Quasi-set-theoretical foundations of statistical mechanics: a research program

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dc.creatorSant'Anna, Adonai S.
dc.creatorSantos, Alexandre M. S.
dc.date1999-06-12
dc.date.accessioned2026-07-07T06:16:39Z
dc.date.available2026-07-07T06:16:39Z
dc.descriptionQuasi-set theory provides us a mathematical background for dealing with collections of indistinguishable elementary particles. In this paper, we show how to obtain the usual statistics (Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac) into the scope of quasi-set theory. We also show that, in order to derive Maxwell-Boltzmann statistics, it is not necessary to assume that the particles are distinguishable. In other words, Maxwell-Boltzmann statistics is possible even in an ensamble of indistinguishable particles, at least from the theoretical point of view. The main goal of this paper is to provide the mathematical grounds of a quasi-set-theoretical framework for statistical mechanics.
dc.descriptionLaTeX, 19 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9906038
dc.identifierhttp://arxiv.org/abs/quant-ph/9906038
dc.identifierFound.Phys. 30 (2000) 101-120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94126
dc.subjectQuantum Physics
dc.titleQuasi-set-theoretical foundations of statistical mechanics: a research program
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