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

AbstractIn 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 th e 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 Ries z–Feller, the eigensolutions were also determined. The influence of the parameter\(\alpha \) on these functions has been tested.

Source: Physics of Particles and Nuclei Letters - April 1, 2023 Category: Physics Source Type: research