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Galilean covariance, Casimir effect and Stefan–Boltzmann law at finite temperature

S. C. Ulhoa

Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil

E-mail Address: sc.ulhoa@gmail.com

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A. F. Santos

Instituto de Física, Universidade Federal de Mato Grosso, 78060-900, Cuiabá, Mato Grosso, Brazil

E-mail Address: alesandroferreira@fisica.ufmt.br

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Faqir C. Khanna

Department of Physics and Astronomy, University of Victoria, 3800 Finnerty Road Victoria, BC, Canada

E-mail Address: khannaf@uvic.ca

Professor Emeritus — Also at: Physics Department, Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada.

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https://doi.org/10.1142/S0217751X17500944Cited by:3 (Source: Crossref)

Abstract

The Galilean covariance, formulated in 5-dimensions space, describes the nonrelativistic physics in a way similar to a Lorentz covariant quantum field theory being considered for relativistic physics. Using a nonrelativistic approach the Stefan–Boltzmann law and the Casimir effect at finite temperature for a particle with spin zero and 1/2 are calculated. The thermo field dynamics is used to include the finite temperature effects.

Keywords:

PACS: 11.10.Wx, 11.10.-z

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References

1. K. Morawetz, Phys. Rev. E 88, 022148 (2013), arXiv:1308.2479, doi:10.1103/PhysRevE.88.022148. Web of Science, ADS, Google Scholar
2. S. Moroz, C. Hoyos and L. Radzihovsky, Phys. Rev. B 91, 195409 (2015) [Addendum: ibid. 91, 199906 (2015), doi:10.1103/PhysRevB.91.199906], arXiv:1502.00667, doi:10.1103/PhysRevB.91.195409. Web of Science, ADS, Google Scholar
3. A. Schmitt, Lect. Notes Phys. 888, 1 (2015), arXiv:1404.1284, doi:10.1007/978-3-319-07947-9. Google Scholar
4. E. Inönü and E. P. Wigner, Nuovo Cimento 9, 705 (1952). Web of Science, Google Scholar
5. M. Le Bellac and J. M. Lévy-Leblond, Il Nuovo Cimento B 14, 217 (1973), doi:10.1007/BF02895715. ADS, Google Scholar
6. J.-M. Lévy-Leblond, Commun. Math. Phys. 6, 286 (1967), doi:10.1007/BF01646020. ADS, Google Scholar
7. Y. Takahashi, Fortschr. Phys. 36, 63 (1988). Web of Science, Google Scholar
8. Y. Takahashi, Fortschr. Phys. 36, 83 (1988), doi:10.1002/prop.2190360106. Web of Science, Google Scholar
9. M. Omote, S. Kamefuchi, Y. Takahashi and Y. Ohnuki, Fortschr. Phys. 37, 933 (1989), doi:10.1002/prop.2190371203. Web of Science, Google Scholar
10. A. E. Santana, F. C. Khanna and Y. Takahashi, Prog. Theor. Phys. 99, 327 (1998), doi:10.1143/PTP.99.327. Web of Science, ADS, Google Scholar
11. E. S. Santos, M. de Montigny, F. C. Khanna and A. E. Santana, J. Phys. A: Math. Gen. 37, 9771 (2004). ADS, Google Scholar
12. L. Abreu, M. de Montigny, F. Khanna and A. Santana, Ann. Phys. 308, 244 (2003), doi:10.1016/S0003-4916(03)00140-4. Web of Science, ADS, Google Scholar
13. M. de Montigny, F. C. Khanna and F. M. Saradzhev, Ann. Phys. 323, 1191 (2008), arXiv:0706.4106, doi:10.1016/j.aop.2007.08.002. Web of Science, ADS, Google Scholar
14. S. C. Ulhoa, F. C. Khanna and A. E. Santana, Int. J. Mod. Phys. A 24, 5287 (2009), arXiv:0902.2023, doi:10.1142/S0217751X09046333. Link, Web of Science, ADS, Google Scholar
15. R. R. Cuzinatto, P. J. Pompeia, M. de Montigny and F. C. Khanna, Phys. Lett. B 680, 98 (2009), arXiv:0910.4776, doi:10.1016/j.physletb.2009.08.024. Web of Science, ADS, Google Scholar
16. T. Matsubara, Prog. Theor. Phys. 14, 351 (1955), doi:10.1143/PTP.14.351. Web of Science, ADS, Google Scholar
17. J. S. Schwinger, J. Math. Phys. 2, 407 (1961), doi:10.1063/1.1703727. Web of Science, ADS, Google Scholar
18. C. Moller, P. T. Matthews, J. S. Schwinger, N. Fukuda and J. J. Sakurai (eds.), Proc., 3rd Brandeis University Summer Institute in Theoretical Physics, Brandeis University, Waltham, MA, 1960. Google Scholar
19. Y. Takahashi and H. Umezawa, Int. J. Mod. Phys. B 10, 1755 (1996), doi:10.1142/S0217979296000817. Link, Web of Science, ADS, Google Scholar
20. H. Umezawa, H. Matsumoto and M. Tachiki, Thermo Field Dynamics and Condensed States (North-Holland, Amsterdam, 1982). Google Scholar
21. H. Umezawa, Advanced Field Theory: Micro, Macro, and Thermal Physics (American Institute of Physics, New York, 1993). Google Scholar
22. F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson and A. E. Santana, Thermal Quantum Field Theory — Algebraic Aspects and Applications (World Scientific, Singapore, 2009). Link, Google Scholar
23. A. E. Santana, A. Neto, J. Vianna and F. Khanna, Phys. A 280, 405 (2000), doi:10.1016/S0378-4371(99)00606-8. Web of Science, ADS, Google Scholar
24. F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson and A. E. Santana, Ann. Phys. 324, 1931 (2009). Web of Science, ADS, Google Scholar
25. F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson and A. E. Santana, Ann. Phys. 326, 2634 (2011), arXiv:1107.5717, doi:10.1016/j.aop.2011.07.005. Web of Science, ADS, Google Scholar