Soviet Physics Journal

, Volume 34, Issue 9, pp 755–761 | Cite as

Methods of generating integrable potentials for the Sochrödinger equation and nonlocal symmetries

  • V. G. Bagrov
  • A. V. Shapovalov
  • I. V. Shirokov
Elementary Particle Physics and Field Theory


Methods of generating exactly integrable potentials for the Schrödinger equation are consolidated within the framework of a simple construction. The Abraham-Moses method is generalized to the case of the nonstationary Schrödinger equation. An algorithm is proposed for solving the Schrödinger equation based on nonlocal symmetry operators.


Simple Construction Symmetry Operator Integrable Potential Nonlocal Symmetry 
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • V. G. Bagrov
    • 1
  • A. V. Shapovalov
    • 1
  • I. V. Shirokov
    • 1
  1. 1.V. V. Kuibyshev State UniversityTomsk

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