The relativistic bound-state energy spectrum and the wave functions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein–Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.

中文翻译：

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扩展不确定性原理对相对论库仑势的影响

在扩展不确定性原理的背景下，研究了德西特和反德西特空间的相对论束缚态能谱和库仑势波函数。对 Klein-Gordon 和 Dirac 方程进行解析求解以获得结果。对类氢原子的电子能量进行了数值研究。