dorsal/arxiv
View SchemaLinear Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics
| Authors | Akihiro Ogura, Motoo Sekiguchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410173 |
| URL | https://arxiv.org/abs/quant-ph/0410173 |
Abstract
We investigate two methods of constructing a solution of the Schr\"{o}dinger equation from the canonical transformation in classical mechanics. One method shows that we can formulate the solution of the Schr\"{o}dinger equation from linear canonical transformations, the other focuses on the generating function which satisfies the Hamilton-Jacobi equation in classical mechanics. We also show that these two methods lead to the same solution of the Schr\"{o}dinger equation.
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"abstract": "We investigate two methods of constructing a solution of the Schr\\\"{o}dinger\nequation from the canonical transformation in classical mechanics. One method\nshows that we can formulate the solution of the Schr\\\"{o}dinger equation from\nlinear canonical transformations, the other focuses on the generating function\nwhich satisfies the Hamilton-Jacobi equation in classical mechanics. We also\nshow that these two methods lead to the same solution of the Schr\\\"{o}dinger\nequation.",
"arxiv_id": "quant-ph/0410173",
"authors": [
"Akihiro Ogura",
"Motoo Sekiguchi"
],
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"quant-ph"
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"title": "Linear Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0410173"
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