From Quantum Information to Cosmology"
(Prague, June 6-10, 2005),
JINR Publ., Dubna 2005
[283] C. Burdik, O. Navratil, S. Posta, eds.:
Integrable Systems and Quantum Symmetries,
Proceedings of the 14th International Colloquium
(Prague, June 16-18, 2005),
Czech. J. Phys. 55 (2005), No. 11
[282] M. Znojil, ed.:
Pseudo-Hermitian Hamiltonians in Quantum Physics,
Proceedings of the 3rd International Workshop
(Istanbul, June 20-22, 2005),
Czech. J. Phys. 55 (2005), No. 9
[281] P. Exner, S. Kondej:
Leaky quantum wire and dots: a resonance model
submitted
[mp_arc 03-329;
math-ph/0307030]
[280] P. Exner, T. Ichinose, H. Neidhardt, V. Zagrebnov:
New product formulae and quantum Zeno dynamics with generalized observables
submitted
[mp_arc 04-379;
math-ph/0411036]
[279] P. Exner, V.A. Zagrebnov:
Bose-Einstein condensation in geometrically deformed tubes
J. Phys. A38 (2005), L463-470
[cond-mat/0409612]
[278] P. Exner, S. Kondej:
Scattering by local deformations of a straight leaky wire
J. Phys. A38 (2005), 4865-4874
[mp_arc 04-317;
math-ph/0410007]
[277] P. Exner, O. Post:
Convergence of spectra of graph-like thin manifolds
J. Geom. Phys. 54 (2005), 77-115
[mp_arc 03-533;
math-ph/0312028]
[276] P. Exner:
An isoperimetric problem for point interactions
J. Phys. A38 (2005), 4795-4802
[mp_arc 04-184;
math-ph/0406017]
[275] P. Exner, T. Ichinose:
A product formula related to quantum Zeno dynamics
Ann. H. Poincare 6 (2005), 195-215
[mp_arc 04-331;
math-ph/0302060]
[274] J. Asch, R. Benguria, P. Stovicek:
Asymptotic properties of the differential equation h^3(h''+h')=1
Asympt. Anal. 41 (2005), 23-40
[mp_arc 01-369;
math-ph/0110029]
[273] M. Havlicek, J. Patera, E. Pelantova, J. Tolar:
On Pauli graded contractions of sl(3,C)
J. Nonlin. Math. Phys 11suppl (2004), 37-42
[272] M. Znojil, H. Bila, V. Jakubsky:
Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
Czech. J. Phys. 54 (2004), 1143-1148
[quant-ph/0408141]
[271] M. Znojil:
Fragile PT-symmetry in a solvable model
J. Math. Phys. 45 (2004), 4418-4430
[math-ph/0403033]
[270] M. Znojil:
Linear representation of energy-dependent
Hamiltonians
Phys. Lett. A326 (2004), 70-76
[quant-ph/0403223]
[269] M. Znojil:
Partial sums and optimal shifts in shifted large-l
perturbation expansions for quasi-exact potentials
Int. J. Pure Appl. Math. 12 (2004), 79-104
[physics/0404123]
[268] M. Znojil:
PT-symmetric regularizations in
supersymmetric quantum mechanics
J. Phys. A37 (2004), 10209-10222
[hep-th/0404145]
[267] M. Znojil:
Relativistic supersymmetric quantum mechanics
based on Klein-Gordon equation
J. Phys. A37 (2004), 9557-9571
[hep-th/0408232]
[266] M. Znojil:
Experiments in PT-symmetric quantum mechanics
Czech. J. Phys. 54 (2004), 151-156
[quant-ph/0309100]
[265] P. Streda, P. Seba:
Rashba spin-orbit coupling and
anti-symmetric spin filterings
Physica E22 (2004), 460-463
[264] V. Jakubsky, M. Znojil:
Periodic square-well potential
and spontaneous breakdown of PT-symmetry
Czech. J. Phys. 54 (2004), 1101-1106
[quant-ph/0408189]
[263] M. Horowski, G. Chadzitaskos, A. Odzijewicz,
A. Tereszkiewicz:
Systems with intensity-dependent conversion integrable by
finite orthogonal polynomials
J. Phys. A37 (2004), 6115-6128
[math-ph/0310058]
[262] L. Hlavaty, L. Snobl:
Poisson-Lie T-plurality of
three-dimensional conformally invariant sigma models
II: Nondiagonal metrics and dilaton puzzle
J. High Energy Phys. JHEP10 (2004), 045
[hep-th/0408126]
[261] L. Hlavaty, L. Snobl:
Poisson-Lie T-plurality of
three-dimensional conformally invariant sigma models
J. High Energy Phys. JHEP05 (2004), 010
[hep-th/0403164]
[260] D. Helbing, S. Lammer, T. Seidel, P. Seba, T. Platkowski:
Physics, stability, and dynamics of supply networks
Phys. Rev. E70 (2004), 066116
[cond-mat/0405230]
[259] V.A. Geyler, P. Stovicek:
Zero modes in a system of Aharonov-Bohm fluxes
Rev. Math.Phys. 16 (2004), 851-907
[math-ph/0310029]
[258] V.A. Geyler, P. Stovicek:
On the Pauli operator for the Aharonov-Bohm effect with two solenoids
J. Math.Phys. 45 (2004), 51-75
[math-ph/0310029]
[257] J. Dittrich, V.I. Inozemtsev:
On the ground state of ferromagnetic Hamiltonians
Czech. J. Phys. 54 (2004), 775-779
[256] C. Burdik, M. Haysak, M. Nagy:
The negative and
positive charged two-dimensional three-body systems in adiabatic
hyperspherical approach
Czech. J. Phys. 54 (2004), 1191-1198
[255] P. Exner:
Seize ans apres
An appendix to the 2nd printing
of the monograph Solvable Models in Quantum Mechanics by
S. Albeverio, G. Gesztesy, R. Hoegh-Krohn and H. Holden, AMS
Chelsea Series; Providence, R.I., 2004
[254] P. Exner, H. Linde, T. Weidl:
Lieb-Thirring inequalities for geometrically induced bound states
Lett. Math. Phys. 70 (2004), 83-95
[mp_arc 04-156;
math-ph/0405146]
[253] T. Cheon, P. Exner:
An approximation to delta' couplings on graphs
J. Phys. A37 (2004), L329-335
[mp_arc 04-127;
quant-ph/0404136]
