Wave mechanics in quantum phase space: hydrogen atom  

作　　者：LU Jun 

机构地区：[1]Department of Foundational Science, Beijing Union University, Beijing 100101, China [2]Department of Computational Science, National University of Singapore, Singapore 117543, Singapore

出　　处：《Progress in Natural Science:Materials International》2007年第2期144-149,共6页自然科学进展·国际材料（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 20273008) ; Excellent Talent Foundation of Beijing (Grant No. 20051D0502209)

摘　　要：The rigorous solutions of the stationary Schroedinger equation for hydrogen atom are solved with the wave-mechanics method within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The ＂Fourier-like＂ projection transformations of wave function from the phase space to position and momentum spaces are extended to three-dimensional systems. The eigenfunctions in general position and momentum spaces could be obtained through the transformations from eigenfunction in the phase space.为氢原子的静止 Schrodinger 方程的严密溶液在 Torres-Vega 和弗雷德里克建立的量阶段空间表示的框架以内与波浪力学方法被解决。到位置和动量空格的从阶段空格的波浪功能的象 Fourier 一样设计转变被扩大到三维的系统。在一般位置和动量空格的特徵函数能在阶段空间从特徵函数通过转变被获得。

关 键 词：quantum phase space hydrogen atom projection transformation. 

分 类 号：O413.1[理学—理论物理]