Geometric phases, symmetries of dynamical invariants and exact solution of the Schrödinger equation

DOI10.1088/0305-4470/34/32/312zbMath1002.81021arXivquant-ph/0101010OpenAlexW1972253633MaRDI QIDQ2766165

Ali Mostafazadeh

Publication date: 27 January 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0101010

zbMATH Keywords

Schrödinger equationgeometric phasesdynamical invariantsAharonov-Anandan nonadiabatic generalization of Berry's phasegeometrically equivalent quantum systems

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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