Large deviations for ideal quantum systems

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dc.creatorLebowitz, Joel L.
dc.creatorLenci, Marco
dc.creatorSpohn, Herbert
dc.date1999-06-16
dc.date.accessioned2026-07-07T04:32:51Z
dc.date.available2026-07-07T04:32:51Z
dc.descriptionWe consider a general d-dimensional quantum system of non-interacting particles, with suitable statistics, in a very large (formally infinite) container. We prove that, in equilibrium, the fluctuations in the density of particles in a subdomain of the container are described by a large deviation function related to the pressure of the system. That is, untypical densities occur with a probability exponentially small in the volume of the subdomain, with the coefficient in the exponent given by the appropriate thermodynamic potential. Furthermore, small fluctuations satisfy the central limit theorem.
dc.description28 pages, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/math-ph/9906014
dc.identifierhttp://arxiv.org/abs/math-ph/9906014
dc.identifierJ. Math. Phys. 41 (2000), no. 3, 1224-1243
dc.identifierdoi:10.1063/1.533185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58347
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subject82B10; 82B21; 60F10
dc.titleLarge deviations for ideal quantum systems
dc.typetext

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