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Lie symmetries and superintegrability in quantum mechanics

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Abstract

Starting from the structure of the higher order Lie symmetries of the Schrödinger equation in the Euclidean plane E2, we establish, in the case of first-and second-order symmetries, the relations between separation of variables and superintegrable systems in quantum mechanics.

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Author information

Authors and Affiliations

  1. Feza Gürsey Institute, Istanbul, Turkey

    M. B. Sheftel

  2. Università di Lecce, Italy

    P. Tempesta

  3. Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada

    M. B. Sheftel, P. Tempesta & P. Winternitz

Authors
  1. M. B. Sheftel
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  2. P. Tempesta
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  3. P. Winternitz
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Additional information

From Yadernaya Fizika, Vol. 65, No. 6, 2002, pp. 1177–1182.

Original English Text Copyright © 2002 by Sheftel, Tempesta, Winternitz.

This article was submitted by the authors in English.

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Sheftel, M.B., Tempesta, P. & Winternitz, P. Lie symmetries and superintegrability in quantum mechanics. Phys. Atom. Nuclei 65, 1144–1148 (2002). https://doi.org/10.1134/1.1490124

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  • DOI: https://doi.org/10.1134/1.1490124

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