19 citations · 34 across the 3 of their papers we have counts for
3 papers
math-ph2012★ 1 cited
Mean Field Asymptotics of Generalized Quantum Kinetic Equation
V. I. Gerasimenko, Zh. A. Tsvir
We construct the mean field asymptotics of a solution of initial-value problem of the generalized quantum kinetic equation and a sequence of explicitly defined unctionals of a solu…
math-ph2011★ 14 cited
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…
math-ph2010★ 19 cited
Towards Rigorous Derivation of Quantum Kinetic Equations
V. I. Gerasimenko, Zh. A. Tsvir
We develop a rigorous formalism for the description of the evolution of states of quantum many-particle systems in terms of a one-particle density operator. For initial states whic…