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Application of approximate symmetries to the construction of solutions of classical and quantum Hamiltonian systems

  • Elementary Particle Physics and Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

A method for integration of classical and quantum Hamiltonian systems, based on the use of approximate symmetries, is proposed in this paper. The proposed method is similar to the averaging method in classical mechanics; however, it does not use canonical transformations to the variables “action-angle.” This allows one in some cases to apply this method to quantum equations. A nontrivial example is analyzed in the paper.

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Authors and Affiliations

  1. V. V. Kuibyshev Tomsk State University, Russia

    A. V. Shapovalov & I. V. Shirokov

Authors
  1. A. V. Shapovalov
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  2. I. V. Shirokov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 114–117, August, 1993.

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Shapovalov, A.V., Shirokov, I.V. Application of approximate symmetries to the construction of solutions of classical and quantum Hamiltonian systems. Russ Phys J 36, 806–808 (1993). https://doi.org/10.1007/BF00562038

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  • DOI: https://doi.org/10.1007/BF00562038

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