arXiv:2512.05036 · Ukrainian Mathematical Journal

Cumulant Expansions of the Operator Groups of Quantum Many-Particle Systems

Ihor Gapyak, Viktor Gerasimenko

Published Mar 28, 2026• 0 citations

Abstract

UDC 530.145:517.98 We present a method of cluster expansions for groups of operators associated with the von-Neumann equations for states and the Heisenberg equations for observables aimed at construction of generating operators for the solutions to the Cauchy problem for hierarchies of evolution equations of many-particle quantum systems.

DOI: 10.1007/s11253-026-02606-4

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