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Classification of quadratic symmetry algebras of the Schrödinger equation

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

Noncommuntative quadratic symmetry algebras of a certain class for the Schrödinger equation are classified. For each such algebra, the permissible potential is found. The application of noncommuntative integration of partial differential equations by means of quadratic algebras is demonstrated for a nontrivial example. The solution obtained forms the basis for the representation of quadratic algebras.

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Authors and Affiliations

  1. Omsk State University, Russia

    V. V. Firstov & I. V. Shirokov

Authors
  1. V. V. Firstov
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  2. I. V. Shirokov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 11–17, August, 1995.

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Firstov, V.V., Shirokov, I.V. Classification of quadratic symmetry algebras of the Schrödinger equation. Russ Phys J 38, 772–777 (1995). https://doi.org/10.1007/BF00559275

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  • DOI: https://doi.org/10.1007/BF00559275

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