摘要
In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applied to discuss average value of centrifugal potential energy and other physical quantities. The relevant results of the usual hydrogen atom are contained in more general conclusion of this paper as special cases.
In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applied to discuss average value of centrifugal potential energy and other physical quantities. The relevant results of the usual hydrogen atom are contained in more general conclusion of this paper as special cases.
出处
《原子与分子物理学报》
CAS
CSCD
北大核心
2002年第2期201-204,共4页
Journal of Atomic and Molecular Physics
基金
theNaturalScienceFoundationoftheEducationDepartmentofJingsuProvinceandtheProgramFoundationofYanchengTeachersCollege
关键词
量子力学
循环准则
氢原子
电离
Explicit expressions
Recurrence formulas
Radial average value
N-dimensional hydrogen atom