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

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

1996-06-19

arxiv.org/abs/quant-ph/9606021v1

Phys.Lett. A232 (1997) 395-398

Physics

Quantum Physics

uuencoded LaTeX file, 5 pages

Scientific paper

10.1016/S0375-9601(97)00391-5

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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