Exact classical limit of quantum mechanics: Central potentials and specific states

Adam J. Makowski
Phys. Rev. A 65, 032103 – Published 30 January 2002
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Abstract

A derivation has been performed of some central potentials with no quantum correction to the Hamilton-Jacobi equation. In this exact limit of quantum mechanics, quantum trajectories identical to the classical ones are obtained. Interestingly, some of them are closed orbits. Applications of the found potentials in many areas of physics are also discussed.

  • Received 13 September 2001

DOI:https://doi.org/10.1103/PhysRevA.65.032103

©2002 American Physical Society

Authors & Affiliations

Adam J. Makowski*

  • Institute of Physics, Nicholas Copernicus University, ul. Grudzia̧dzka 5, 87-100 Toruń, Poland

  • *Email address:amak@phys.uni.torun.pl

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Vol. 65, Iss. 3 — March 2002

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