Effect of a minimal length on the thermal properties of a Dirac oscillator

2015/11/30 by Abdelmalek Boumali, Lyazid Chetouani, Hassan Hassanabadi · 2 citations
Physics and Astronomy · #hep-th #quant-ph

paper · pdf · doi:10.5506/aphyspolb.47.2067

04 figures, any comments are welcome. arXiv admin note: substantial text overlap with arXiv:1501.07041

arxiv created 2015/12/12 · arxiv updated 2016/09/21

Abstract

The effect of the minimal length on the thermal properties of a Dirac oscillator is considered. The canonical partition function is well determined by using the method based on Zeta Epstein function. Through this function, all thermodynamics properties, such as the free energy, the total energy, the entropy, and the specific heat, have been determined. Moreover, this study allows us to calculate the values of minimal length \triangle x=ℏ√β for some fermionic particles.

Cited by

• Two-dimensional Klein-Gordon Oscillator in the presence of a minimal length
• Hyperstatistical thermodynamics of the one-dimensional Klein-Gordon and Dirac oscillators: a closed-form q-generalized Boltzmann factor and a quantitative comparison with Beck's superstatistics

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