29 citations · 176 across the 25 of their papers we have counts for
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From BBGKY Hierarchy to Non-Markovian Evolution Equations
V. I. Gerasimenko, V. O. Shtyk, A. G. Zagorodny
The problem of description of the evolution of the microscopic phase density and its generalizations is discussed. With this purpose, the sequence of marginal microscopic phase den…
On Evolution Equations of Quantum-Classical Systems
V. I. Gerasimenko
We consider the links between consistent and approximate descriptions of the quantum-classical systems, i.e. systems are composed of two interacting subsystems, one of which behave…
Hydrodynamic Equations for Microscopic Phase Densities
V. I. Gerasimenko, V. O. Shtyk, A. G. Zagorodny
The evolution equations for the generalized microscopic phase densities are introduced. The evolution equations of average values of microscopic phase densities are derived and a s…
Quantum Kinetic Equations and Evolution of Many-Particle Systems
V. I. Gerasimenko
In the paper we discuss possible approaches to the problem of the rigorous derivation of quantum kinetic equations from underlying many-particle dynamics. For the description of a…