Landau problem with a general time-dependent electric field

DOI10.1016/j.aop.2008.08.005zbMath1159.81437arXiv1207.6494OpenAlexW2134696553MaRDI QIDQ1009578

J. Chee

Publication date: 2 April 2009

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6494

zbMATH Keywords

Berry phasequantum adiabatic theoremfactorization of the time-evolution operatormagnetic translationnonadiabatic transitions

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items (6)

Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator ⋮ Line of magnetic monopoles and an extension of the Aharonov-Bohm effect ⋮ Landau problem with time dependent mass in time dependent electric and harmonic background fields ⋮ Avron-Herbst type formula in crossed constant magnetic and time-dependent electric fields ⋮ Landau electron in a rotating environment: a general factorization of time evolution ⋮ Class of invariants for the two-dimensional time-dependent Landau problem and harmonic oscillator in a magnetic field

Cites Work

• Adiabatic theorem without a gap condition
• The Landau electron problem on a cylinder.
• Berry phase in magnetic systems with point perturbations.
• Quantal phase factors accompanying adiabatic changes
• Magnetic translation groups in an n-dimensional torus and their representations
• Unnamed Item

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