Quantum Mechanics of Artificial Material Structures

Workshop scope

• Quantum graphs
• Leaky quantum structures
• Metamaterial models
• Quantum transport
• Homogenisation
• Spectral geometry

Participants and talks

• Naira Arrizabalaga (BCAM Bilbao): The eigenvalue problem for the generalized MIT bag model
• Ram Band (Technion - Israel Institute of Technology): The characteristic torus
• Diana Barseghyan (Ostrava University): Eigenvalue bounds for magnetic Schrödinger operators
• Gregory Berkolaiko (Texas A&M University): Global extrema of dispersion relation of tight-binding models
• Jens Bolte (Royal Holloway, University of London): Many particles on metric graphs: interactions and statistics
• Raffaele Carlone (Universita degli studi di Napoli): On the nonlinear Dirac equation on metric graphs
• Biagio Cassano (Universita di Bari): Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions
• Kirill Cherednichenko (University of Bath): Functional model for extensions of symmetric operators and applications to scattering theory
• Horia Cornean (Aalborg University): Parseval frames of exponentially localized magnetic Wannier functions
• Pavel Exner (Czech Technical University): Spectral optimization for singular Schrödinger operators
• Bernard Helffer (Université de Nantes): On Courant's nodal domain property for linear combinations of eigenfunctions
• Ilia Kamotski (University College London): A homogenisation theory for a general class of singular problems; asymptotics with error estimates
• Evgeni Korotyaev (Sankt Peterburg State University): Inverse problem for Schrodinger operators on periodic discrete and metric graphs
• Alexey Kostenko (Universität Wien): Quantum graphs on radially symmetric antitrees
• Hynek Kovařík (Universita degli studi di Brescia): Time decay of the wave functions for two-dimensional Pauli and magnetic Dirac operators
• Pavel Kurasov (Stockholm University): Inverse problems for quantum graphs
• Jiří Lipovský (Universita Hradec Kralové): Spectral asymptotics of the Laplacian on Platonic solids graphs
• Albert Mas (BCAM Bilbao): The MIT Bag Model as an infinite mass limit
• Davron Matrasulov (Turin Polytechnic University in Tashkent): Wave dynamics in transparent networks
• Sergei Nazarov (Institute for Problems in Mechanical Engineering RAN ): Threshold resonances and attendant diffraction anomalies in quantum and other waveguides
• Noema Nicolussi (Universität Wien): Self-adjoint extensions of infinite quantum graphs
• Diego Noja (Universit di Milano Bicocca): Nonlinear Schrödinger equation on metric graphs: old and new results
• Svetlana Pastukhova (Russian Technological University, Moscow): Operator norm resolvent approximations in homogenization of composites and similar structures
• Olaf Post (Universität Trier): Some old and new results about norm resolvent convergence
• Natalia Saburova (Northern Arctic Federal University): Spectral estimates for Schrödinger operators on periodic discrete graphs
• Uzy Smilansky (Weizmann Institute of Science): Systematics of spectral shifts in random matrix ensembles
• Valery Smyshlyaev (University College London): Schrödinger equation with a space-time linear potential on half-line: an unsolved canonical problem
• Edgardo Stockmeyer (Pontificia Universidad Católica de Chile): Magnetic Dirac operators on domains: Zig-zag boundary conditions
• Francoise Truc (Université de Grenoble): The essential spectrum of the discrete Laplacian on Klaus-sparse graphs

Talk schedule

Sirius Center contact

Workshop convener