三维各向同性谐振子在两种不同坐标系下的解及其讨论  

Results and Relationship on the Three-Dimensional Isotropic Harmonic Oscillator in the Two Different Coordinate Systems

作　　者：付喜锦[1] 

机构地区：[1]陇东学院物理与电子工程学院,甘肃庆阳745000

出　　处：《甘肃联合大学学报（自然科学版）》2010年第1期42-46,共5页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：根据薛定谔方程,对三维各向同性谐振子在直角坐标和球面坐标下的解作了进一步讨论,得出其本征函数在两不同坐标系下的联系及对应关系.Based on the schrodinger function,the eigenfunctions and eigenvalue for three - dimensional isotropic harmonic oscillator were derived in Cartesian coordinate system and in Spherical coordinate system respectively,the relationship between the two eigenfunctions were obtained.

关 键 词：量子力学 三维各向同性谐振子 不同坐标 本征函数 

分 类 号：O413.1[理学—理论物理]