Spectral and scattering theory for quantum magnetic systems, July 7-11, 2008, CIRM, Luminy, Marseilles, France / Philippe Briet, Francois Germinet, Georgi Raikov, editors.
- Title
- Spectral and scattering theory for quantum magnetic systems, July 7-11, 2008, CIRM, Luminy, Marseilles, France / Philippe Briet, Francois Germinet, Georgi Raikov, editors.
- Published by
- Providence, R.I. : American Mathematical Society, c2009.
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| Status | Format | Access | Call number | Item location |
|---|---|---|---|---|
| Status | FormatText | AccessRequest in advance | Call numberQC173.96 .S64 2009 | Item locationOff-site |
Details
- Additional authors
- Description
- xii, 186 p.; 26 cm.
- Summary
- "This volume contains the proceedings of the conference on Spectral and Scattering Theory for Quantum Magnetic Systems, which took place at CIRM, Luminy, France, in July 2008. The main purpose of this conference was to bring together a number of specialists in the mathematical modelling of magnetic phenomena in quantum mechanics, to mark the recent progress as well as to outline the future development in this area. This volume contains original results presented by some of the invited speakers and surveys on recent advances in the mathematical theory of quantum magnetic Hamiltonians. Most of the talks at the conference, as well as the articles in this volume, have been dedicated to one of the following topics: Spectral and scattering theory for magnetic Schrödinger operators ; Magnetic Pauli and Dirac operators ; Magnetic operators on manifolds ; Microlocal analysis of magnetic Hamiltonians ; Random Schrödinger operators and quantum Hall effect ; Ginsburg-Landau equation, supraconductivity, magnetic bottles ; Bose-Einstein condensate, Gross-Pitaevski equation ; Magnetic Lieb-Thirring inequalities, stability of matter."--Publisher's website.
- Series statement
- Contemporary mathematics ; v. 500
- Uniform title
- Contemporary mathematics (American Mathematical Society) v. 500.
- Subject
- Contents
- On the infrared problem for the dressed non-relativistic electron in a magnetic field / Laurent Amour, Jérémy Faupin, Benoît Grébert, and Jean-Claude Guillot -- Absence of singular spectrum for some time-periodic magnetic systems / O. Bourget and C. Fernández -- Mourre estimates for a 2D magnetic quantum Hamiltonian on strip-like domains / Philippe Briet, Peter D. Hislop, Georgi Raikov, and Eric Soccorsi -- Perturbation of a magnetic Schrödinger operator near an embedded infinite-multiplicity eigenvalue / Vincent Bruneau, Abdallah Khochman, and Georgi Raikov -- Remarks on eigenvalue estimates and semigroup domination / Rupert L. Frank -- Delocalization for random Landau Hamiltonians with unbounded random variables / François Germinet, Abel Klein, and Benoit Mandy -- A linear criterion for solutions of non-linear equations, with application to the BCS gap equation / Christian Hainzl and Robert Seiringer -- Semiclassical analysis of Schrödinger operators with magnetic wells / Bernard Helffer and Yuri A. Kordyukov -- The magnetic formalism; new results / Viorel Iftimie, Marius Măntoiu, and Radu Purice -- Norm resolvent convergence to Schrödinger operators with infinitesimally thin toroidal magnetic fields / Akira Iwatsuka, Takuya Mine, and Shin-ichi Shimada -- Lifshitz tails for alloy type random models in constant magnetic fields: a short review / Frédéric Klopp -- New formulae for the Aharonov-Bohm wave operators / Serge Richard -- On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field / Grigori Rozenblum and Grigory Tashchiyan.
- Owning institution
- Harvard Library
- Bibliography (note)
- Includes bibliographical references.
- Processing action (note)
- committed to retain