[252] I. Catto, P. Exner, Ch. Hainzl:
Enhanced binding revisited for a spinless particle in
non-relativistic QED
J. Math. Phys. 45 (2004), 4174-4185
[mp_arc 04-73;
math-ph/0403012]
[251] P. Exner, S. Kondej:
Schroedinger operators with singular interactions:
a model of tunneling resonances
J. Phys. A37 (2004), 8255-8277
[mp_arc 03-548;
math-ph/0312055]
[250] D. Borisov, P. Exner:
Exponential splitting of bound states in
a waveguide with a pair of distant windows
J. Phys. A37 (2004), 3411-3428
[mp_arc 03-525;
math-ph/0312013]
[249] P. Exner, P. Freitas, D. Krejcirik:
A lower bound to the spectral threshold in curved tubes
Proc. Roy. Soc. A469 (2004), 3457-3467
[mp_arc 04-152;
math-ph/0405039]
[248] P. Exner, S. Kondej:
Strong-coupling asymptotic expansion for Schroedinger operators with
a singular interaction supported by a curve in R^3
Rev. Math. Phys. 16 (2004), 559-582
[mp_arc 03-110;
math-ph/0303033]
[247] P. Exner, M. Tater:
Spectra of soft ring graphs
Waves in Random Media, 14 (2004), S47-60
[mp_arc 03-88;
math-ph/0303006]
[246] G. Carron, P. Exner, D. Krejcirik:
Topologically non-trivial quantum layers
J. Math. Phys. 45 (2004), 774-784
[mp_arc 03-51;
math-ph/0302025]
[245] M. Andrle, C. Burdik, J.-P. Gazeau:
Bernuau spline wavelets and Sturmian sequences
J. Fourier Anal. Appl. 10 (2004), 269-300
[244] J. Dittrich, P. Exner, M. Hirokawa:
A model of interband radiative transition
J. Math. Soc. Japan 56 (2004), 753-786
[mp_arc 00-442;
math-ph/0011009]
[243] C. Burdik, O. Navratil, S. Posta, eds.:
Quantum Groups and Integrable Systems,
Proceedings of the International Conference "Symmetry Methods in
Physics" (Prague, June 21-24, 2004),
JINR Publ., Dubna 2004
[242] C. Burdik, O. Navratil, eds.:
Quantum Groups and Integrable Systems,
Proceedings of the 13th International Colloquium
(Prague, June 17-19, 2004),
Czech. J. Phys. 54 (2004), No. 11
[240] M. Znojil, ed.:
Proceedings of the Workshop "Pseudo-Hermitian Hamiltonians
in Quantum Physics II"
(Prague, June 14-16, 2004),
Czech. J. Phys. 54 (2004), No. 10
[240] M. Znojil, ed.:
Proceedings of the Workshop "Pseudo-Hermitian Hamiltonians
in Quantum Physics"
(Prague, June 16-17, 2003),
Czech. J. Phys. 54 (2004), No. 1
[239] J.A. Mendez-Bermudez, G.A. Luna-Acosta, P. Seba:
Chaotic waveguide-based resonators for microlasers
Phys. Rev. B67 (2003), 161104
[cond-mat/0303203]
[238] P. Streda, P. Seba:
Antisymmetric spin filtering in one-dimensional electron systems with
uniform spin-orbit
coupling
Phys. Rev. Lett. 90 (2003), 256601
[237] P. Seba:
Random matrix analysis of human EEG data
Phys.
Rev. Lett. 91 (2003), 198104
[236] M. Horowski, G. Chadzitaskos, A. Odzijewicz,
A. Tereszkiewicz:
The exact solution of the eigenproblem for the parametric
down conversion process in the Kerr medium
Czech. J. Phys. 53 (2003), 1015-1020
[math-ph/0308044]
[235] M. Znojil:
Comment on "Supersymmetry and Singular Potentials" by Das and
Pernice [Nucl. Phys. B 561 (1999) 357]
Nucl. Phys. B662 (2003), 554-562
[hep-th/0209262]
[234] M. Znojil:
Solvable simulation of a double-well problem in PT symmetric quantum mechanics
J. Phys. A36 (2003), 7639-7648
[quant-ph/0303122]
[233] M. Znojil:
PT symmetric models in more dimensions and solvable square-well
versions of their angular Schroedinger equations
J. Phys. A36 (2003), 7825-7838
[quant-ph/0304046]
[232] M. Znojil, D. Yanovich, V.P. Gerdt:
New exact solutions for polynomial oscillators in large dimensions
J. Phys. A36 (2003), 6531-6549
[math-ph/0302046]
[231] M. Znojil:
Low-lying spectra in anharmonic three-body oscillators with a strong short-range repulsion
J. Phys. A36 (2003), 9929-9941
[quant-ph/0307239]
[230] V.V. Nesterenko, I.G. Pirozhenko, J. Dittrich:
Nonsmoothness of the boundary and the relevant heat kernel coefficients
Class.Quant.Grav. 20 (2003), 431-456
[hep-th/0207038]
[229] F. Bentosela, P. Duclos, P. Exner:
Absolute continuity in periodic thin tubes and strongly
coupled leaky wires
Lett. Math. Phys. 65 (2003), 75-82
[mp_arc 03-325;
math.SP/0307188]
[228] P. Exner, K. Nemcova:
Leaky quantum graphs: approximations by point interaction
Hamiltonians
J. Phys. A36 (2003), 10173-10193
[mp_arc 03-275;
math-ph/0306033]
[227] P. Exner, K. Yoshitomi:
Eigenvalue asymptotics for the Schroedinger operator
with a delta-interaction on a punctured surface
Lett. Math. Phys. 65 (2003), 19-26; erratum 67
(2004), 81-82
[mp_arc 03-144;
math-ph/0303072]
[226] P. Exner, K. Nemcova:
Magnetic layers with periodic point perturbations
Rep. Math. Phys. 52 (2003), 255-280
[mp_arc 02-524;
math-ph/0212053]
[225] J. Bruening, P. Exner, V.A. Geyler:
Large gaps in point-coupled periodic systems of manifolds
J. Phys. A36 (2003), 4875-4890
[mp_arc 02-523;
math-ph/0212052]
[224] P. Exner:
Spectral properties of Schroedinger operators
with a strongly attractive delta interaction supported by a
surface
Proceedings of the NSF Summer Research Conference (Mt.
