Linear Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics

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dc.creatorOgura, Akihiro
dc.creatorSekiguchi, Motoo
dc.date2004-10-22
dc.date.accessioned2026-07-07T06:11:09Z
dc.date.available2026-07-07T06:11:09Z
dc.descriptionWe investigate two methods of constructing a solution of the Schrödinger equation from the canonical transformation in classical mechanics. One method shows that we can formulate the solution of the Schrödinger 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 Schrödinger equation.
dc.identifierhttps://arxiv.org/abs/quant-ph/0410173
dc.identifierhttp://arxiv.org/abs/quant-ph/0410173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92449
dc.subjectQuantum Physics
dc.titleLinear Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics
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