Borgioli, G. and Gerasimenko, V. (2010) Initial-value problem of the quantum dual BBGKY hierarchy. Il nuovo cimento C, 33 (1). pp. 71-78. ISSN 1826-9885
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Abstract
We present a rigorous formalism to describe the evolution of observables of quantum many-particle systems. We construct a solution of the initial-value problem of the quantum dual BBGKY hierarchy of equations as an expansion over particle clusters, whose evolution is governed by the corresponding-order cumulant (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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Quantum statistical mechanics ; Quantum mechanics ; Kinetic theory |
| Subjects: | 500 Scienze naturali e Matematica > 510 Matematica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 31 Mar 2020 15:20 |
| Last Modified: | 31 Mar 2020 15:20 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/16795 |
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