Holyoke 2002); AMS "Contemporary Mathematics" Series, vol.339,
Providence, R.I., 2003; pp. 25-36
[mp_arc 03-17;
math-ph/0301021]
[223] T. Cheon, P. Exner, P. Seba:
Extended standard map with spatio-temporal asymmetry
J. Phys. Soc. Japan, 72 (2003), 1087-1091
[cond-mat/0203241]
[222] T. Cheon, P. Exner:
Persistent currents due to point obstacles
Phys. Lett. A307 (2003), 209-214
[quant-ph/0202147]
[221] P. Exner, S. Kondej:
Bound states due to a strong delta interaction
supported by a curved surface
J. Phys. A36 (2003), 443-457
[mp_arc 02-461;
math-ph/0207025]
[220] M. Krbalek, P. Seba:
Headway statistics of public transport in Mexican cities
J. Phys.
A36 (2003), L1-5
[219] R. Weder, P. Exner, B. Grebert, eds.:
Mathematical Results in Quantum Mechanics,
Proceedings of a conference held in Taxco, December 10-14, 2001;
350 p.; Contemporary Mathematics, vol. 307; AMS, Providence, R.I.,
2002
[218] C. Burdik, ed.:
Quantum Groups and Integrable Systems,
Proceedings of the 11th International Colloquium on Quantum
Groups (Prague, June 20-22, 2002),
Czech. J. Phys. 52 (2002), 1161-1288
[217] E.N. Bulgakov, P. Exner, K.N. Pichugin,
A.F. Sadreev:
Multiple bound states in scissor-shaped waveguides
Phys. Rev. B66 (2002), 155109
[cond-mat/0206397]
[216] D. Borisov, P. Exner, R. Gadyl'shin:
Geometric coupling thresholds in a two-dimensional strip
J. Math. Phys. 43 (2002), 6265-6278
[mp_arc 02-268;
quant-ph/0206113]
[215] C. Burdik, O. Navratil:
Nonlinear superposition formulae on the Lie group SO(n+1,n)
J. Phys.
A35 (2002), 2431-2440
[214] J. Dittrich, P. Duclos:
Massive scalar field in a one-dimensional oscillating region
J. Phys.
A35 (2002), 8213-8230
[mp_arc 02-280;
math-ph/0206047]
[213] J. Dittrich, J. Kriz:
Curved planar quantum wires with Dirichlet and Neumann boundary conditions
J. Phys.
A35 (2002), L269-275
[mp_arc 02-189;
math-ph/0203007]
[212] J. Dittrich, J. Kriz:
Bound states in straight quantum waveguides with combined boundary conditions
J. Math. Phys.
43 (2002), 3892-3915
[mp_arc 02-;
math-ph/0112018]
[211] P. Duclos, O. Lev, P. Stovicek, M. Vittot:
Weakly regular Floquet Hamiltonians with pure point spectrum
Rev. Math. Phys.
14 (2002), 531-568
[mp_arc 01-115;
math-ph/0103041]
[210] P. Exner, S. Kondej:
Curvature-induced bound states for a delta interaction
supported by a curve in R^3
Ann. H. Poincare 3 (2002), 967-981
[mp_arc 02-133;
math-ph/0203028]
[209] P. Exner, K. Yoshitomi:
Persistent currents for 2D Schroedinger operator
with a strong delta-interaction on a loop
J. Phys. A35 (2002), 3479-3487
[mp_arc 02-13;
math-ph/0201020]
[208] L. Hlavaty, L. Snobl:
Poisson-Lie T-dual models with two-dimensional targets
Mod. Phys. Lett.
A17 (2002), 429-434
[hep-th/0110139]
[207] G. Levai, M. Znojil:
The interplay of supersymmetry and
PT symmetry in quantum mechanics: a case study for the
Scarf II potential
J. Phys.
A35 (2002), 8793-8804
[quant-ph/0206013]
[206] G.A. Luna-Acosta, J.A. Mendez-Bermudez, P. Seba:
Classical versus quantum structure of the scattering probability
matrix: Chaotic waveguides
Phys. Rev.
E66 (2002), 046605
[cond-mat/0107418]
[205] J.A. Mendez-Bermudez, G.A. Luna-Acosta, P. Seba:
Directional emission from microlasers with open chaotic
resonators
Phys. Stat. Solidi
B230 (2002), 385-389
[cond-mat/0210532]
[204] J.A. Mendez-Bermudez, G.A. Luna-Acosta, P. Seba,
K.N. Pichugin:
Understanding quantum scattering properties in
terms of purely classical dynamics
Phys. Rev.
E66 (2002), 046207
[cond-mat/0203006]
[203] O. Mustafa, M. Znojil:
PT symmetric
pseudo-perturbation recipe: an imaginary cubic oscillator with
spikes
J. Phys.
A35 (2002), 8929-8942
[math-ph/0206042]
[202] R.G. Nazmitdinov, K.N. Pichugin, I. Rotter, P. Seba:
Conductance of open quantum billiards and classical trajectories
Phys. Rev.
B66 (2002), 085322
[cond-mat/0111301]
[201] L. Snobl, L. Hlavaty:
Classification of 6-dimensional real Drinfeld doubles
Int. J. Mod. Phys.
A (2002), to appear
[math.QA/0202209]
[200] M. Znojil:
Should PT symmetric quantum mechanics be
interpreted as nonlinear?
J. Nonlin. Math. Phys.
9 (2002), 122-133
[quant-ph/0103054]
[199] M. Znojil:
Solvable PT-symmetric Hamiltonians
Phys. Atom Nuclei 65} (2002), 1149-1151; transl. from Yad.
Fiz. 65 (2002), 1182-1184
[quant-ph/0008125]
[198] M. Znojil:
Non-Hermitian SUSY and singular, PT-symmetrized oscillators
J. Phys. A35 (2002), 2341-2352
[hep-th/0201056]
[197] M. Znojil, F. Gemperle, O. Mustafa:
Asymptotic solvability of
an imaginary cubic oscillator with spikes
J. Phys. A35 (2002), 5781-5793
[hep-th/0205181]
[196] M. Havlicek, J. Patera, E. Pelantova, J. Tolar:
Automorphisms of the fine grading of sl(n,C) associated
with general Pauli matrices
J. Math. Phys. 43 (2002), 1083-1094
[195] P. Exner, P. Stovicek, P. Vytras:
Generalised boundary conditions for the Aharonov-Bohm effect combined
with a homogeneous magnetic field
J. Math. Phys. 43 (2002), 2151-2168
[mp_arc 01-415;
quant-ph/0111050]
[194] P. Exner, K. Nemcova:
Quantum mechanics of layers with a finite number of
point perturbations
J. Math. Phys. 43 (2002), 1152-1184
[mp_arc 01-109;
math-ph/0103030]
[193] P. Exner, K. Yoshitomi:
Asymptotics of eigenvalues of the Schroedinger operator with
a strong delta-interaction on a loop
J. Geom. Phys. 41 (2002), 344-358
[mp_arc 01-108;
math-ph/0103029]
[192] R. Nazmitdinov, K. Pichugin, I. Rotter, P. Seba:
Whispering gallery modes in open microwave cavities
Phys. Rev. E64 (2001), art. 056214
[cond-mat/0104056]
[191] M. Krbalek, P. Seba, P. Wagner P.:
