Gravity and Geometric Phases
General Relativity and Quantum Cosmology
2009-10-22 v1 High Energy Physics - Theory
Quantum Physics
Abstract
The behavior of a quantum test particle satisfying the Klein-Gordon equation in a certain class of 4 dimensional stationary space-times is examined. In a space-time of a spinning cosmic string, the wave function of a particle in a box is shown to acquire a geometric phase when the box is transported around a closed path surrounding the string. When interpreted as an Aharonov-Anandan geometric phase, the effect is shown to be related to the Aharonov-Bohm effect.
Cite
@article{arxiv.gr-qc/9412006,
title = {Gravity and Geometric Phases},
author = {A. Corichi and M. Pierri},
journal= {arXiv preprint arXiv:gr-qc/9412006},
year = {2009}
}
Comments
11 pages, latex file