Phase space path integral in curved space (Q2783570)
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scientific article; zbMATH DE number 1730569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Phase space path integral in curved space |
scientific article; zbMATH DE number 1730569 |
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17 October 2002
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path integrals
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Riemannian space
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Phase space path integral in curved space (English)
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A definition of the non-relativistic phase-space path integral in a Riemannian space is worked out. It is based on a natural skeletonization of the flat-space canonical functional action proposed earlier by one of the authors [\textit{R. Ferraro}, J. Phys. A 32, 2589-2599 (1999; Zbl 0938.81014)] treating canonical coordinates and momenta on an equal footing. The Schrödinger equation following from the proposed definitions coincides with one which has been put forward by DeWitt.
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