Entropy and Irreversibility in Classical and Quantum Mechanics

References

[1] M.B. Mensky, “Dissipation and decoherence of quantum systems”, UFN, vol. 173, P.1199, 2003.

[2] S. Karlin. “Mathematical Methods and Theory in Games, Programming, and Economics”, Dover Publications, 1992.

[3] Chzhun KayLay, “Uniform chains of the Markov”, Мoscow: Mir, 1964 (in Russian).

[4] M. S. Bartlett, “Introduction to theory of the probability processes”,Мoscow: Inostrannaya literatura, 1958 (in Russian).

[5] M. Klein, “Entropy and the Ehrenfest urn model”, Physica, vol. 22, no. 569, 1956.

[6] M. Loeve, “Probability theory”, Springer; 4th edition, 1977.

[7] A. Marshal, I. Olkin, “Inequality”, Academic Press, New York, 1979.

[8] S. Chandrasekhar, “Principles of stellar dynamics”, Dover, New York, 1942.

[9] B.B. Kadomcev, “Dynamics and information”, editing of the journal YFN, Мoscow, 1997; 1999 (in Russian).

[10] G.B. Lesovik, “Reservoir as source of quantum mechanical probability”, Letter in JETP, vol. 74, P. 528, 2001.

[11] G. Lindblad, “On the generators of quantum dynamical semi groups”, Commun. Math. Phys., vol. 48, P.119, 1976.

[12] R. Balesku, “Equilibrium and nonequilibrium statistical mechanics”, ohn Wiley & Sons, New York, 1975.

[13] E. M. Lifshic, L. P. Pitaevskiy, “Fizicheskaya kinetika” (Physical kinetics), Мoscow: Nauka, 1979 (in Russian).

[14] J.V. Pulé “The Bloch equations”, Commun. Math. Phys., vol. 38, № 3, P. 241-256, 1974.

[15] H. Bateman, A. Erdelyi, “Higher transcendental functions”, V. 3, MC GRAW-HILL OK COMPANY, NEW YORK, 1953.

[16] P. K. Suetin, “Classical orthogonal polynomials”, Мoscow: Nauka, 1979 (in Russian).

[17] A. O. Caldeira, A. J. Leggett, “Path integral approach to quantum Brownian motion” Physica A, vol. 121, P. 587, 1983.

[18] A. O. Caldeira, A. J. Leggett, “Influence of damping on quantum interference: an ex aptly soluble model”, Phys. Rev. A, vol. 31, P.1059, 1985.

[19] “Philosophical questions of modern physics”, M.: ADVO AN USSR, 1952 (in Russian).

[20] I. A. Akchurin, “Theory of the elementary particles and theory to information – Philosophical problems of physics of elementary particles”, Мoscow: Nauka, 1964 (in Russian).

[21] A.A. Grib, “The Bell’s Inequality and experimental check of quantum correlation on macroscopic distances” UFN, Vol. 142, P. 619, 1984.

[22] M.A. Popov, “In protection of the quantum idealism”, UFN, vol.173, P. 1382, 2003.

[23] I. Bialynicki-Birula, J. Mycielski, “Nonlinear wave mechanics”, Ann. Phys., New York, vol. 100, P. 62, 1976.

[24] C. G. Shull, D. K. Atwood, J. Arthur, M. Horne, “Search for a Nonlinear Variant of the Schr?dinger Equation by Neutron Interferometry”, Phys. Rev., Lett., vol. 44, P. 765, 1980.

[25] R.G?hler, A.Y., Klei, A. Zeilinger, “Neutron optical tests of nonlinear wave mechanics”, Phys. Rev., Ser. A, vol. 23, P.1611, 1981.

[26] B. P. Kondratyev, V. A. Antonov, “The solution of the Schr?dinger’s cat paradox. Attempt of development of nonlinear quantum mechanics”, Izhevsk, Udmurt State University, 1994 (in Russian).

[27] Y.A. Panovko, I.I. Gubanova, “Stability and oscillations of the springy systems”, Мoscow: Nauka, 1979 (in Russian).

[28] “Bases of the autocontrol”, under ed. V. S. Pugachev, Moscow: Fizmatgiz, 1963 (in Russian).

[29] S. E. Shnoll, V. A. Kolombet, E. V. Pozharskiy, T. A. Zinchenko, I. M. Zvereva, A. A. Konradov, “About realization of discrete conditions during fluctuations in macroscopical processes”, UFN, vol. 10, P. 1129, 1998.

[30] S.E. Shnoll, “Macroscopical fluctuations of the form discrete distributions cosmophysical reasons”, Biophysics, vol. 46, P. 775, 2001.

[31] B.B. Kadomcev, “Irreversible in quantum mechanics”, UFN, vol. 173, P. 1221, 2003.

[32] A.Y. Hinchin, “Mathematical basis statistical mechanics”, Мoscow: Gostehizdat, 947 (in Russian).

[33] L.P. Kadanoff, Baym G. “Quantum statistical mechanics”, Мoscow: Mir, 1964 (in Russian).

[34] I. D. Abella, N. A. Kurnit, S. R. Hartmann, ?Photon ehoes?, Phys. Rev., vol.141, P. 391, 1966.

[35] V.N. Pavlenko, “The eho phenomena in plasma”, UFN, № 3, vol.141, P. 393, 1983.

[36] M. Zaslavsky, “Statistics of the energy spectrum”, UFN, vol.129, P. 211, 1979.

[37] M Schroeder, “Fractals, chaos, power laws: minutes from an infinite”, paradise. New York: W.H. Freeman; 1991.

[38] K. N. Drabovich, “Captivated atomic particles in action”, UFN, №3, vol.158, P. 499 1989.

[39] Yu. L. Sokolov “Interference method of the measurement parameters atomic conditions”, UFN, № 5, vol. 169, P. 559, 1999.

[40] A.M. Mishin, “Problems of research of the Universe”, Iss. 23. Publishing house of St. Petersburg State University, 2001 (in Russian).

[41] I. M. Beterov, P.B. Lerner, “Spontaneous and forced radiation of Rudberg’s atom in resonator”, UFN, №4, vol. 159, P. 665, 1989.

[42] W. H. Itano, D. J. Heinzen, J. J. Bottlinger, D. J. Wineland, “Quantum Zeno effect”, Phys. Rev. Ser A., 41, P. 2295, 1990.

[43] B. Zhdanov, A.P. Chubenko, Materials of the seminar devoted to the 80 anniversary from the date of birth of M.I. Podgoretsky, Dubna, P. 32, 2000 (in Russian).

[44] L. M. Gindilis, “Model of the contact, rather then proof of the probe”, Earth and Universe, № 2, P. 78, 1976 (in Russian).