Quantum Adiabatic Approximation, Quantum Action, and Berry's Phase
Quantum Physics
2009-10-30 v1
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.
Cite
@article{arxiv.quant-ph/9606021,
title = {Quantum Adiabatic Approximation, Quantum Action, and Berry's Phase},
author = {Ali Mostafazadeh},
journal= {arXiv preprint arXiv:quant-ph/9606021},
year = {2009}
}
Comments
uuencoded LaTeX file, 5 pages