arXiv subjects

Zh. A. Tsvir

Publications and source records attributed to Zh. A. Tsvir.

3 recordsLinked to original sources

arXiv2012

Mean Field Asymptotics of Generalized Quantum Kinetic Equation

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 solution of stated kinetic equation. As a result the quantum Vlasov kinetic equation is rigorously derived. Moreover, in case of the presence of correlations of particles at initial time the mean field limit of a solution of the generalized quantum kinetic equation is constructed.

math-ph↗

arXiv2012

Quantum Kinetic Equations of Many-Particle Systems in Condensed States

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 construct the kinetic equations in scaling limits in the presence of correlations of particle states at initial time, for instance, correlations characterizing the condensed states.

math-ph↗

arXiv2010

Towards Rigorous Derivation of Quantum Kinetic Equations

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 which are specified in terms of a one-particle density operator the equivalence of the description of the evolution of quantum many-particle states by the Cauchy problem of the quantum BBGKY hierarchy and by the Cauchy problem of the generalized quantum kinetic equation together with a sequence of explicitly defined functionals of a solution of stated kinetic equation is established in the space of trace class operators. The links of the specific quantum kinetic equations with the generalized quantum kinetic equation are discussed.

math-ph↗