Cumulant expansions of operator groups of quantum many-particle systems
Mathematical Physics
2026-03-31 v1 Statistical Mechanics
Analysis of PDEs
math.MP
Abstract
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, aiming to construct generating operators for nonperturbative solutions to the Cauchy problem for hierarchies of evolution equations of many-particle quantum systems.
Keywords
Cite
@article{arxiv.2512.05036,
title = {Cumulant expansions of operator groups of quantum many-particle systems},
author = {V. I. Gerasimenko and I. V. Gapyak},
journal= {arXiv preprint arXiv:2512.05036},
year = {2026}
}
Comments
19 pages