In this work, we study the modified Klein–Gordon oscillator by replacing the momentum vector p→ → (p→ − iMΩf(r)r̂) in the Klein–Gordon equation under scalar and electromagnetic potentials in a rotating cosmic string space-time. The electromagnetic and scalar potentials are chosen to be proportional to the inverse of the axial distance (∝ 1 r). We solve the radial wave equation and obtain the energy eigenvalues and the corresponding wave function which depend on the global parameters of the space-time, and observe a gravitational analogue of the Aharonov–Bohm effect. We also see that the presence of electromagnetic and scalar potentials allows the formation of the bound-state solutions and the angular frequency of the oscillator depends on the quantum numbers of the system.

中文翻译：

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宇宙弦时空均匀旋转和电磁势对修正克莱因-戈登振子的影响

在这项工作中，我们通过替换动量向量来研究改进的 Klein-Gordon 振荡器p→ → (p→ - 一世米ΩF(r)r̂)在旋转宇宙弦时空中的标量和电磁势下的克莱因 - 戈登方程。选择电磁势和标量势与轴向距离的倒数成正比(∝ 1 r). 我们求解径向波动方程，得到依赖于时空全局参数的能量特征值和对应的波函数，并观察到阿哈罗诺夫-玻姆效应的引力模拟。我们还看到，电磁势和标量势的存在允许形成束缚态解，并且振荡器的角频率取决于系统的量子数。