Progress of Theoretical Physics

Effective Action for Adiabatic Process: Dynamical Meaning of Berry and Simon's Phase

Hiroshi Kuratsuji, Shinji Iida

Published Sep 1, 1985• 157 citations

Abstract

By applying the path integral method to two interacting systems, it is shown that the specific phase Γ appearing in the quantum adiabatic process recently found by Berry and Simon is obtained as an additive action to the conventional dynamical action function. This scheme naturally gives a dynamical meaning to Berry and Simon’s topological phase, which leads to a novel form of semiclassical quantization rule including the phase Γ.

DOI: 10.1143/ptp.74.439

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