The second law of Thermodynamics as a theorem in quantum mechanics

dc.creatorTasaki, Hal
dc.date2000-11-20
dc.date2000-12-19
dc.date.accessioned2026-07-07T02:39:23Z
dc.date.available2026-07-07T02:39:23Z
dc.descriptionWe treat a quantum mechanical system with certain general properties which are expected to be common in macroscopic quantum systems. Starting from a PURE initial state (which may not describe an equilibrium) in which energy is mildly concentrated at a single value, we consider a time evolution determined by a time-dependent Hamiltonian as a model of an adiabatic operation in thermodynamics. We take a family of operations with the same procedure and various ``waiting times.'' Then the Minimum Work Principle is rigorously proved for almost all choices of the waiting time.
dc.description8 pages, LaTeX, new references added in the revised version
dc.identifierhttps://arxiv.org/abs/cond-mat/0011321
dc.identifierhttp://arxiv.org/abs/cond-mat/0011321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17040
dc.subjectStatistical Mechanics
dc.titleThe second law of Thermodynamics as a theorem in quantum mechanics
dc.typetext

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