Headways in traffic flow: remarks from physical perspective
Phys. Rev. E64 (2001), art. 066619
[190] J. Weber, F. Haake, P.A. Braun, P. Seba:
Resonances of the Frobenius-Perron operator for a Hamiltonian map
with a mixed phase space
J. Phys. A34 (2001), 7195-7211
[189] T. Gorin, M. Muller, P. Seba:
Comment on "Models of intermediate spectral statistics" - art. 068201
Phys. Rev. E63 (2001), art. 068201
[mp_arc 01-415;
cond-mat/0007031]
[188] P. Seba, I. Rotter, M. Muller et al.:
Open microwave cavities
Physica E9 (2001), 484-487
[187] M. Havlicek, A.V. Klimyk:
Representations of the q-deformed algebra U_q(so_4)
J. Math. Phys. 42 (2001), 5389-5416
[186] C. Burdik, A. Pashnev, M. Tsulaia:
The Lagrangian description of representations of the
Poincare group
Nucl. Phys. Proc. Suppl. 102 (2001), 285-292
[185] L. Hlavaty, L. Snobl:
Principal models on non-semisimple groups
J. Phys. A34 (2001), 7795-7809 [cf. author's
homepage]
[184] H.-D. Doebner, P. Stovicek, J. Tolar:
Quantization of kinematics on configuration manifolds
Rev. Math. Phys. 13 (2001), 799-845
[183] C. Burdik, A. Pashnev, M. Tsulaia:
On the mixed symmetry irreducible representations of the
Poincare group in the BRST approach
Mod. Phys. Lett. A16 (2001), 731-746
[182] M. Znojil, G. Levai:
Spontaneous breakdown of PT symmetry in the solvable squarre well model
Mod. Phys. Lett. A16 (2001), 2273-2280
[hep-th/0111213]
[181] M. Znojil, G. Levai, P. Roy, R. Roychoudhury:
Anomalous doublets of states in a PT symmetric quantum model
Phys. Lett. A290 (2001), 249-254
[180] G. Levai, M. Znojil:
Conditions for complex spectra in a class of PT symmetric potentials
Mod. Phys. Lett. A16 (2001), 1973-1981
[179] B. Bagchi, C. Quesne, M. Znojil:
Generalized continuity equation and modified normalization in
PT-symmetric quantum mechanics
Mod. Phys. Lett. A16 (2001), 2047-2057
[quant-ph/0108096]
[178] M. Znojil:
Poeschl-Teller paradoxes
J. Phys. A34 (2001), 9585-9592
[177] M. Znojil:
PT symmetric square well
Phys. Lett. A285 (2001), 7-10
[quant-ph/0101131]
[176] M. Znojil, M. Tater:
Exactly solvable three-body Calogero-type
model with translucent two-body barriers
Phys. Lett. A284 (2001), 225-230
[nucl-th/0103015]
[175] M. Znojil:
PT symmetrized SUSY quantum mechanics
Czech. J. Phys. 51 (2001), 420-428
[174] R. Roychoudhury, P. Roy, M. Znojil, G. Levai:
Comprehensive analysis of conditionally exactly solvable models
J. Math. Phys. 42 (2001), 1996-2007
[math-ph/0102017]
[173] M. Znojil, M. Tater:
Complex Calogero model with real energies
J. Phys. A34 (2001), 1793-1803
[quant-ph/0010087]
[172] M. Znojil:
Eight exactly solvable complex potentials in Bender-Boettcher quantum mechanics
Rendiconti del Circ. Mat. di Palermo, Serie II, Suppl. 66
(2001), 213-218
[171] P. Exner, K. Yoshitomi:
Band gap of the Schroedinger operator with a strong
delta-interaction on a periodic curve
Ann. H. Poincare 2 (2001), 1139-1158
[mp_arc 01-226;
math-ph/0106025]
[170] P. Exner, K. Nemcova:
Bound states in point-interaction star graphs
J. Phys. A34 (2001), 7783-7794
[mp_arc 01-213;
quant-ph/0106047]
[169] P. Exner, A. Joye, H. Kovarik:
Magnetic transport in a straight parabolic channel
J. Phys. A34 (2001), 9733-9752
[mp_arc 01-111;
math-ph/0103036]
[168] P. Exner, D. Krejcirik:
Bound states in mildly curved layers
J. Phys. A34 (2001), 5969-5985
[mp_arc 01-110;
math-ph/0103032]
[167] P. Duclos, P. Exner, D. Krejcirik:
Bound states in curved quantum layers
Commun. Math. Phys. 223 (2001), 13-28
[mp_arc 01-79;
math-ph/0102033]
[166] P. Exner, H. Neidhardt, V. Zagrebnov:
Potential approximations to delta': an inverse Klauder phenomenon
with norm-resolvent convergence
Commun. Math. Phys. 224 (2001), 593-612
[mp_arc 01-107;
math-ph/0103027]
[165] P. Exner, T. Ichinose:
Geometrically induced spectrum in curved leaky wires
J. Phys. A34 (2001), 1439-1450
[mp_arc 00-447;
math-ph/00111015]
[164] P. Exner:
Bound states of infinite curved polymer chains
Lett. Math. Phys. 57 (2001), 87-96
[mp_arc 00-421;
math-ph/0010046]
[163] P. Exner, A. Joye:
Avoided crossings in mesoscopic systems: electron propagation on a
non-uniform magnetic cylinder
J. Math. Phys. 42 (2001), 4707-4738
[mp_arc 00-419;
math-ph/0010042]
[162] D. Borisov, P. Exner, R. Gadyl'shin, D. Krejcirik:
Bound states in weakly deformed strips and layers, Ann.
H. Poincare 2 (2001), 553-572
[mp_arc 00-473;
math-ph/0011052]
[161] G. Chadzitaskos, J.Tolar: The 2-diffraction system, Optics
Commun. 187 (2001), 359-362
[160] P. Duclos, P. Exner, B. Meller: Open quantum dots: resonances
from perturbed symmetry and bound states in strong magnetic
fields, Rep. Math. Phys. 47 (2001), 253-267
[mp_arc 00-279;
math-ph/0006031]
[159] M. Havlicek, J. Patera, E. Pelantova, J. Tolar:
On fine gradings and their symmetries, Czech. J. Phys. 51
(2001), 383-391
[158] M. Havlicek, S. Posta: On the classification of
irreducible finite-dimensional representations of U_q(so(3)),
J. Math. Phys. 42 (2001), 472-500
[157] P. Seba, P. Exner, K.N. Pichugin, A. Vyhnal, P. Streda:
Two-component interference effect: model of a spin-polarized
transport, Phys. Rev. Lett. 86 (2001), 1598-1601
[cond-mat/0005410]
[156] C. Burdik, A.A. Vladimirov, eds.:
Quantum Groups and Integrable Systems,
Proceedings of the 9th International Colloquium on Quantum
Groups (Prague, June 22-24, 2000),
Czech. J. Phys. 50 (2000), No. 11
[155] C. Burdik, A.A. Vladimirov, eds.:
Quantum Groups and Integrable Systems,
Proceedings of the 8th International Colloquium on Quantum
Groups (Prague, June 17-19, 1999),
Czech. J. Phys. 50 (2000), 1-224.
