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arXiv:quant-ph/0004005 · Journal of Mathematical Physics

Classical and quantum mechanics with time-dependent parameters

Gennadi Aleksandrovich Sardanashvily

Published Aug 1, 2000• 28 citations
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Abstract

We show that composite bundles Q→Σ→R, where Σ→R is the parameter bundle, provide the adequate mathematical description of mechanical systems with time-dependent parameters both in classical and quantum mechanics. In particular, the Berry phase phenomenon is described in terms of connections on composite Hilbert space bundles.
DOI
10.1063/1.533405

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