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Phys. Rev. A 65, 032103 (2002) [5 pages]

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

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Adam J. Makowski*
Institute of Physics, Nicholas Copernicus University, ul. Grudzia̧dzka 5, 87-100 Toruń, Poland

Received 13 September 2001; published 30 January 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.032103
DOI:
10.1103/PhysRevA.65.032103
PACS:
03.65.Sq, 03.65.Ta

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