Cumulant expansions of operator groups of quantum many-particle systems
DOI:
https://doi.org/10.3842/umzh.v78i3-4.9375Keywords:
cluster expansion, cumulant expansion, semigroup of operators, hierarchy of evolution equations, quantum many-particle systemAbstract
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.
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