29 citations · 176 across the 25 of their papers we have counts for
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Introduction to the Theory of Evolution Equations of Quantum Many-Particle Systems
V. I. Gerasimenko
In the paper we review some recent results of the theory of hierarchies of quantum evolution equations.
Quantum Kinetic Equations of Many-Particle Systems in Condensed States
V. I. Gerasimenko, Zh. A. Tsvir
This paper is devoted to the description of the evolution of states of quantum many-particle systems within the framework of a one-particle density operator, which enables to const…
Evolution Equations in Functional Derivatives of Many-Particle Systems
Yu. Yu. Fedchun, V. I. Gerasimenko
The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for mar…
On Rigorous Derivation of the Enskog Kinetic Equation
I. V. Gapyak, V. I. Gerasimenko
We develop a rigorous formalism for the description of the kinetic evolution of infinitely many hard spheres. On the basis of the kinetic cluster expansions of cumulants of groups…
On Evolution Equations for Marginal Correlation Operators
V. I. Gerasimenko, D. O. Polishchuk
This paper is devoted to the problem of the description of nonequilibrium correlations in quantum many-particle systems. The nonlinear quantum BBGKY hierarchy for marginal correlat…