Quantum Adiabatic Approximation, Quantum Action, and Berry's Phase
arXiv:quant-ph/9606021 · doi:10.1016/S0375-9601(97)00391-5
Abstract
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.
uuencoded LaTeX file, 5 pages