Path Integral Quantization for a Toroidal Phase Space
Quantum Physics
2007-05-23 v1
Abstract
A Wiener-regularized path integral is presented as an alternative way to formulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to the result is that this quantization prescription for the torus can be constructed as an induced representation from anti-Wick quantization on its covering space, the plane. When this construction is expressed in the form of a Wiener-regularized path integral, symmetrization prescriptions for the propagator emerge similar to earlier path-integral formulas on multiply-connected configuration spaces.
Cite
@article{arxiv.quant-ph/9902003,
title = {Path Integral Quantization for a Toroidal Phase Space},
author = {Bernhard G. Bodmann and John R. Klauder},
journal= {arXiv preprint arXiv:quant-ph/9902003},
year = {2007}
}
Comments
8 pages, LaTeX, no figs., for Proceedings of Bialowieza 98 Workshop