[154] C. Burdik, A. Pashnev, M. Tsulaia: Auxiliary
representations of Lie algebras and the BRST constructions, Mod.
Phys. Lett. A15 (2000), 281-291.
[153] C. Burdik, P. Grozman, D. Leites, A. Sergeev:
Realizations of Lie algebras and superalgebras via creation and
annihilation operators I, Teor. Mat. Fyz. 124 (2000), 1048
[152] T. Cheon, P. Exner, P. Seba: Wave function shredding by
sparse potential barriers, Phys. Lett. A277 (2000), 1-6.
[ quant-ph/0004058]
[151] P. Duclos, P. Exner, D. Krejcirik: Locally
curved quantum layers, Ukrainian J. Phys. 45 (2000),
595-601.
[mp_arc 99-376;
quant-ph/9910035]
[150] P. Exner, H. Kovarik: Magnetic strip waveguides, J.
Phys. A33 (2000), 3297-3311.
[mp_arc 99-399;
cond-mat/9910301]
[149] P. Exner, V.A. Geyler: Berry phase in magnetic systems with
point interactions, J. Geom. Phys. 36 (2000), 178-197.
[mp_arc 99-431;
quant-ph/9911060]
[148] P. Exner, V.A. Geyler: Berry phase for a potential well
transported in a homogeneous magnetic field, Phys. Lett.
A276 (2000), 16-18.
[mp_arc 00-218;
quant-ph/0005037]
[147] M. Havlicek, A.U. Klimyk, S. Posta: Casimir
elements of algebras U_q(so(m)), Czech. J. Phys. 50
(2000), 79-84.
[146] M. Havlicek, A.U. Klimyk, S. Posta:
Classification of representations of the algebra U_q(so(3)),
Czech. J. Phys. 50 (2000), 1235-1238.
[145] L. Hlavaty: On the Lax formulation of generalized SU(2)
principal models, Phys. Lett. A271 (2000), 207-212.
[144] L. Hlavaty : Principal models on a solvable group with
nonconstant metric, Phys. Lett. A275 (2000), 419-423.
[nlin.SI/0006016]
[143] G. Levai, M. Znojil: Systematic search for
PT symmetric potentials with real energy spectra, J. Phys. A33
(2000), 7165
[142] M. Krbalek, P. Seba: The statistical properties of the
city transport in Cuernavaca (Mexico) and random matrix
ensembles, J. Phys. A33 (2000), L229-L234.
[141] M. Mueller, K.A. Pichugin, I. Rotter, P. Seba:
Collective modes in an open microwave billiard, Phys. Rev.
E61 (2000), 66-70.
[140] K.A. Pichugin, P. Streda, P. Seba, A.F. Sadreev:
Resonance behavior of the Hall-like resistance induced by
spin-orbit interaction in a four terminal junction, Physica
E6 (2000), 727-730.
[139] I. Rotter, E. Persson, K. Pichugin, P. Seba: Spectrosopic
studies in open quantum systems, Phys. Rev. E62 (2000),
450-461.
[138] J. Weber, F. Haake, P. Seba: Frobenius-Perron resonances
for maps with a mixed phase space, Phys. Rev. Lett. 85
(2000), 3620-3623.
[137] M. Znojil: Perturbation method with triangular propagators
and anharmonicities of intermediate strength, J. Math. Chem. 28 (2000),
139-167 [quant-ph/9910114]
[136] M. Znojil: Spiked and PT-symmetrized decadic
potentials supporting elementary N-plets of bound states, J.
Phys. A33 (2000), 6825
[quant-ph/0002083]
[135] M. Znojil, G. Levai: The Coulomb - harmonic-oscillator
correspondence in PT symmetric quantum mechanics,
Phys. Lett. A271 (2000), 327-333.
[quant-ph/0003081]
[134] M. Znojil: PT-symmetrically regularized Eckart,
Poeschl-Teller and Hulthen potentials, J. Phys. A33
(2000), 4561-4572.
[quant-ph/9912027]
[133] M. Znojil, F. Cannata, B. Bagchi, R.
Roychoudhury:
Supersymmetry without hermiticity within PT symmetric
quantum mechanics, Phys. Lett. B483 (2000), 284-289.
[hep-th/0003277]
[132] M. Znojil: New perturbation method with the matching of wave
functions, Intern. J. Quant. Chem. 79 (2000), 235-242.
[quant-ph/9812027]
[131] M. Znojil: Quasi-exactly solvable quartic potentials with
centrifugal and Coulombic terms, J. Phys. A33 (2000),
4203-4211.
[math-ph/0002036]
[130] M. Znojil: Comment on "Conditionally exactly
soluble class of quantum potentials", Phys. Rev. A61
(2000), 066101.
[quant-ph/9811088]
[129] M. Znojil: Perturbed Poeschl-Teller oscillators,
Phys. Lett. A266 (2000), 254-259.
[math-ph/0001022]
[128] M. Znojil: Short-range oscillators in power-series picture,
J. Phys. A33 (2000), 1647-1659.
[quant-ph/9909068]
[127] M. Znojil: Shape invariant potentials with
PT symmetry, J. Phys. A33 (2000), L61-62.
[quant-ph/9911116]
[126] M. Andrle, C. Burdik, J.-P. Gazeau, R. Krejcar:
Wavelet multiresolutions for the Fibonacci chain,
J. Phys. A33 (2000), L47-51
[125] M. Havlicek, J. Patera, E. Pelantova: On Lie gradings.
III. Gradings of the real forms of classical Lie algebras,
Lin. Alg. Appl. 314 (2000), 1-47.
[124] F. Bentosela, R.M. Cavalcanti, P. Exner,
V.A. Zagrebnov: Anomalous electron trapping by localized
magnetic fields,
J. Phys. A32 (1999), 3029-3039
[mp_arc 99-56;
math-ph/9903030]
[123] E.A. Bulgakov, K.A. Pichugin, A.F. Sadreev, P. Streda,
P. Seba: Hall-like effect induced by spin-orbit
interaction, Phys. Rev. Lett. 83 (1999), 376-379.
[122] v{C}. Burdik, O. Navratil: The q-boson
realizations of the quantum groups U_q(D_n), J. Phys. A32
(1999), 6141-6147.
[121] C. Burdik, O. Navratil: The q-boson
realizations of the quantum groups U_q(C_n), Int. J. Mod. Phys.
14 (1999), 4491-4500.
[120] P. Duclos, P. Stovicek, M. Vittot:
Perturbation of an eigen-value from a dense point spectrum: a
general Floquet Hamiltonian, Ann. Inst. H. Poincare 71
(1999), 241-301.
[119] P. Exner, D. Krejcirik: Quantum waveguide with a
lateral semitransparent barrier: spectral and scattering
properties, J. Phys. A32 (1999), 4475-4494.
