论文标题
Schrödinger方程的精确溶液在氢原子的（抗）de Sitter空间中
Exact Solution of Schrödinger Equation in (Anti-)de Sitter Spaces for Hydrogen Atom
论文作者
论文摘要
我们使用扩展的不确定性原理公式编写DE Sitter和Anti-DE保姆空间中的库仑电位的Schrödinger方程。我们使用Nikiforov-Uvarov方法来求解方程。两个系统的能量特征值以其确切形式给出，相应的径向波函数在相关的jacobi多项式中表示，而de安慰剂空间则以romanovski的多种方式给出了抗DE保健空间的函数。我们还研究了两种情况下空间变形参数对结合状态的影响。
We write Schrödinger equation for the Coulomb potential in both de Sitter and Anti-de Sitter spaces using the Extended Uncertainty Principle formulation. We use the Nikiforov-Uvarov method to solve the equations. The energy eigenvalues for both systems are given in their exact forms and the corresponding radial wave functions are expressed in associated Jacobi polynomials for de Sitter space, while those of Anti-de Sitter space are given in terms of Romanovski polynomials. We have also studied the effect of the spatial deformation parameter on the bound states in the two cases.
