dorsal/arxiv
View SchemaPath Integral Quantization and Riemannian-Symplectic Manifolds
| Authors | Sergei V. Shabanov, John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805014 |
| URL | https://arxiv.org/abs/quant-ph/9805014 |
| DOI | 10.1016/S0370-2693(98)00798-9 |
| Journal | Phys.Lett. B435 (1998) 343-349 |
Abstract
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite and countably additive, the phase space manifold should be equipped with a Riemannian structure (metric). A suitable method to calculate the metric is also proposed.
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"abstract": "We develop a mathematically well-defined path integral formalism for general\nsymplectic manifolds. We argue that in order to make a path integral\nquantization covariant under general coordinate transformations on the phase\nspace and involve a genuine functional measure that is both finite and\ncountably additive, the phase space manifold should be equipped with a\nRiemannian structure (metric). A suitable method to calculate the metric is\nalso proposed.",
"arxiv_id": "quant-ph/9805014",
"authors": [
"Sergei V. Shabanov",
"John R. Klauder"
],
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"doi": "10.1016/S0370-2693(98)00798-9",
"journal_ref": "Phys.Lett. B435 (1998) 343-349",
"title": "Path Integral Quantization and Riemannian-Symplectic Manifolds",
"url": "https://arxiv.org/abs/quant-ph/9805014"
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