Abstract: This article shows that in spherical polar coordinates, the Hartmann potential has supersymmetry and shape invariance in the r dimension and in the θ dimension, and thus it obtains the energy eigenvalues and energy eigenfunctions of this potential.

Key words: Hartmann potential, supersymmetry, shape invariance, energy eigenvalue, energy eigenfunction

摘要： 证明了在球极坐标下，哈特曼势在维度r和维度θ都具有超对称性和形不变性，从而求得此势的能量本征值和能量本征函数。

关键词: 哈特曼势, 超对称性, 形不变性, 能量本征值, 能量本征函数