dorsal/arxiv
View SchemaPath Integral Quantization for a Toroidal Phase Space
| Authors | Bernhard G. Bodmann, John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902003 |
| URL | https://arxiv.org/abs/quant-ph/9902003 |
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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"abstract": "A Wiener-regularized path integral is presented as an alternative way to\nformulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to\nthe result is that this quantization prescription for the torus can be\nconstructed as an induced representation from anti-Wick quantization on its\ncovering space, the plane. When this construction is expressed in the form of a\nWiener-regularized path integral, symmetrization prescriptions for the\npropagator emerge similar to earlier path-integral formulas on\nmultiply-connected configuration spaces.",
"arxiv_id": "quant-ph/9902003",
"authors": [
"Bernhard G. Bodmann",
"John R. Klauder"
],
"categories": [
"quant-ph"
],
"title": "Path Integral Quantization for a Toroidal Phase Space",
"url": "https://arxiv.org/abs/quant-ph/9902003"
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