New approach to derivation of quantum kinetic equations with initial correlations
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 1
Abstract
We propose a new approach to the derivation of kinetic equations from dynamics of large particle quantum systems, involving correlations of particle states at initial time. The developed approach is based on the description of the evolution within the framework of marginal observables in scaling limits. As a result the quantum Vlasov-type kinetic equation with initial correlations is constructed and the statement relating to the property of a propagation of initial correlations is proved in a mean field limit.
Authors and Affiliations
V. I. Gerasimenko
Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$
We introduce block-symmetric polynomials on $(L_\infty)^2$ and prove that every continuous block-symmetric polynomial of degree at most two on $(L_\infty)^2$ can be uniquely represented by some "elementary" block-symmetr...
Approximation of capacities with additive measures
For a space of non-additive regular measures on a~metric compactum with the~Prokhorov-style metric, it is shown that the~problem of approximation of arbitrary measure with an~additive measure on a~fixed finite subspace r...
On the multiplicative order of elements in Wiedemann's towers of finite fields
We consider recursive binary finite field extensions Ei+1=Ei(xi+1), i≥−1, defined by D. Wiedemann. The main object of the paper is to give some proper divisors of the Fermat numbers Ni that are not equal to the multiplic...
Wick calculus on spaces of regular generalized functions of Levy white noise analysis
Many objects of the Gaussian white noise analysis (spaces of test and generalized functions, stochastic integrals and derivatives, etc.) can be constructed and studied in terms of so-called chaotic decompositions, based...
Some fixed point results in complete generalized metric spaces
The Banach contraction principle is the important result, that has many applications. Some authors\- were interested in this principle in various metric spaces. Branciari A. initiated the notion of the generalized metric...