Resonance free regions in magnetic scattering by two solenoidal fields at large separation

DOI10.1016/j.jfa.2010.12.005zbMath1211.81093OpenAlexW2030465489MaRDI QIDQ630790

Hideo Tamura, Ivana Alexandrova

Publication date: 21 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.12.005

zbMATH Keywords

resonancesAharonov-Bohm effectsolenoidal fieldsmagnetic scattering

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Resonance in context of PDEs (35B34)

Related Items (5)

The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field ⋮ Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications ⋮ Resonances in scattering by two magnetic fields at large separation and a complex scaling method ⋮ Diffraction of the Aharonov-Bohm Hamiltonian ⋮ The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials

Cites Work

• Unnamed Item
• Unnamed Item
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• Width of shape resonances for non globally analytic potentials
• The Aharonov-Bohm effect and scattering theory
• Lower bounds for resonance widths in potential and obstacle scattering
• The shape resonance
• On the Aharonov-Bohm Hamiltonian
• Introduction to spectral theory. With applications to Schrödinger operators
• Topological effects in quantum mechanics
• Erratum to: ``Resonance free domains for non globally analytic potentials
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Lower bounds for shape resonances widths of long range Schrodinger operators
• Significance of Electromagnetic Potentials in the Quantum Theory
• Résonances en limite semi-classique
• Complex Scaling and the Distribution of Scattering Poles
• Barrier Resonances in Strong Magnetic Fields
• Aharonov–Bohm effect with δ-type interaction
• Aharonov-Bohm effect in scattering by point-like magnetic fields at large separation

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