Dr. Vladimir Lotoreichik

Vladimir Lotoreichik and Petr Siegl
Spectra of definite type in waveguide models
to appear in Proc. Amer. Math. Soc. arXiv.

Jussi Behrndt, Rupert L. Frank, Christian Kühn, Vladimir Lotoreichik and Jonathan Rohleder
Spectral theory for Schrödinger operators with δ-interactions supported on curves in ℝ³
submitted. arXiv.

Jussi Behrndt, Pavel Exner, Markus Holzmann and Vladimir Lotoreichik
Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
to appear in Math. Nachr., arXiv.

Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Trace formulae for Schrödinger operators with singular interactions
to appear in EMS Special Issue. arXiv.

Pavel Exner and Vladimir Lotoreichik
A spectral isoperimetric inequality for cones
submitted. arXiv.

Vladimir Lotoreichik and Thomas Ourmières-Bonafos
On the bound states of Schrödinger operators with δ-interactions on conical surfaces
to appear in Comm. Partial Differential Equations, arXiv.

Michal Jex and Vladimir Lotoreichik
On absence of bound states for weakly attractive δ'-interactions supported on non-closed curves in ℝ²
J. Math. Phys. 57 (2016), 022101. arXiv.

Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
Quasi boundary triples and semibounded self-adjoint extensions
to appear in Proc. Roy. Soc. Edinburgh Sect. A. arXiv.

Jussi Behrndt, Gerd Grubb, Matthias Langer, and Vladimir Lotoreichik
Spectral asymptotics for resolvent differences of elliptic operators with δ and δ'-interactions on hypersurfaces
J. Spectr. Theory. 5 (2015), 697–729. arXiv.

Vladimir Lotoreichik and Jonathan Rohlelder
An eigenvalue inequality for Schrödinger operators with δ and δ′-interactions supported on hypersurfaces
Oper. Theory Adv. Appl. 247 (2015), 173–184. arXiv.

Vladimir Lotoreichik, Hagen Neidhardt, and Igor Yu. Popov
Point contacts and boundary triples
Mathematical Results in Quantum Mechanics, Proceedings of the QMath12 Conference, P. Exner, W. König, and H. Neidhardt (eds), World Scientific, Singapore, 2015, pp. 283--293. arXiv.

Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Schrödinger operators with δ-interactions supported on conical surfaces
J. Phys. A: Math. Theor. 47 (2014), 355202 (16pp). arXiv. (Open Access).

Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Schrödinger operators with δ and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
Rev. Math. Phys. 26 (2014), 1450015 (43pp). arXiv.

Vladimir Lotoreichik
Lower bounds on the norms of extension operators for Lipschitz domains
Operators and Matrices 8 (2014), 573–592. arXiv.

Sylwia Kondej and Vladimir Lotoreichik
Weakly coupled bound state of 2-D Schrödinger operator with potential-measure
J. Math. Anal. Appl. 420 (2014), 1416–1438. arXiv. (Open Access).

Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators
J. London. Math. Soc. (2) 88 (2013), 319–337. arXiv.

Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Spectral estimates for resolvent differences of self-adjoint elliptic operators
Integral Equations and Operator Theory 77 (2013), 1–37. arXiv.

Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Schrödinger operators with δ and δ′-potentials supported on hypersurfaces
Ann. Henri Poincaré. 14 (2013), 385–423. arXiv.

Vladimir Lotoreichik and Jonathan Rohleder
Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space
Oper. Theory Adv. Appl. 221 (2012), 471–486. arXiv.

Vladimir Lotoreichik
Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set
Opuscula Math. 31 (2011), 615–628. (Open Access).

Jussi Behrndt, Matthias Langer, Igor Lobanov, Vladimir Lotoreichik and Igor Yu. Popov
A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains
J. Math. Anal. Appl. 371 (2010), 750–758. arXiv.

Igor Lobanov, Vladimir Lotoreichik, and Igor Yu. Popov
Lower bound on the spectrum of the two-dimensional Schrödinger operator with a delta-perturbation on a curve
Theor. Math. Phys. 162 (2010), 332–340.

Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik,
Boundary triples for Schrödinger operators with singular interactions on hypersurfaces,
Nanosystems: Phys. Chem. Math. 7 (2016), 290–302.

Jussi Behrndt, Markus Holzmann, and Vladimir Lotoreichik
Convergence of 2D-Schrödinger operators with local scaled short-range interactions to a Hamiltonian with infinitely many delta-point interactions
Proc. Appl. Math. Mech. 14 (2014), 1005-1006. (Open Access).

Vladimir Lotoreichik
Note on 2D Schrödinger operators with δ-interactions on angles and crossing lines
Nanosystems: Phys. Chem. Math. 4 (2013), 1–7. arXiv. (Open Access).

Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Essential spectrum of Schrödinger operators with δ-interactions on the union of compact Lipschitz hypersurfaces
Proc. Appl. Math. Mech. (2013), 523–524. (Open Access).