Cumulant expansions of operator groups of quantum many-particle systems
V.I. Gerasimenko, I.V. Gapyak
TL;DR
This paper introduces a cluster expansion method for operator groups in quantum many-particle systems to develop nonperturbative solutions for evolution equations.
Contribution
It proposes a novel cluster expansion approach for operator groups related to von Neumann and Heisenberg equations in quantum many-particle systems.
Findings
Provides a new framework for nonperturbative solutions
Constructs generating operators for hierarchies of evolution equations
Enhances understanding of quantum many-particle dynamics
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.
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