开普勒径向方程的赝角动量解法及其归一化本征态和相干态  

Solution of radial equation of Kepler's problem by pseudo-angular-momentum method and normalization of eigenstate and coherent state

作　　者：李文博[1] 李克轩[1] 

机构地区：[1]北京交通大学物理系,北京100044

出　　处：《物理学报》2004年第9期2964-2969,共6页Acta Physica Sinica

摘　　要：用赝角动量方法直接求解球坐标下束缚态开普勒径向方程 .给出本征态的解析表达式 ,其中归一化问题比较特殊 ,需要格外细致 ;By using the pseudo angular momentum method, the radial equation for bound state of Kepler's problem is solved and the analytic expression for eigenstate is derived. The result shows that the normalization of eigenfunction that should be done carefully is quite peculiar. The corresponding coherent state is also discussed.

关 键 词：开普勒径向方程 赝角动量 本征值谱 本征函数 相干态 量子力学 

分 类 号：O431[机械工程—光学工程]