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Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems. (English. Russian original) Zbl 1236.81143
Dokl. Math. 84, No. 1, 571-575 (2011); translation from Dokl. Akad. Nauk 439, No. 5, 600-604 (2011).
From the text: A similar method is applied to derive quantum versions of Bogolyubov-type equations. The Liouville equation is replaced by an equation with respect to functions of a real argument taking values in the space of cylindrical measures on the phase space, which is a generalization of the evolution equation for Wigner functions.

81S30 Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics
Full Text: DOI
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