In this paper, we focus on the half-spin relativistic particle in the presence of a uniform magnetic field in a Gödel-type space–time with potential. Based on the functional analysis method, the allowed energies and wave equation of the system are derived. Moreover, in order to illustrate the influence of vorticity parameter on the considered system, we plot some figures for the clarity of our results.

中文翻译：

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哥德尔型时空均匀磁场下半自旋相对论粒子的研究

在本文中，我们专注于在具有势的哥德尔型时空中存在均匀磁场的半自旋相对论粒子。基于泛函分析方法，推导了系统的允许能量和波动方程。此外，为了说明涡度参数对所考虑系统的影响，我们绘制了一些数字以使我们的结果更加清晰。