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??? Non-Markov theory of quantum fluctuations in the nonlinear dynamical systems with linear friction. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 2, pp. 131-145.
Non-Markov theory of quantum fluctuations in the nonlinear dynamical systems with linear friction
Properties of the operator Langevin forces in systems with linear friction are found with the help of fluctuation—dissipation theorems. The special attention is paid to greater singularity of these forces than in the quantum Markov theory. To avoid infinities, dynamic equations are represented in the integral form. Integral stochastic processes σk(t) with finite mean square related to the Langevin forces are introduced and applied. Such non-Gaussian characteristics as threefold and fourfold many-time cumulants are considered in the non-linear case and in the case of fluctuating friction coefficients.
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