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Quantum resonance for a rotator in a nonlinear periodic field

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Literature Cited

  1. G. P. Berman and G. M. Zaslavsky, Physica (Utrecht),91A, 450 (1978); Dokl. Akad. Nauk SSSR,240, 1082 (1978).

    Google Scholar 

  2. G. P. Berman and G. M. Zaslavskii, Preprint IFSO-78F [in Russian], Krasnoyarsk (1978).

  3. É. V. Shuryak, Zh. Eksp. Teor. Fiz.,71, 2039 (1976).

    Google Scholar 

  4. G. P. Berman and G. M. Zaslavsky, Phys. Lett. A,61, 295 (1977).

    Google Scholar 

  5. V. V. Sokolov, Preprint IYaF SO AN SSSR, 78-50 [in Russian], Novosibirsk (1978).

  6. M. V. Kuz'min and V. N. Sazonov, Zh. Eksp. Teor. Fiz.,73, 422 (1977).

    Google Scholar 

  7. V. N. Sazonov and V. Yu. Finkel'shtein, Dokl. Akad. Nauk SSSR,231, 78 (1977).

    Google Scholar 

  8. N. L. Manakov, L. P. Rapoport, and A. G. Fainshtein, Teor. Mat. Fiz.,30, 395 (1977).

    Google Scholar 

  9. V. S. Letochov, E. A. Ryabov, and O. V. Tumanov, Opt. Commun.,5, 168 (1972).

    Google Scholar 

  10. N. R. Isenor, V. Merchant, et al., Can. J. Phys.,51, 1281 (1973).

    Google Scholar 

  11. R. V. Ambartsumyan, V. S. Dolzhnikov, V. S. Letokhov, et al., Zh. Eksp. Teor. Fiz.,69, 72 (1975).

    Google Scholar 

  12. F. M. Izrailev, Kasati, J. Ford, and B. V. Chirikov, Proc. Conf. on Stochastic Behavior in Classical and Quantum Hamiltonian Systems, Como, Italy (1977); Preprint 78-46 [in Russian], Institute of Nuclear Physics, Siberian Branch, USSR Academy of Sciences, Novosibirsk (1978).

  13. B. V. Chirikov, Interaction of Nonlinear Resonances [in Russian], State University, Novosibirsk (1978).

    Google Scholar 

  14. Ya. B. Zel'dovich, Zh. Eksp. Teor. Fiz.,51, 1492 (1966); Usp. Fiz. Nauk,110, 139 (1973).

    Google Scholar 

  15. V. I. Ritus, Zh. Eksp. Teor. Fiz.,51, 1544 (1966).

    Google Scholar 

  16. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR,98, 527 (1954).

    Google Scholar 

  17. V. I. Arnol'd, Usp. Mat. Nauk,18, 91 (1963).

    Google Scholar 

  18. J. Moser, Math. Rev.,20, 675 (1959).

    Google Scholar 

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Institute of Nuclear Physics, Siberian Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 43, No. 3, pp. 417–428, June, 1980.

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Izrailev, F.M., Shepelyanskii, D.L. Quantum resonance for a rotator in a nonlinear periodic field. Theor Math Phys 43, 553–561 (1980). https://doi.org/10.1007/BF01029131

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  • DOI: https://doi.org/10.1007/BF01029131

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