Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature

The Dirac field, spin 1/2 particles, is investigated in phase space. The Dirac propagator is defined. The Thermo Field Dynamics (TFD) formalism is used to introduce finite temperature. The energy-momentum tensor is calculated at finite temperature. The Stefan-Boltzmann law is established, and the Ca...

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Main Authors: R. G. G. Amorim, S. C. Ulhoa, J. S. da Cruz Filho, A. F. Santos, F. C. Khanna
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2020/7032834
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author R. G. G. Amorim
S. C. Ulhoa
J. S. da Cruz Filho
A. F. Santos
F. C. Khanna
author_facet R. G. G. Amorim
S. C. Ulhoa
J. S. da Cruz Filho
A. F. Santos
F. C. Khanna
author_sort R. G. G. Amorim
collection DOAJ
description The Dirac field, spin 1/2 particles, is investigated in phase space. The Dirac propagator is defined. The Thermo Field Dynamics (TFD) formalism is used to introduce finite temperature. The energy-momentum tensor is calculated at finite temperature. The Stefan-Boltzmann law is established, and the Casimir effect is calculated for the Dirac field in phase space at zero and finite temperature. A comparative analysis with these results in standard quantum mechanics space is realized.
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institution Kabale University
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publishDate 2020-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-66a8ae71ad6d405cb201a421db24396d2025-02-03T01:27:57ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/70328347032834Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite TemperatureR. G. G. Amorim0S. C. Ulhoa1J. S. da Cruz Filho2A. F. Santos3F. C. Khanna4Faculdade Gama, Universidade de Brasília, 70910-900 Brasília, DF, BrazilInternational Center of Physics, Instituto de Física, Universidade de Brasília, 70910-900 Brasília, DF, BrazilSecretaria de Estado de Educação de Mato Grosso, 78049-909 Cuiabá, Mato Grosso, BrazilInstituto de Fsica, Universidade Federal de Mato Grosso, 78060-900 Cuiabá, Mato Grosso, BrazilDepartment of Physics and Astronomy, University of Victoria, BC, V8P 5C2, CanadaThe Dirac field, spin 1/2 particles, is investigated in phase space. The Dirac propagator is defined. The Thermo Field Dynamics (TFD) formalism is used to introduce finite temperature. The energy-momentum tensor is calculated at finite temperature. The Stefan-Boltzmann law is established, and the Casimir effect is calculated for the Dirac field in phase space at zero and finite temperature. A comparative analysis with these results in standard quantum mechanics space is realized.http://dx.doi.org/10.1155/2020/7032834
spellingShingle R. G. G. Amorim
S. C. Ulhoa
J. S. da Cruz Filho
A. F. Santos
F. C. Khanna
Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature
Advances in High Energy Physics
title Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature
title_full Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature
title_fullStr Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature
title_full_unstemmed Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature
title_short Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature
title_sort spin 1 2 particles in phase space casimir effect and stefan boltzmann law at finite temperature
url http://dx.doi.org/10.1155/2020/7032834
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