摘要
推导出了用于 N维各向同性谐振子径向平均值计算的二个递推关系 ,并在 - 3≤ s≤ 3的条件下 ,给出了平均值〈nr JN - 2 | r2 s| nr JN - 2 〉的值 .
Two recurrence formulas for radial average values of N dimensional isotropic harmonic oscillator are derived.Explicit expressions for <n rJ N-2 |r 2s |n rJ N-2 >are given for -3≤s≤3.These results can be applied to discuss average value of centrifugal potential energy and other physical quantities.The relevant results of 3 dimensional and 2 dimensional isotropic harmonic oscillators are contained in more general conclusion as special cases.
出处
《光子学报》
EI
CAS
CSCD
北大核心
2002年第6期650-653,共4页
Acta Photonica Sinica
基金
Supported by the natural science foundation of the Education Departmentof Jiangsu Province and the Program founda-tion of Yancheng Normal College
关键词
N维各向同性谐振子
径向平均值
递推关系
解析表达式
量子力学
N dimensional isotropic harmonic oscillator
Radial average values
Recurrence formulas
Explicit expressions
