3 citations · 3 across the 3 of their papers we have counts for
4 papers
Cumulant expansions of operator groups of quantum many-particle systems
V. I. Gerasimenko, I. V. Gapyak
The article presents a method of cluster expansions for groups of operators associated with the von Neumann equations for states and the Heisenberg equations for observables, aimin…
Advances in theory of evolution equations of many colliding particles
V. I. Gerasimenko, I. V. Gapyak
The review presents rigorous results of the theory of fundamental equations of evolution of many-particle systems with collisions and also considers their connection with nonlinear…
Non-perturbative solutions of hierarchies of evolution equations for colliding particles
V. I. Gerasimenko, I. V. Gapyak
The article deals with the challenge of the construction of solutions to hierarchies of fundamental evolution equations for many colliding particles. The method of cluster expansio…
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…