Literature Cited
A. Einstein and M. Smoluchowski, Brownian Motion, a Collection of Articles [in Russian], ONTI, Moscow (1936), p. 205.
S. Chandrasekhar, “Stochastic problems in physics and astronomy,” Rev. Mod. Phys.,15, No. 1, 1 (1943).
M. C. Wang and G. E. Uhlenbeck, Rev. Mod. Phys.,17, No. 2-3, 323 (1945).
W. T. Coffey, Adv. Mol. Rel. Int. Proc.,17 169 (1980).
K. V. Gardiner, Stochastic Methods in the Natural Sciences [Russian translation], Mir, Moscow (1986).
H. Risken, the Fokker—Planck Equation, Methods of Solution and Applications (Springer Series in Synergetics, Vol. 18), Springer-Verlag, Heidelberg (1984).
T. W. Marshall, ZAMP,34, No. 2, 241 (1983).
M. Lax, Fluctuations and Coherent Phenomena [Russian translation], Mir, Moscow (1974), p. 74.
L. D. Landau and E. M. Lifshits, Theory of Fields (Sixth Edition) [in Russian] Nauka, Moscow (1973). p. 228.
D. N. zubarev, Nonequilibrium Statistical Thermodynamics [in Russian], Nauka, Moscow (1971), pp. 151, 167.
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover, New York (1965).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Elementary Functions [in Russian], Nauka, Moscow (1981), pp. 451, 658, 688.
M. I. Dykman and M. A. Krivoglaz, “Theory of nonlinear oscillator interacting with a medium,” in: Soviet Physics Reviews, edited by I. M. Khalatnikov, Harwood Academic Publishers, New York (1984), Vol. 5.
M. I. Dykman, S. M. Soskin, and M. A. Krivoglaz, IMF Preprint No. 484, Kiev (1984); M. I. Dykman, S. M. Soskin, and M. A. Krivoglaz, Physica,133A, No. 1, 53 (1985).
Additional information
Institute of Semiconductors, Academy of Sciences of the USSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 30, No. 5, pp. 599–608, May, 1987.
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Soskin, S.M. Distribution and spectrum of fluctuations of a Brownian particle in a potential well with reflecting walls. Radiophys Quantum Electron 30, 456–464 (1987). https://doi.org/10.1007/BF01035295
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DOI: https://doi.org/10.1007/BF01035295