Path Integral Quantization for a Toroidal Phase Space

1999/02/01 by Bernhard G. Bodmann, John R. Klauder, Bodmann, Bernhard G. +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9902003

8 pages, LaTeX, no figs., for Proceedings of Bialowieza 98 Workshop

arxiv created 1999/02/01 · openalex publication_date 1999/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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