Theoretical and Mathematical Physics

, Volume 37, Issue 3, pp 1070–1081 | Cite as

WKB method for three-term recursion relations and quasienergies of an anharmonic oscillator

  • P. A. Braun
Article

Keywords

Recursion Relation Anharmonic Oscillator 

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Literature Cited

  1. 1.
    I. V. Komarov, L. I. Ponomarev, and S. Yu. Slavyanov, Spheroidal and Coulomb Spheroidal Functions [in Russian], Nauka (1976).Google Scholar
  2. 2.
    A. K. Kazanskii, V. N. Ostrovskii, and E. A. Solov'ev, Zh. Eksp. Teor. Fiz.,65, 583 (1973).Google Scholar
  3. 3.
    V. A. Kravchenko and A. S. Prostnev, Dokl. Akad. Nauk SSSR,211, 75 (1973).Google Scholar
  4. 4.
    V. P. Makarov and M. V. Fedorov, Zh. Eksp. Teor. Fiz.,70, 1185 (1976).Google Scholar
  5. 5.
    M. V. Fedorov, Zh. Eksp. Teor. Fiz.,73, 134 (1977).Google Scholar
  6. 6.
    A. I. Akhiezer, G. Ya. Lyubarskii, and A. É. Pargamannik, in: Theory and Design of Linear Accelerators [in Russian], Gosatomizdat (1962).Google Scholar
  7. 7.
    A. B. Vasil'eva, Trudy Seminara po Teorii Diff. Uravnenii s Otklonyayushchimsya Argumentom (Proc. Seminar on the Theory of Differential Equations with Deviating Argument),5, 21 (1967).Google Scholar
  8. 8.
    G. A. Tsyganov, Diff. Uravneniya,10, 1312 (1974).Google Scholar
  9. 9.
    V. P. Maslov, Operator Methods [in Russian], Nauka (1973).Google Scholar
  10. 10.
    K. Schulten and R. G. Gordon, J. Math. Phys.,16, 1970 (1975).Google Scholar
  11. 11.
    A. O. Gel'fond, Calculus of Finite Differences [in Russian], Nauka (1967).Google Scholar
  12. 12.
    I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York (1965).Google Scholar
  13. 13.
    G. Szegö, Orthogonal Polynomials, AMS, New York (1959).Google Scholar
  14. 14.
    V. N. Sazonov and V. Yu. Finkel'shtein, Dokl. Akad. Nauk SSSR,231, 78 (1976).Google Scholar
  15. 15.
    V. N. Sazonov, Teor. Mat. Fiz.,31, 107 (1977).Google Scholar
  16. 16.
    L. D. Landau and E. M. Lifshitz, Mechanics, Oxford (1960).Google Scholar
  17. 17.
    A. I. Baz', Ya. B. Zel'dovich, and A. M. Perelomov, Scattering, Reactions, and Decay in Nonrelativistic Quantum Mechanics, Jerusalem (1969).Google Scholar
  18. 18.
    N. L. Manakov, L. N. Rappoport, and A. G. Fainshtein, Teor. Mat. Fiz.,30, 395 (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • P. A. Braun

There are no affiliations available

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