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. Deep analogy between the classical Markov processes and development described by the Lindblad’s equation is conducted.

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. In an ideal conductor with electron transmission equal to unity (T = 1) the low-frequency shot noise is suppressed.G.B. The discussion about charge fluctuations is restored (dropped from the JETPL text due to limitation in space). The manuscript is a revised and corrected version of JETP Lett.,70, 208 (1999). We also discuss fluctuations of charge in an ideal conductor. We show that the shot noise at finite frequency in an ideally conducting contact is finite and the spectral density of the noise has a singularity at the ”Josephson ” frequency ω = eV/�, set by the voltage. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor. We present the most complete scattering theory for noise in noninteracting case.

G. b. lesovik