q-deformed superstatistics of the anharmonic oscillator for unrelativistic and relativistic (K–G equation) cases in noncommutative plane

Bing-Qian Wang, Zheng-Wen Long, Chao-Yun Long and Shu-Rui Wu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 517, issue C, 163-174

Abstract: In this article, we present the thermodynamical properties of the anharmonic oscillator for unrelativistic and relativistic K–G equations in the presence of an external magnetic field in noncommutative plane using q-deformed superstatistics. The explicit form of energy eigenvalues and the wave functions of the considered system are derived in terms of the bi-confluent Heun functions. Subsequently, by employing the effective Boltzmann factor, the thermodynamical properties of the anharmonic oscillator ensemble for both cases are obtained and, some graphs are plotted for the clarity of our results.

Keywords: q-deformed superstatistics; Schrödinger equation; K–G equation; Anharmonic oscillator; Noncommutative plane (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:517:y:2019:i:c:p:163-174

DOI: 10.1016/j.physa.2018.10.041

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