带电虫洞背景中的中性标量粒子
Neutral scalar particle in a charged wormhole background
- Instituto de Ciências Exatas, Universidade Federal Fluminense（弗鲁米嫩塞联邦大学精确科学学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究带电可穿越虫洞背景中中性标量粒子的动力学，通过求解Klein-Gordon方程得到束缚态能谱和量子化频率，发现能谱间接依赖虫洞电荷，并分析了各参数对频率的影响。
AI中文摘要：
我们研究了带电可穿越虫洞背景中中性标量粒子的动力学，考虑了谐振和修正谐振子耦合。通过求解Klein-Gordon方程，径向问题被简化为广义Heun方程，其多项式截断给出了束缚态能谱和量子化的谐振子频率。尽管粒子是电中性的，但能谱通过时空的几何形变间接依赖于虫洞电荷。我们还分析了谐振子频率对角动量、喉径参数、电荷以及额外相互作用参数$V_{0}$的依赖性。适当的极限恢复了无电荷虫洞和标准谐振子的相应结果。
英文摘要：
We investigate the dynamics of a neutral scalar particle in a charged traversable wormhole background, considering harmonic and modified harmonic oscillator couplings. By solving the Klein--Gordon equation, the radial problem is reduced to a generalized Heun equation, whose polynomial truncation yields the bound-state energy spectrum and quantized oscillator frequencies. Although the particle is electrically neutral, the energy spectrum depends indirectly on the wormhole charge through the geometric deformation of spacetime. We also analyze the dependence of the oscillator frequency on the angular momentum, throat parameter, electric charge, and the additional interaction parameter $V_{0}$. The appropriate limits recover the corresponding results for the uncharged wormhole and the standard harmonic oscillator.
