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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Wiley
2020-01-01
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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. |
format | Article |
id | doaj-art-66a8ae71ad6d405cb201a421db24396d |
institution | Kabale University |
issn | 1687-7357 1687-7365 |
language | English |
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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