Quantum Theory of Irreversibility

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dc.creatorPerez-Madrid, A.
dc.date2005-10-17
dc.date.accessioned2026-07-07T07:51:34Z
dc.date.available2026-07-07T07:51:34Z
dc.descriptionA generalization of the Gibbs-von Neumann relative entropy is proposed based on the quantum BBGKY [Bogolyubov-Born-Green-Kirkwood-Yvon] hierarchy as the nonequilibrium entropy for an N-body system. By using a generalization of the Liouville-von Neumann equation describing the evolution of a density super- operator, it is demonstrated that the entropy production for an isolated system is non-negative, which provides an arrow of time. Moreover, following the procedure of non-equilibrium thermodynamics a master matrix is introduced for which a mi- croscopic expression is obtained. Then, the quantum Boltzmann equation is derived in terms of a transition superoperator related to that master matrix.
dc.identifierhttps://arxiv.org/abs/cond-mat/0510433
dc.identifierhttp://arxiv.org/abs/cond-mat/0510433
dc.identifierPhysica A 378 (2007) 299-306
dc.identifierdoi:10.1016/j.physa.2006.12.025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125560
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleQuantum Theory of Irreversibility
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