The relativistic quantum mechanics of the electron in an inhomogeneous magnetic field problem is solved exactly in terms of the momentum space path integral formalism. We adopt the space–time transformation methods, which are [Formula: see text]-point discretization dependent, to evaluate quantum corrections. The propagator is calculated, the energy eigenvalues and their associated curves are illustrated. The limit case is then deduced for a small parameter.

中文翻译：

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动量空间表示中非均匀磁场的电子传播子解

非均匀磁场中电子的相对论量子力学问题正是用动量空间路径积分形式来解决的。我们采用[公式：见文本]-点离散化相关的时空变换方法来评估量子校正。计算传播子，说明能量特征值及其相关曲线。然后推导出一个小参数的极限情况。