在点正则变换下D维谐振子势映射至N维氢原子势(英文)  

Mapping of an D-dimensional harmonic oscillator into an N-dimensional hydrogen atom under point canonical transformation

作　　者：杨进[1] 朱世德[1] 

机构地区：[1]成都信息工程学院光电技术系,四川成都610041

出　　处：《成都信息工程学院学报》2003年第1期76-78,共3页Journal of Chengdu University of Information Technology

摘　　要：利用在点正则变换下形状不变势的映射方法 。By use of the mapping of shape invariant potentials under the point canonical transformations the connections between the radial wave functions and energy levels of the N dimensional hydrogen atom and the D dimensional harmonic oscillator are given. It is shown that an N dimensional Schrdinger equation involving a particular central potential may be related to seemingly unrelated Schrdinger equations involving other central potentials and spaces of different dimensions.

关 键 词：D维谐振子势 N维氢原子势 点正则变换 形状不变势 映射方法 能级 径向波函数 

分 类 号：O413.1[理学—理论物理]