Path Integral Quantization for a Toroidal Phase Space

Bernhard G. Bodmann; John R. Klauder

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arXiv · quant-ph/9902003

Path Integral Quantization for a Toroidal Phase Space

Bernhard G. Bodmann·John R. Klauder

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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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Bernhard G. Bodmann, John R. Klauder. 1999-02-01. Path Integral Quantization for a Toroidal Phase Space. https://arxiv.org/abs/quant-ph/9902003

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