On the Thermal Properties of the One-Dimensional Space Fractional Duffin–Kemmer–Petiau Oscillator

In this paper, we investigate the fractional version of the Duffin–Kemmer–Petiau oscillator (DKP) in one dimension. By using a semi-classical approximation, the eigenvalues of the oscillator in question have been determined. The results obtained show a remarkable influence of the fraction parameter...

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Bibliographic Details
Published in:Physics of particles and nuclei letters 2023-04, Vol.20 (2), p.100-111
Main Authors: Abdelmalek Boumali, Nabil Korichi
Format: Article
Language:English
Subjects:
Eigenvalues
Energy spectra
Oscillators
Parameters
Particle and Nuclear Physics
Physics
Physics and Astronomy
Physics of Elementary Particles and Atomic Nuclei. Theory
Thermodynamic properties
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Summary:In this paper, we investigate the fractional version of the Duffin–Kemmer–Petiau oscillator (DKP) in one dimension. By using a semi-classical approximation, the eigenvalues of the oscillator in question have been determined. The results obtained show a remarkable influence of the fraction parameter on the energy spectrum of scalar and vector particles. With the help of the form of the spectrum of energy, we will have direct access to the numerical calculation of the thermodynamic quantities of our system concerned. These quantities were obtained on the basis of the Euler–Maclaurin formula. Additionally, on the basis of the fractional derivative of Riesz–Feller, the eigensolutions were also determined. The influence of the parameter on these functions has been tested.
ISSN:1547-4771
1531-8567
DOI:10.1134/S1547477123020127