Som-Raychaudhuri时空中广义克莱因-戈登场振荡器的解析解：基于扩展Nikiforov-Uvarov方法
Analytical Solutions of the Generalized Klein-Gordon Oscillator in Som-Raychaudhuri Space-Time via the Extended Nikiforov-Uvarov Method
AI总结：
本研究采用扩展Nikiforov-Uvarov方法，求解Som-Raychaudhuri时空中存在均匀磁场的广义克莱因-戈登场振荡器问题，针对两种势模型得到精确本征态解、能量本征值并分析图示本征函数。
AI中文摘要：
本研究提出一种基于扩展Nikiforov-Uvarov方法的解析方法，用于求解Som-Raychaudhuri时空中存在均匀磁场时的广义克莱因-戈登场振荡器问题。针对线性势和Cornell势两种不同的势模型，得到了精确的本征态解，确定了对应的能量本征值，并对相关本征函数进行了分析和图示。
英文摘要：
In this study, we present an analytical approach based on the extended Nikiforov-Uvarov method to solve the generalized Klein-Gordon oscillator in the presence of a uniform magnetic field within the Som-Raychaudhuri space-time. Exact eigenstate solutions are obtained for two distinct potential models, namely the linear potential and the Cornell potential. The corresponding energy eigenvalues are determined, and the associated eigenfunctions are analyzed and illustrated graphically.
