Abstract

The Duffin-Kemmer-Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on thermodynamic functions is also discussed. We show that the energy spectrum and corresponding thermodynamic functions of the considered physical systems depend explicitly on the noncommutative parameterθwhich characterizes the noncommutativity of the space.

Highlights

  • The Duffin-Kemmer-Petiau (DKP) equation introduced by Kemmer et al [1,2,3] in the 1930s is a relativistic wave equation which describes spin 0 and spin 1 bosons in the description of the standard model

  • This paper was devoted to study of the thermodynamic properties of the DKP oscillator for spin 0 particle in noncommutative space

  • We investigated the thermodynamic properties of the system by employing the Euler-MacLaurin method and depicted our numerical results on the evaluation of the thermodynamic functions through the associated partition function Z

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Summary

Introduction

The Duffin-Kemmer-Petiau (DKP) equation introduced by Kemmer et al [1,2,3] in the 1930s is a relativistic wave equation which describes spin 0 and spin 1 bosons in the description of the standard model. Several situations researched in past years involving hadronic process and breaking of symmetries show that in some situations the DKP equation and KG equation can give some different results For these reasons, there has been a growing interest in studying the DKP equation [7,8,9,10,11,12,13]. The DKP equation in the presence of the Dirac oscillator interaction called DKP oscillator for spin zero and spin one particles has been investigated in the NC formalism in publications [26,27,28], with the purpose of obtaining the energy spectrum and studying the noncommutative effect on relativistic quantum mechanics.

The DKP Oscillator for Spin 0 Particle in NC Plane
Results and Discussions
Conclusions
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