Soviet Physics Journal

, Volume 25, Issue 5, pp 469–471 | Cite as

Classical limit of quantum mechanics and the quantum billiards problem

  • O. G. Mishnev


Two limiting cases follow from an algebraic formulation of quantum mechanics: Hamiltonian mechanics and quantum mechanics. The results can be used to formulate a quantum billiards problem and to study it at a qualitative level.


Quantum Mechanic Classical Limit Algebraic Formulation Qualitative Level Hamiltonian Mechanic 
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Literature cited

  1. 1.
    N. S. Krylov, Works on the Foundations of Statistical Physics [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1950).Google Scholar
  2. 2.
    C. Y. She and H. Heffner, Phys. Rev.,152, No. 4 (1966).Google Scholar
  3. 3.
    G. M. Zaslavskii, Usp. Fiz. Nauk,129, No. 2, (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • O. G. Mishnev
    • 1
    • 2
  1. 1.Scientific-Research Institute of Nuclear PhysicsUSSR
  2. 2.S. M. Kirov Tomsk Polytechnic InstituteUSSR

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