eBook ISBN:  9780821881798 
Product Code:  CONM/500.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821881798 
Product Code:  CONM/500.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 500; 2009; 186 ppMSC: Primary 81; 35; 82; 60; 47
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
ReadershipGraduate students and research mathematicians interested in mathematics and theoretical physics.

Table of Contents

Articles

Laurent Amour, Jérémy Faupin, Benoît Grébert and JeanClaude Guillot — On the infrared problem for the dressed nonrelativistic electron in a magnetic field [ MR 2655139 ]

O. Bourget and C. Fernández — Absence of singular spectrum for some timeperiodic magnetic systems [ MR 2655140 ]

Philippe Briet, Peter D. Hislop, Georgi Raikov and Eric Soccorsi — Mourre estimates for a 2D magnetic quantum Hamiltonian on striplike domains [ MR 2655141 ]

Vincent Bruneau, Abdallah Khochman and Georgi Raikov — Perturbation of a magnetic Schrödinger operator near an embedded infinitemultiplicity eigenvalue [ MR 2655142 ]

Rupert L. Frank — Remarks on eigenvalue estimates and semigroup domination [ MR 2655143 ]

François Germinet, Abel Klein and Benoit Mandy — Delocalization for random Landau Hamiltonians with unbounded random variables [ MR 2655144 ]

Christian Hainzl and Robert Seiringer — A linear criterion for solutions of nonlinear equations, with application to the BCS gap equation [ MR 2655145 ]

Bernard Helffer and Yuri A. Kordyukov — Semiclassical analysis of Schrödinger operators with magnetic wells [ MR 2655146 ]

Viorel Iftimie, Marius Măntoiu and Radu Purice — The magnetic formalism; new results [ MR 2655147 ]

Akira Iwatsuka, Takuya Mine and Shinichi Shimada — Norm resolvent convergence to Schrödinger operators with infinitesimally thin toroidal magnetic fields [ MR 2655148 ]

Frédéric Klopp — Lifshitz tails for alloy type random models in constant magnetic fields: a short review [ MR 2655149 ]

Serge Richard — New formulae for the AharonovBohm wave operators [ MR 2655150 ]

Grigori Rozenblum and Grigory Tashchiyan — On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field [ MR 2655151 ]


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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
Graduate students and research mathematicians interested in mathematics and theoretical physics.

Articles

Laurent Amour, Jérémy Faupin, Benoît Grébert and JeanClaude Guillot — On the infrared problem for the dressed nonrelativistic electron in a magnetic field [ MR 2655139 ]

O. Bourget and C. Fernández — Absence of singular spectrum for some timeperiodic magnetic systems [ MR 2655140 ]

Philippe Briet, Peter D. Hislop, Georgi Raikov and Eric Soccorsi — Mourre estimates for a 2D magnetic quantum Hamiltonian on striplike domains [ MR 2655141 ]

Vincent Bruneau, Abdallah Khochman and Georgi Raikov — Perturbation of a magnetic Schrödinger operator near an embedded infinitemultiplicity eigenvalue [ MR 2655142 ]

Rupert L. Frank — Remarks on eigenvalue estimates and semigroup domination [ MR 2655143 ]

François Germinet, Abel Klein and Benoit Mandy — Delocalization for random Landau Hamiltonians with unbounded random variables [ MR 2655144 ]

Christian Hainzl and Robert Seiringer — A linear criterion for solutions of nonlinear equations, with application to the BCS gap equation [ MR 2655145 ]

Bernard Helffer and Yuri A. Kordyukov — Semiclassical analysis of Schrödinger operators with magnetic wells [ MR 2655146 ]

Viorel Iftimie, Marius Măntoiu and Radu Purice — The magnetic formalism; new results [ MR 2655147 ]

Akira Iwatsuka, Takuya Mine and Shinichi Shimada — Norm resolvent convergence to Schrödinger operators with infinitesimally thin toroidal magnetic fields [ MR 2655148 ]

Frédéric Klopp — Lifshitz tails for alloy type random models in constant magnetic fields: a short review [ MR 2655149 ]

Serge Richard — New formulae for the AharonovBohm wave operators [ MR 2655150 ]

Grigori Rozenblum and Grigory Tashchiyan — On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field [ MR 2655151 ]