The Three-Dimensional Quantum Hamilton-Jacobi Equation and Microstates

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dc.creatorBouda, A.
dc.creatorMeziane, A. Mohamed
dc.date2007-01-22
dc.date.accessioned2026-07-07T07:42:27Z
dc.date.available2026-07-07T07:42:27Z
dc.descriptionIn a stationary case and for any potential, we solve the three-dimensional quantum Hamilton-Jacobi equation in terms of the solutions of the corresponding Schrodinger equation. Then, in the case of separated variables, by requiring that the conjugate momentum be invariant under any linear transformation of the solutions of the Schrodinger equation used in the reduced action, we clearly identify the integration constants successively in one, two and three dimensions. In each of these cases, we analytically establish that the quantum Hamilton-Jacobi equation describes microstates not detected by the Schrodinger equation in the real wave function case.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0701159
dc.identifierhttp://arxiv.org/abs/quant-ph/0701159
dc.identifierInt. J. Theo. Phys. 45 (2006) 1323
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122453
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleThe Three-Dimensional Quantum Hamilton-Jacobi Equation and Microstates
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