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arXiv:quant-ph/0011038 · Physical Review A

Comment on “Foundations of quantum mechanics: Connection with stochastic processes”

Daniel Alonso, Juan Gonzalo Muga, R. Sala Mayato

Published Jun 8, 2001• 2 citations
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Abstract

Recently, Olavo has proposed several derivations of the Schr\"odinger equation from different sets of hypothesis [Phys. Rev. A 61, 052109 (2000)]. One of them is based on the infinitesimal inverse Weyl transform of a classically evolved phase-space density. We show, however, that the Schr\"odinger equation can only be obtained in that manner for linear or quadratic potential functions.

DOI
10.1103/physreva.64.016101

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Recently, Olavo has proposed several derivations of the Schr"odinger equation from different sets of hypothesis [Phys. Rev. A 61, 052109 (2000)]. One of them is based on the infinitesimal inverse Weyl transform of a classically evolved phase-space density. We show, however, that the Schr"odinger equation can only be obtained in that manner for linear or quadratic potential functions.