Classification theorem for principal fibre bundles, Berry's phase, and exact cyclic evolution

DOI10.1016/0393-0440(93)90085-SzbMath0780.55010MaRDI QIDQ1308688

Gerd Rudolph, Luis J. Boya, Ali Mostafazadeh, Arno R. Bohm

Publication date: 15 December 1993

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

geometric phaseadiabatic evolutionprojective Hilbert spacefibre bundle over parameter spacenon-adiabatic cyclic evolution

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Fiber bundles in algebraic topology (55R10)

Related Items

Geometric phase, bundle classification, and group representation, Naturalness of the space of states in quantum mechanics, THE BERRY PHASE AND MONOPOLES IN NON-ABELIAN GAUGE THEORIES, Geometry of quantum active subspaces and of effective Hamiltonians, Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity

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