[mp_arc 99-124;
cond-mat/9904379]
[118] P. Exner, S.A. Vugalter: On the number of particles
that a curved quantum waveguide can bind, J. Math. Phys. 40
(1999), 4630-4638.
[mp_arc 98-8;
math.FA/9801021]
[117] P. Exner, A. Joye, H. Kovarik: Edge currents in the
absence of edges, Phys. Lett. A264 (1999), 124-130.
[mp_arc 99-299;
cond-mat/9908248]
[116] M.F. Fernandez, R. Guardiola, J. Ros, M. Znojil:
A family of complex potentials with real spectrum, J. Phys. A32
(1999), 3105-3116.
[quant-ph/9812026]
[115] M. Havlicek, S. Posta, A.U. Klimyk:
Representations of cyclically symmetric q-deformed algebra
so_q(3), J. Math. Phys. 40 (1999), 2135-2161.
[114] M. Havlicek, S. Posta, A.U. Klimyk:
Representations of q-deformed algebra U_q(iso(2)), J. Math.
Phys. 40 (1999), 3104-3122.
[113] M. Havlicek, P. Winternitz, S. Posta:
Nonlinear superposition formulas based on imprimitive group action,
J. Phys. A32 (1999), 1-10.
[112] L. Hlavaty: Lax formulation of generalized SU(2) chiral
models, Rev. Math. Phys., Proceedings of the
1998 Bialowieza Conference, pp. 335-338.
[cf. author's homepage]
[111] L. Hlavaty, L. Snobl: Solution of the Yang-Baxter
system for quantum doubles, Int. J. Mod. Phys. A14 (1999),
3029-3059.
[cf. author's homepage]
[110] P. Seba, U. Kuhl, M. Barth, H.J. Stoeckmann: Experimental
verification of topologically induced vortices inside a billiard,
J. Phys. A32 (1999), 8225-8230.
[109] P. Seba, K. Zyczkowski, J. Zakrzewski: Random matrix
approach to "nonuniversal" conductance, Acta Phys. Polon.
B30 (1999), 2797-2810.
[108] P. Stovicek: A construction of
representations and quantum homogeneous spaces, Lett. Math.
Phys. 47 (1999), 125-138.
[107] M. Znojil: Exact solution for Morse oscillator in
PT-symmetric quantum mechanics, Phys. Lett. A264 (1999),
108-111.
[quant-ph/9909003]
[106] M. Znojil: Non-Hermitian matrix description of the
PT-symmetric anharmonic oscillators, J. Phys. A32 (1999),
7419-7428.
[quant-ph/9906029]
[105] M. Znojil: PT-symmetric anharmonic oscillators,
Phys. Lett. A259 (1999), 220-223.
[quant-ph/9905020]
[104] M. Znojil: Elementary doublets of bound states of the radial
Dirac equation, Mod. Phys. Lett. A14 (1999), 863-868.
[math-ph/9905003]
[103] M. Znojil: Singular potentials with quasi-exact Dirac bound
states, Phys. Lett. A255 (1999), 1-6.
[102] M. Znojil: Harmonic oscillator well with a screened Coulombic
core is quasi-exactly solvable, J. Phys. A32 (1999),
4563-4570.
[math-ph/9904039]
[101] J. Dittrich, P. Exner, M. Tater, eds.:
Mathematical Results in Quantum Mechanics,
Proceedings of a conference held in Prague, June 22-26, 1998;
393 p.; Operator Theory : Advances and Applications,
Birkhauser Verlag, Basel 1999
[100] C. Burdik, A.A. Vladimirov, eds.:
Quantum Groups and Integrable Systems,
Proceedings of the 7th International Colloquium on Quantum
Groups (Prague, June 18-20, 1998),
Czech. J. Phys. 48 (1998), 1261-1516
[99] J. Asch, P. Duclos, P. Exner:
Stability of driven systems with growing gaps. Quantum rings
and Wannier ladders,
J. Stat. Phys. 92 (1998), 1053-1069
[mp_arc 98-8;
math-ph/9807025]
[98] F. Bentosela, P. Exner, V.A. Zagrebnov:
A mechanism of porous-silicon luminescence,
Phys. Rev. B53 (1998), 1382-1385
[cond-mat/9709281]
[97] F. Bentosela, P. Exner, V.A. Zagrebnov:
Electron trapping by a current vortex,
J. Phys. A31 (1998), L305-311
[cond-mat/9803166]
[96] C. Burdik, Ch. Frougny, J.-P. Gazeau, R. Krejcar:
Beta numbers as natural counting systems for quasicrystals,
J. Phys. A31 (1998), 6449-6472
[95] C. Burdik, O. Navratil:
The q-boson realization of the quantum group U_q(B_n),
Czech. J. Phys. 48 (1998), 1301-1306
[94] G. Chadzitaskos, A. Odziewicz:
Para-Grassmann star-product calculation,
Lett. Math. Phys. 43 (1998), 199-209
[93] L. Dabrowski, P. Stovicek:
Aharonov-Bohm effect with delta-type interaction,
J. Math. Phys. 39 (1998), 47-62
[92] J. Dittrich, P. Duclos, N. Gonzalez:
Stability and instability of the wave equation solutions
in a pulsating domain,
Rev. Math. Phys. 10 (1998), 925-962
[91] P. Duclos, P. Exner, B. Meller:
Exponential bounds on curvature-induced resonances in
a two-dimensional Dirichlet tube,
Helv. Phys. Acta 71 (1998), 133-162
[mp_arc 97-482;
funct-an/9709001]
[90] P. Exner, A.F. Sadreev, P. Seba, P. Streda,
P. Feher:
Strength of topologically induced magnetic moments in a
quantum device,
Phys. Rev. Lett. 80 (1998), 1710-1713
[cond-mat/9709280]
[89] P. Exner, P. Seba:
Probability current tornado loops in three-dimensional
scattering,
Phys. Lett. A245 (1998), 35-39
[quant-ph/9710030]
[88] P. Exner, M. Tater:
Evanescent modes in a multiple scattering factorization,
Czech. J. Phys. 48 (1998), 617-624
[cond-mat/9710051]
[87] F.M. Fernandez, R. Guardiola, J. Ros, M. Znojil:
