Literature Cited
G. P. Berman and G. M. Zaslavskii, Dokl. Akad. Nauk SSSR,240, 1081 (1978).
É. V. Shuryak, Zh. Eksp. Teor. Fiz.,71, 2039 (1976).
V. V. Sokolov, “Nonlinear resonance of a quantum oscillator,” Preprint 78-50 [in Russian], Institute of Nuclear Physics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1978).
F. M. Igrailev, G. Casati, G. Ford, and B. V. Chirikov, “Stochastic oscillations of a quantum pendulum under the influence of a periodic perturbation,” Preprint 78-46 [in Russian], Institute of Nuclear Physics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1978).
G. P. Berman and G. M. Zaslavskii, “Quantum mappings and the stochasticity problem in quantum systems,” Preprint 164F [in Russian], Institute of Physics, Siberian Branch of the USSR Academy of Sciences, Krasnoyarsk (1981).
S. A. Kheifets and V. V. Sokolov, “On the quantum corrections to the stochastic motion of nonlinear oscillator,” Preprint 80-133 [in English], Institute of Nuclear Physics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1980).
F. M. Igrailev, B. V. Chirikov, and D. L. Shepelyanskii, “Transient stochasticity in quantum mechanics,” Preprint 80-210 [in Russian], Institute of Nuclear Physics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1980).
D. L. Shepelyanskii, Dokl. Akad. Nauk SSSR,256, 586 (1981).
P. Carruthers and M. N. Nieto, Rev. Mod. Phys.,40, 411 (1968).
R. J. Glauber, Phys. Rev.,131, 2766 (1963).
B. V. Chirikov, Phys. Rep.,52, 256 (1979).
Additional information
Institute of Nuclear Physics, Siberian Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 61, No. 1, pp. 128–139, October, 1984.
Rights and permissions
About this article
Cite this article
Sokolov, V.V. On the nature of the quantum corrections in the case of stochastic motion of a nolinear oscillator. Theor Math Phys 61, 1041–1048 (1984). https://doi.org/10.1007/BF01038553
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01038553