dorsal/arxiv
View SchemaPhase Space Geometry in Classical and Quantum Mechanics
| Authors | John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112010 |
| URL | https://arxiv.org/abs/quant-ph/0112010 |
| DOI | 10.1142/9789812777560_0015 |
Abstract
Phase space is the state space of classical mechanics, and this manifold is normally endowed only with a symplectic form. The geometry of quantum mechanics is necessarily more complicated. Arguments will be given to show that augmenting the symplectic manifold of classical phase space with a Riemannian metric is sufficient for describing quantum mechanics. In particular, using such spaces, a fully satisfactory geometric version of quantization will be developed and described.
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"abstract": "Phase space is the state space of classical mechanics, and this manifold is\nnormally endowed only with a symplectic form. The geometry of quantum mechanics\nis necessarily more complicated. Arguments will be given to show that\naugmenting the symplectic manifold of classical phase space with a Riemannian\nmetric is sufficient for describing quantum mechanics. In particular, using\nsuch spaces, a fully satisfactory geometric version of quantization will be\ndeveloped and described.",
"arxiv_id": "quant-ph/0112010",
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"John R. Klauder"
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"doi": "10.1142/9789812777560_0015",
"title": "Phase Space Geometry in Classical and Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0112010"
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