三维常曲率极小长度空间中的氢原子本征值问题
Hydrogen atom as an eigenvalue problem in 3D spaces of constant curvature and minimal length
摘要：
A.F.史蒂文森[物理学修订版] 59，842（1941）]中关于三维超球面上的Kepler-Coulomb量子问题，从三维常曲率空间上的径向薛定谔方程的角度考虑。在Stevenson的基础上，我们详细地介绍了如何得到氢原子的超几何波函数。最后，对氢原子光谱的"空间曲率”效应和最小长度效应进行了比较
英文摘要：
An old result of A.F. Stevenson [Phys. Rev.} 59, 842 (1941)] concerning the Kepler-Coulomb quantum problem on the three-dimensional (3D) hypersphere is considered from the perspective of the radial Schrödinger equations on 3D spaces of any (either positive, zero or negative) constant curvature. Further to Stevenson, we show in detail how to get the hypergeometric wavefunction for the hydrogen atom case. Finally, we make a comparison between the ``space curvature" effects and minimal length effects for the hydrogen spectrum
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