Strong-coupling expansion for the PT-symmetric
oscillators V(x)= a(ix) + b(ix)^2 + c(ix)^3,
J. Phys. A31 (1998), 10105-10112
[86] R. Gebarowski, P. Seba, K. Zyczkowski,
J. Zakrzewski:
Quantum chaotic scattering in the strip: from diffusion to
localization,
Eur. J. Phys. B6 (1998), 399-409
[85] M. Havlicek, J. Patera, E. Pelantova:
On Lie gradings II,
Lin. Algebra and its Appl. 277 (1998), 97-125
[84] E. Persson, K. Pichugin, I. Rotter, P. Seba:
Interfering resonances in a microwave billiard,
Phys. Rev. E58 (1998), 8801-8004
[83] H.J. Stoeckmann, P. Seba:
The joint energy distribution function for the Hamiltonian
H=H_0+iWW^+ for the one channel case,
J. Phys. A31 (1998), 3439-3448
[82] P. Stovicek:
A construction of representations of quantum groups: an
example of U_q(so(5)),
Czech. J. Phys. 48 (1998), 1501-1506
[81] P. Stovicek, O. Vana:
Differential cross section for the Aharonov-Bohm effect with
nonstandard boundary conditions,
Europhys. Lett. 44 (1998), 403-408
[80] M. Znojil:
Quantum exotic: a repulsive and bottomless confining
potential,
J. Phys. A31 (1998), 3343-3355
[79] M. Znojil, R. Roychoudhury:
Spiked and screened oscillators
V(r)=Ar^2+B/r^2+C/r^4+D/r^6+F/(1+gr^2),
Czech. J. Phys. 48 (1998), 1-8
[78] J. Dittrich, V.I. Inozemtsev:
On the second-neighbor correlator in 1D XXX quantum antiferromagnetic
spin chain,
J. Phys. A30 (1997), L623-626
[77] J. Dittrich, V.I. Inozemtsev:
On the two-magnon bound states for the quantum Heisenberg chain
with variable range exchange,
Mod. Phys. Lett. B11 (1997), 453-459
[76] P. Duclos, P. Stovicek, M. Vittot:
Perturbation of an eigenvalue from a dense point spectrum,
J. Phys. A30 (1997), 7167-7185
[75] P. Exner, S.A. Vugalter:
Bound-state asymptotic estimates for window-coupled Dirichlet strips
and layers,
J. Phys. A30 (1997), 7863-7878
[mp_arc 97-523;
funct-an/9709003]
[74] M. Havlicek, A.U. Klimyk, E. Pelantova:
Nonstandard deformations U_q(so_3) and U_q(so_4): tensor products
of representations, q-oscillator realizations and root of unity,
Czech J. Phys. 47 (1997), 13-16
[73] M. Havlicek, J. Patera, E. Pelantova:
On the fine gradings of simple classical Lie algebras,
Int. J. Mod. Phys. 12 (1997), 189-194
[72] L. Hlavaty:
Classification of quantised braided groups in the dimension two,
Int. J. Mod. Phys. A12 (1997), 5161-5169
[cf. author's
homepage]
[71] P. Seba, F. Haake, M. Kus, M. Barth, U. Kuhl,
H.-J. Stoeckmann:
Distribution of the wavefunction inside chaotic partially open
systems,
Phys. Rev. E56 (1997), 2680-2686
[70] P. Stovicek, R. Twarock:
Representations of U_h(SU(N)) derived from quantum flag manifolds,
J. Math. Phys. 38 (1997), 1161-1182
[69] J. Tolar, G. Chadzitaskos:
Quantization on Z_M and coherent states over Z_M x Z_M,
J. Phys. A30 (1997), 2509-2517
[68] J. Tolar, J. Travnicek:
Graded contractions of symplectic Lie algebras in collective models
J. Math. Phys. 38 (1997), 49-56
[67] M. Znojil:
Perturbation theory for quantum mechanics in its Hessenberg-matrix
representation,
Int. J. Mod. Phys. A12 (1997), 299-304
[66] M. Znojil:
Asymmetric bound states via the quadrupled Schroedinger equation,
Phys. Lett. A230 (1997), 283-287
[65] M. Znojil:
r^D oscillators with arbitrary D>0 and perturbation expansions with
Sturmians,
J. Math. Phys. 38 (1997), 5087-5097
[64] P. Exner, P. Seba:
Resonance statistics in a microwave cavity with a thin antenna,
Phys. Lett. A228 (1997), 146-150
[quant-ph/9702022]
[63] P. Exner:
Magnetoresonances on a lasso graph,
Found. Phys. 27 (1997), 171-190
[mp_arc 97-7;
quant-ph/9701007]
[62] P. Exner, S.A. Vugalter:
Bounds states in a locally deformed waveguide: the critical case
Lett. Math. Phys. 39 (1997), 59-68
[mp_arc 97-15;
funct-an/9601002]
[61] P. Exner:
A duality between Schroedinger operators on graphs and certain
Jacobi matrices
Ann. Inst. H. Poincare: Phys. Theor. 66 (1997),
359-371
[mp_arc 95-414;
funct-an/9509002]
[60] C. Burdik, O. Navratil:
Vertex operators for two parametric deformations of U_{q,s (sl(2) )
Czech. J. Phys. B46 (1996), 1203-1210
[59] M. Znojil:
Double well model V(r) = ar^2+br^4+cr^6 with a<0 and perturbation
method with triangular propagators
Phys. Lett. A222 (1996), 291-298
[58] P. Exner, P. Seba:
Point interactions in dimension two and three as models of small
scatterers,
Phys. Lett. A222 (1996), 1-4
[cond-mat/9607016]
[57] P. Exner, R. Gawlista, P. Seba, M. Tater:
Point interactions in a strip
Ann. Phys. 252 (1996), 133-179
[mp_arc 96-320;
cond-mat/9607017]
[56] F. Haake, P. Seba, H.-J. Stoeckmann, U. Stoffregen:
Microwave billiards with broken time reversal invariance
J. Phys. A29 (1996), 5745-5757
[55] M. Znojil:
Circular vectors and toroidal matrices
Rendiconti del Circolo Matematico di Palermo Serie II - Suppl.
