论文标题
Snyder-de保姆代数的D维klein-gordon振荡器的精确解决方案
Exact Solutions of D-dimensional Klein-Gordon Oscillator with Snyder-de Sitter Algebra
论文作者
论文摘要
我们通过在动量空间表示中分析求解Klein-Gordon振荡器在任意维度中的分析方法来研究Snyder-DE保姆换向关系对相对论玻色子的影响。确切的结合状态频谱和相应的动量空间波函数是在一个维度空间中使用的Gegenbauer多项式在D维度的情况下获得的。最后，我们研究了系统在高温方向上的热力学特性，在那里我们发现校正会增加自由能，但会减少不再恒定的能量，熵和比热。这项工作扩展了有关Snyder-de Sitter Case的Klein-Gordon振荡器的部分，该振荡器在J. Math的二维空间中研究。物理。 60，013505（2019）。
We study the effects of Snyder-de Sitter commutation relations on relativistic bosons by solving analytically in the momentum space representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and the corresponding momentum space wave functions are obtained using Gegenbauer polynomials in one dimension space and Jacobi polynomials in D dimensions case. Finally, we study the thermodynamic properties of the system in the high temperature regime where we found that the corrections increase the free energy but decrease the energy, the entropy and the specific heat which is no longer constant. This work extends the part concerning the Klein-Gordon oscillator for the Snyder-de Sitter case studied in two-dimensional space in J. Math. Phys. 60, 013505 (2019).
