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arxiv: quant-ph/9606021 · v1 · submitted 1996-06-19 · 🪐 quant-ph

Quantum Adiabatic Approximation, Quantum Action, and Berry's Phase

classification 🪐 quant-ph
keywords quantumadiabaticapproximationinterpretationactionalternativeberryphase
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An alternative interpretation of the quantum adiabatic approximation is presented. This interpretation is based on the ideas originally advocated by David Bohm in his quest for establishing a hidden variable alternative to quantum mechanics. It indicates that the validity of the quantum adiabatic approximation is a sufficient condition for the separability of the quantum action function in the time variable. The implications of this interpretation for Berry's adiabatic phase and its semi-classical limit are also discussed.

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