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arXiv · 0806.1027

On the Initial-Value Problem to the Quantum Dual BBGKY Hierarchy

G. Borgioli·V. Gerasimenko
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Abstract

We develop a rigorous formalism for the description of the evolution of observables in quantum systems of particles. We construct a solution of the initial-value problem to the quantum dual BBGKY hierarchy of equations as an expansion over particle clusters whose evolution are governed by the corresponding-order dual cumulant (dual semi-invariant) of the evolution operators of finitely many particles. For initial data from the space of sequences of bounded operators the existence and uniqueness theorem is proved.

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G. Borgioli, V. Gerasimenko. 2008-06-05. On the Initial-Value Problem to the Quantum Dual BBGKY Hierarchy. https://doi.org/10.1393/ncc%2Fi2010-10564-6

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