Groups of Operators for Evolution Equations of Quantum Many-Particle Systems
Quantum Physics
2011-01-21 v2 Statistical Mechanics
Mathematical Physics
Analysis of PDEs
math.MP
Abstract
The aim of this work is to study the properties of groups of operators for evolution equations of quantum many-particle systems, namely, the von Neumann hierarchy for correlation operators, the BBGKY hierarchy for marginal density operators and the dual BBGKY hierarchy for marginal observables. We show that the concept of cumulants (semi-invariants) of groups of operators for the von Neumann equations forms the basis of the expansions for one-parametric families of operators for evolution equations of infinitely many particles.
Cite
@article{arxiv.0804.1153,
title = {Groups of Operators for Evolution Equations of Quantum Many-Particle Systems},
author = {V. I. Gerasimenko},
journal= {arXiv preprint arXiv:0804.1153},
year = {2011}
}
Comments
16 pages