39 (1996), 143-148
[54] M. Znojil:
Screened Coulomb potential V(r)= (alpha +beta r)/(gamma +delta r) in
a semirelativistic Pauli-Schroedinger equation
J. Phys. A29 (1996), 6443-6453
[53] P. Duclos, P. Stovicek:
Floquet Hamiltonians with pure point spectrum
Commun. Math. Phys. 177 (1996), 327-374
[52] P. Exner, S.A. Vugalter:
Asymptotic estimates for bound states in quantum waveguides
coupled laterally through a narrow window
Ann. Inst. H. Poincare: Phys. Theor. 65 (1996), 109-123
[mp_arc 96-29;
funct-an/9602001]
[51] P. Exner:
Weakly coupled states on branching graphs
Lett. Math. Phys., 38 (1996), 313-320
[mp_arc 95-522;
funct-an/9512001]
[50] M. Znojil:
Comment on the letter "A new efficient method for
calculating perturbation energies using functions which are not
quadratically integrable" by L. Skala and J.Cizek
J. Phys. A29 (1996), 5253-5256
[49] S. Albeverio, F. Haake, P. Kurasov, M. Kus, P. Seba:
S-matrix, resonances and wave function for transport through
billiards with leads
J. Math. Phys. 37 (1996), 4888-4903
[48] P. Exner, P. Seba, M.Tater, D. Vanek:
Bound states and scattering in quantum waveguides coupled
laterally through a boundary window
J. Math. Phys. 37 (1996), 4867-4887
[mp_arc 95-527;
funct-an/cond-mat/9512088]
[47] P. Seba, K, Zyczkowski, J. Zakrzewski:
Statistical properties of random scattering matrices
Phys. Rev. E54 (1996), 2438-2446
[46] M. Znojil:
Harmonic oscillations in a quasi-relativistic regime
J. Phys. A29 (1996), 2905-2917
[45] P. Seba:
Random matrix theory and mesoscopic fluctuations
Phys. Rev. B53 (1996), 13024-13028
[44] P. Exner, R. Gawlista:
Band spectra of rectangular graph superlattices
Phys. Rev. B53 (1996), 7275-7286
[mp_arc 95-398;
cond-mat/9509027]
[43] P. Stovicek:
Antiholomorphic representations for orthogonal and symplectic quantum
group
J. of Algebra 184 (1996), 71-101
[42] L. Hlavaty, L. Kundu:
Quantum integrability of nonultralocal models through Baxterisation
of quantised braided algebra
Int. J. Mod. Phys. 11 (1996), 2143-2152
[cf. author's homepage]
[41] M. Znojil:
Nonlinearized perturbation theories
J. Nonlin. Math. Phys. 3 (1996), 51-62
[40] M. Znojil:
Jacobi polynomials and bound states
J. Math. Chem. 19 (1996), 205-213
[39] C. Burdik, O. Navratil:
Boson realizations of Yangians Y(sl(2)) and Y(sl(3))
Czech. J. Phys. B46 (1996), 145-150
[38] M. Znojil:
The most general iteration scheme for Lippmann-Schwinger-type
equations
Phys. Lett. A211 (1996), 319-326
[37] P. Exner:
Contact interactions on graph superlattices
J. Phys. A29 (1996), 87-102
[mp_arc 95-415;
funct-an/9509001]
[36] M. Znojil:
Bound-state method with elementary-product wavefunctions
J. Phys. A28 (1995), 6265-6276
[35] P. Exner:
A quantum pipette
J. Phys. A28 (1995), 5323-5330
[mp_arc 95-417]
[34] L. Hlavaty:
Algebraic framework for quantization of nonultralocal models
J. Math. Phys. 36 (1995), 4882-4897
[cf. author's homepage]
[33] P. Hajicek, A. Higuchi, J. Tolar:
Group quantization of parametrized systems, II. Pasting Hilbert
spaces
J. Math. Phys. 36 (1995), 4639-4666
[32] P. Exner:
The absence of the absolutely continuous spectrum for delta'
Wannier-Stark ladders
J. Math. Phys. 36 (1995), 4561-4570
[mp_arc 95-408]
[31] P. Stovicek:
Scattering on a finite chain of vertices
Duke Math. J. 76 (1994), 303-332
[30] J. Tolar, J. Travnicek:
Graded contractions and the conformal group of spacetime
J. Math. Phys. 36 (1995), 4489-4506
[29] P. Exner:
Lattice Kronig-Penney models
Phys. Rev. Let. 74 (1995), 3503-3506
[28] P. Duclos, P. Exner, P. Stovicek:
Curvature-induced resonances in a two-dimensional Dirichlet tube
Ann. Inst. H. Poincare 62 (1995), 81-101
[27] P. Duclos, P. Exner:
Curvature-induced bound states in quantum waveguides in two and
three dimensions
Rev. Math. Phys. 7 (1995), 73-102
[mp_arc 97-323]
[26] P. Moylan:
Harmonic Analysis on Spannors
J. Math. Phys. 36 (1995), 2826-2876
[25] M. Znojil:
Minimal relativity and Hulthen potentials
Phys. Lett. A203 (1995), 1-4
[24] P. Moylan:
An elementary account of the factor of 4/3 in the electromagnetic
mass
Amer. J. Phys. 63 (1995), 818-820
[23] M. Znojil:
Non-numerical estimate of the number of bound states in some
screened Coulomb potentials
Phys. Rev. A51 (1995), 128-135
[22] P. Exner, M. Tater:
A one-band model for a weakly coupled quantum-wire resonator
Phys. Rev. B50 (1994), 18350-18354
[21] P. Exner, E. Seresova:
Appendix resonances on a simple graph
J. Phys. A27 (1994), 8269-8278
[20] L. Hlavaty:
Generalized algebraic framework for open spin chains
J. Phys. A27 (1994), 5645-5653
[cf. author's homepage]
[19] M. Znojil:
Classification of oscillators in the Hessenberg-matrix representation
J. Phys. A27 (1994), 4945-4568
[18] L. Hlavaty:
Quantized braided groups
J. Math. Phys. 35 (1994), 2560-2569
[cf. author's homepage]
[17] J.-P. Antoine, P. Exner, P. Seba, J. Shabani:
A mathematical model of heavy-quarkonia mesonic decays
Ann. Phys. 233 (1994), 1-16
[16] M. de Montigny, J. Patera, J. Tolar:
Graded contractions and kinematical groups of spacetime
J. Math. Phys. 35 (1994), 405-425
[15] M. Znojil:
Two-sided estimates of energies and the "forgotten"
exactly solvable potential V(r)=-a^2 r^{-2 +b^2 r^{-4
Phys. Lett. A189 (1994), 1-6
[14] M. Znojil:
An analytic estimate of the number of bound states in the
Lennard-Jones potentials
Phys. Lett. A188 (1994), 113-116
[13] J.F. Brasche, P. Exner, Yu.A. Kuperin, P. Seba:
Schroedinger operators with singular interactions
J. Math. Anal. Appl. 184 (1994), 112-139
[12] M. Znojil:
A new form of re-arrangement of the Rayleigh-Schroedinger
perturbation series
Czech. J. Phys. B44 (1994), 545-556
[11] J.E. Avron, P. Exner, Y. Last:
Periodic Schroedinger operators with large gaps and
Wannier-Stark ladders
Phys. Rev. Lett. 72 (1994), 896-899
[
mp_arc 94-12]
[10] J. Blank, P. Exner, M. Havlicek:
Hilbert Space Operators in Quantum Physics, xiii+594 p.
American Institute of Physics, New York 1994.
[9] M. Demuth, P. Exner, H. Neidhardt, V.A. Zagrebnov,
eds.: Mathematical Results in Quantum Mechanics,
Operator Theory : Advances and Applications, vol.70, Birkhauser,
Basel 1994.
[8] B. Jurco, P. Stovicek:
Dressing transformation on quantum compact groups
Suppl. Rendiconti Circolo Mat. Palermo II (1993), 39-48
[7] P. Stovicek:
Scattering on two solenoids
Phys. Rev. A48 (1993), 3987-3990
[6] P. Exner:
A twisted Landau gauge
Phys. Lett. A178 (1993), 236-238
