Berry phases for 3D Hartree-type equations with a quadratic potential and a uniform magnetic field

DOI10.1088/1751-8113/40/36/013zbMath1128.81015arXivmath-ph/0610076OpenAlexW2030596333MaRDI QIDQ5308775

A. Yu. Trifonov, F. N. Litvinets, Alexander Shapovalov

Publication date: 8 October 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0610076

zbMATH Keywords

adiabatic approximationBerry phaseHannay angleHartree-type equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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