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

A. V. Shapovalov, I. V. Shirokov

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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.

Original languageEnglish
Pages (from-to)806-808
Number of pages3
JournalRussian Physics Journal
Issue number8
Publication statusPublished - Aug 1993
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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