论文标题
在动量表示中氢原子的波函数
Wave functions of the Hydrogen atom in the momentum representation
论文作者
论文摘要
我们构建了使用极球坐标的氢原子的动量表示的积分转换。所得的径向波函数是根据第一和第二类的Gegenbauer函数的复杂有限扩展或（基础）三角函数来明确给出的。我们以$ SO（4）$组显示了他们的对称性，以及它们与伦巴第和Oglivie的对称性。
We construct the integral transform passing from the space representation to the momentum representation for the Hydrogen atom using polar spherical coordinates. The resulting radial wave functions are explicitly given in terms of complex finite expansions of Gegenbauer functions of the first and second kind, or in terms of (elementary) trigonometric functions. We show their symmetry under the $SO(4)$ group, and their equivalence with those of Lombardi and Oglivie.
