Spectral and scattering theory for quantum magnetic systems, July 711, 2008, CIRM, Luminy, Marseilles, France

Contributor(s): Briet Philippe | Germinet Francois | Raikov GeorgiMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 500Publication details: Providence, R.I. : American Mathematical Society, 2009Description: 1 online resource (xii, 186 p.)ISBN: 9780821881798 (online)Subject(s): Mathematical physics | Quantum scattering | Quantum theoryOnline resources: Click here to access online
Contents:
On the infrared problem for the dressed nonrelativistic electron in a magnetic field ; Absence of singular spectrum for some timeperiodic magnetic systems ; Mourre estimates for a 2D magnetic quantum Hamiltonian on striplike domains ; Perturbation of a magnetic Schrodinger operator near an embedded infinitemultiplicity eigenvalue ; Remarks on eigenvalue estimates and semigroup domination ; Delocalization for random Landau Hamiltonians with unbounded random variables ; A linear criterion for solutions of nonlinear equations, with application to the BCS gap equation ; Semiclassical analysis of Schrodinger operators with magnetic wells ; The magnetic formalism ; new results ; Norm resolvent convergence to Schrodinger operators with infinitesimally thin toroidal magnetic fields ; Lifshitz tails for alloy type random models in constant magnetic fields: a short review ; New formulae for the AharonovBohm wave operators ; On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field Laurent Amour Jeremy Faupin Benoit Grebert and JeanClaude Guillot ; O Bourget and C Fernandez ; Philippe Briet Peter D Hislop Georgi Raikov and Eric Soccorsi ; Vincent Bruneau Abdallah Khochman and Georgi Raikov ; Rupert L Frank ; Francois Germinet Abel Klein and Benoit Mandy ; Christian Hainzl and Robert Seiringer ; Bernard Helffer and Yuri A Kordyukov ; Viorel Iftimie Marius Mantoiu and Radu Purice ; Akira Iwatsuka Takuya Mine and Shinichi Shimada ; Frederic Klopp ; Serge Richard ; Grigori Rozenblum and Grigory Tashchiyan
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Includes bibliographical references.

On the infrared problem for the dressed nonrelativistic electron in a magnetic field ; Absence of singular spectrum for some timeperiodic magnetic systems ; Mourre estimates for a 2D magnetic quantum Hamiltonian on striplike domains ; Perturbation of a magnetic Schrodinger operator near an embedded infinitemultiplicity eigenvalue ; Remarks on eigenvalue estimates and semigroup domination ; Delocalization for random Landau Hamiltonians with unbounded random variables ; A linear criterion for solutions of nonlinear equations, with application to the BCS gap equation ; Semiclassical analysis of Schrodinger operators with magnetic wells ; The magnetic formalism ; new results ; Norm resolvent convergence to Schrodinger operators with infinitesimally thin toroidal magnetic fields ; Lifshitz tails for alloy type random models in constant magnetic fields: a short review ; New formulae for the AharonovBohm wave operators ; On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field Laurent Amour Jeremy Faupin Benoit Grebert and JeanClaude Guillot ; O Bourget and C Fernandez ; Philippe Briet Peter D Hislop Georgi Raikov and Eric Soccorsi ; Vincent Bruneau Abdallah Khochman and Georgi Raikov ; Rupert L Frank ; Francois Germinet Abel Klein and Benoit Mandy ; Christian Hainzl and Robert Seiringer ; Bernard Helffer and Yuri A Kordyukov ; Viorel Iftimie Marius Mantoiu and Radu Purice ; Akira Iwatsuka Takuya Mine and Shinichi Shimada ; Frederic Klopp ; Serge Richard ; Grigori Rozenblum and Grigory Tashchiyan

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