Haouam Ilyas
Laboratoire de Physique Mathématique et de Physique Subatomique (LPMPS), Université Frères Mentouri, Constantine, 25000, Algeria.
Sci Rep. 2025 Aug 6;15(1):28771. doi: 10.1038/s41598-025-10118-7.
We investigate the thermal properties of the Klein-Gordon oscillator in a dynamical noncommutative space. These properties are determined via the partition function, which is derived using the Euler-Maclaurin formula. Analytical expressions for the partition function, free energy, internal energy, entropy, and specific heat capacity of the deformed system are obtained and numerically evaluated. The distinct roles of dynamical and flat noncommutative spaces in modulating these properties are rigorously examined and compared. Furthermore, visual representations are provided to illustrate the influence of the deformations on the system's thermal behavior. The findings highlight significant deviations in thermal behavior induced by noncommutativity, underscoring its profound physical implications.
我们研究了动态非对易空间中克莱因-戈登振荡器的热性质。这些性质通过配分函数来确定，而配分函数是利用欧拉-麦克劳林公式推导出来的。得到了变形系统的配分函数、自由能、内能、熵和比热容的解析表达式，并进行了数值评估。严格检验并比较了动态非对易空间和平坦非对易空间在调节这些性质方面的不同作用。此外，还提供了直观的表示来阐明变形对系统热行为的影响。研究结果突出了非对易性引起的热行为的显著偏差，强调了其深刻的物理意义。
