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math-ph2025
Cumulant expansions of operator groups of quantum many-particle systems
V. I. Gerasimenko, I. V. Gapyak
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, aimin…
math-ph2025
Cluster expansions of particle system state with topological nearest-neighbor interaction
V. I. Gerasimenko, I. V. Gapyak
The article presents the concept of a cumulant representation for distribution functions describing the states of many-particle systems with topological nearest-neighbor interactio…