Cumulant expansions of operator groups of quantum many-particle systems

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 eq...

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Datum:2026
Hauptverfasser: Gapyak, I., Gerasimenko, V., Гап'як, Ігор, Герасименко, Віктор
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/9375
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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:10.3842/umzh.v78i3-4.9375