dorsal/arxiv
View SchemaCanonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics
| Authors | Jung-Hoon Kim, Hai-Woong Lee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904012 |
| URL | https://arxiv.org/abs/quant-ph/9904012 |
| DOI | 10.1139/cjp-77-6-411 |
| Journal | Can.J.Phys. 77 (1999) 411-425 |
Abstract
Canonical transformations using the idea of quantum generating functions are applied to construct a quantum Hamilton-Jacobi theory, based on the analogy with the classical case. An operator and a c-number forms of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems. The phase-space picture of quantum mechanics is discussed in connection with the present theory.
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"abstract": "Canonical transformations using the idea of quantum generating functions are\napplied to construct a quantum Hamilton-Jacobi theory, based on the analogy\nwith the classical case. An operator and a c-number forms of the time-dependent\nquantum Hamilton-Jacobi equation are derived and used to find dynamical\nsolutions of quantum problems. The phase-space picture of quantum mechanics is\ndiscussed in connection with the present theory.",
"arxiv_id": "quant-ph/9904012",
"authors": [
"Jung-Hoon Kim",
"Hai-Woong Lee"
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"doi": "10.1139/cjp-77-6-411",
"journal_ref": "Can.J.Phys. 77 (1999) 411-425",
"title": "Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9904012"
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