Groups of Operators for Evolution Equations of Quantum Many-Particle Systems

Details Groups of Operators for Evolution Equations of Quantum Many-Particle Systems Groups of Operators for Evolution Equations of Quantum Many-Particle Systems

2008-04-07

arxiv.org/abs/0804.1153v2

Oper. Theory Adv. Appl. 191 (2009) 341-355

Physics

Quantum Physics

16 pages

Scientific paper

The aim of this work is to study the properties of groups of operators for evolution equations of quantum many-particle systems, namely, the von Neumann hierarchy for correlation operators, the BBGKY hierarchy for marginal density operators and the dual BBGKY hierarchy for marginal observables. We show that the concept of cumulants (semi-invariants) of groups of operators for the von Neumann equations forms the basis of the expansions for one-parametric families of operators for evolution equations of infinitely many particles.

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