Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions

We study the dependence of the of microstates number (for free fermionsbosons) as a function of the volume-size in quantum statistics and fermions, and show then that fermions can not be accommodated in arbitrarily small volumes V. A minimum V = Vmin for that purpose is determined. Fermions can not...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos, Ferri, Gustavo L.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Física
Microstates’s Number Ω
Fermions
Bosons
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/119301
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-119301
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Microstates’s Number Ω
Fermions
Bosons
spellingShingle Física
Microstates’s Number Ω
Fermions
Bosons
Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo L.
Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions
topic_facet Física
Microstates’s Number Ω
Fermions
Bosons
description We study the dependence of the of microstates number (for free fermionsbosons) as a function of the volume-size in quantum statistics and fermions, and show then that fermions can not be accommodated in arbitrarily small volumes V. A minimum V = Vmin for that purpose is determined. Fermions can not exist for min V < V . This fact might have something to do with inflation. More precisely, in order to accommodate N fermions in a Slater determinant, we need a minimum radius, which is a consequence of the Pauli principle. This does not happen for bosons. As a consequence, extrapolating this statistical feature to a cosmological setting, we are able to “predict” a temperature-value for the final-stage of the inflationary period. This value agrees with current estimates.
format Articulo
Articulo
author Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo L.
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo L.
author_sort Plastino, Ángel Luis
title Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions
title_short Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions
title_full Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions
title_fullStr Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions
title_full_unstemmed Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions
title_sort pauli principle, inflation and simple statistical treatment of free-fermions
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/119301
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AT roccamariocarlos pauliprincipleinflationandsimplestatisticaltreatmentoffreefermions
AT ferrigustavol pauliprincipleinflationandsimplestatisticaltreatmentoffreefermions
bdutipo_str Repositorios
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