Dirac and Klein-Gordon oscillators on anti-de Sitter space
Département de TC de SNV, Université Hassiba Benbouali, Chlef, Algeria
2 Laboratoire (L.S.D.C), Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000, Oum El Bouaghi, Algeria
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Accepted: 4 April 2018
Published online: 7 May 2018
The Dirac and Klein-Gordon oscillators on anti-de Sitter space were considered in a space with deformed commutation relations. Anti-de Sitter commutation relations give rise to the appearance of minimal uncertainty in the momentum. Using the position space representation, we determine the energy eigenvalues and the eigenfunctions for both cases. The wave functions can be given in terms of Gegenbauer polynomials. The high-temperature thermodynamic properties of the relativistic harmonic oscillators are then analyzed.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018