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| Product Code: | CONM/500.E |
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| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8179-8 |
| Product Code: | CONM/500.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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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.
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Table of Contents
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Articles
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Laurent Amour, Jérémy Faupin, Benoît Grébert and Jean-Claude Guillot — On the infrared problem for the dressed non-relativistic electron in a magnetic field [ MR 2655139 ]
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O. Bourget and C. Fernández — Absence of singular spectrum for some time-periodic magnetic systems [ MR 2655140 ]
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Philippe Briet, Peter D. Hislop, Georgi Raikov and Eric Soccorsi — Mourre estimates for a 2D magnetic quantum Hamiltonian on strip-like domains [ MR 2655141 ]
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Vincent Bruneau, Abdallah Khochman and Georgi Raikov — Perturbation of a magnetic Schrödinger operator near an embedded infinite-multiplicity eigenvalue [ MR 2655142 ]
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Rupert L. Frank — Remarks on eigenvalue estimates and semigroup domination [ MR 2655143 ]
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François Germinet, Abel Klein and Benoit Mandy — Delocalization for random Landau Hamiltonians with unbounded random variables [ MR 2655144 ]
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Christian Hainzl and Robert Seiringer — A linear criterion for solutions of non-linear equations, with application to the BCS gap equation [ MR 2655145 ]
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Bernard Helffer and Yuri A. Kordyukov — Semiclassical analysis of Schrödinger operators with magnetic wells [ MR 2655146 ]
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Viorel Iftimie, Marius Măntoiu and Radu Purice — The magnetic formalism; new results [ MR 2655147 ]
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Akira Iwatsuka, Takuya Mine and Shin-ichi Shimada — Norm resolvent convergence to Schrödinger operators with infinitesimally thin toroidal magnetic fields [ MR 2655148 ]
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Frédéric Klopp — Lifshitz tails for alloy type random models in constant magnetic fields: a short review [ MR 2655149 ]
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Serge Richard — New formulae for the Aharonov-Bohm wave operators [ MR 2655150 ]
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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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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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 Jean-Claude Guillot — On the infrared problem for the dressed non-relativistic electron in a magnetic field [ MR 2655139 ]
-
O. Bourget and C. Fernández — Absence of singular spectrum for some time-periodic magnetic systems [ MR 2655140 ]
-
Philippe Briet, Peter D. Hislop, Georgi Raikov and Eric Soccorsi — Mourre estimates for a 2D magnetic quantum Hamiltonian on strip-like domains [ MR 2655141 ]
-
Vincent Bruneau, Abdallah Khochman and Georgi Raikov — Perturbation of a magnetic Schrödinger operator near an embedded infinite-multiplicity 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 non-linear 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 Shin-ichi 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 Aharonov-Bohm 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 ]
