Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane

DOI10.1023/A:1010943228970zbMath0986.81031arXivmath-ph/0008031OpenAlexW3106422489MaRDI QIDQ5944702

Pavel Exner, Vladimir A. Geyler, Sergio A. Albeverio

Publication date: 17 June 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0008031

zbMATH Keywords

Berry phasebound-state eigenfunctioncharged quantum particleflux quanta

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Many-body theory; quantum Hall effect (81V70) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (5)

Aharonov-Bohm effect on the Poincaré disk ⋮ Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc. ⋮ Point perturbations in constant curvature spaces ⋮ Vladimir A. Geyler ⋮ Quantum state of pendulum under exponentially increasing gravitation

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