At last, some prospects in the problem of quantum irreversibility are discussed. Besides, we draw attention to the fact that the Heisenberg’s uncertainty relation does not always mean the restriction is usually the product of the average values of commuting variables. In spite of previous opinion we conclude that in the equilibrium environment is not necessary to postulate the processes with collapses of wave functions. Quantum diffusion of a single particle is consid-ered and possible ways of the permission of the Schrödinger’s cat paradox and the role of an external world for the phenomena with quantum irreversibility are discussed. Here we consider quantum systems without inverse influ-ence on a surrounding background with high temperature. Using method of comparison of the Lind-blad’s equation with the linear Langevin equation we receive a system of differential equations, which are more general, than the Caldeira-Leggett equation.
Lesovik Recording zero-point current and voltage fluctuations 41 145149 (1998) G.B. Deep analogy between the classical Markov processes and development described by the Lindblad’s equation is conducted. Lesovik Theory of measurements and the collapse of the wave function 44 429431 (2001) G.B. Zemlyanov V.V., Tsovianov S.Y., Kirsanov N.S., Solovyov A.V., Lesovik G.B., Phase estimation based on four beam linear optical scheme // AIP Conference. By new method is received the Lindblad’s equation and its physical essence is explained. Further we pass to studying of the irreversibility phenomena in quantum problems. Using one thin inequality, the behavior of relative entropy in the classical case is considered. Some characteristics of the Markov chains are specified and the important property of monotonicity of a probability is formulated. Uncertainty Relation, Collapse of Wave Function, Effect of SokolovĪBSTRACT: Review of the irreversibility problem in modern physics with new researches is given. Markov Chains, Irreversibility in Classical and Quantum Mechanics, Lindblad Equation, Caldeira-Leggett Equation, Quantum Diffusion, Schrödinger’s Cat Paradox, Heisenberg’s 528, 2001.Įntropy and Irreversibility in Classical and Quantum Mechanics Lesovik, “Reservoir as source of quantum mechanical probability”, Letter in JETP, vol. Mazenko (World Scientific Press, Singapore, 1986), p. Imry, in Directions in Condensed Matter Physics, edited by G.
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