12 citations · 12 across the 3 of their papers we have counts for
4 papers
Dynamics of correlations in a system of hard spheres
V. I. Gerasimenko, I. V. Gapyak
The possible ways to describe the states of a system of many hard spheres are considered, in particular by means of functions describing correlations of states. It is stated an app…
The Boltzmann-Grad asymptotic behavior of collisional dynamics: a brief survey
V. I. Gerasimenko, I. V. Gapyak
The article discusses some of the latest advances in the mathematical understanding of the nature of kinetic equations that describe the collective behavior of many-particle system…
On Operators Generated by Density Matrix
V. I. Gerasimenko
In this survey the possible approaches to the description of the evolution of states of quantum many-particle systems by means of the possible modifications of the density operator…
On the Initial-Value Problem to the Quantum Dual BBGKY Hierarchy
G. Borgioli, V. Gerasimenko
We develop a rigorous formalism for the description of the evolution of observables in quantum systems of particles. We construct a solution of the initial-value problem to the qua…