摘要
利用对能量本征函数的一个假设，得到了Ｖ（ｒ）＝ａ１ｒ６＋ａ２ｒ２＋ａ３ｒ－４＋ａ４ｒ－６的径向Ｓｃｈｒｏｃｉｎｇｅｒ方程的一个解析解，并对偶次送幕势１／ｒ２ｎ势和高次倍谐振子势ｒ２ｍ叠加势给出了它的径向Ｓｃｈｒｏｄｉｎｇｅｒ方程的一个解析解的通式．
Using an ansatz for the eigenfunction, we have obtained an analytic solution of the radial Schrodinger equation for V (r) = a1r5+ a2r2 + a3r- 4 + a4r - 5 potential, and also the general solution for the superposition potential with even order inverse -power 1/r2N and higher order doubly anharmonlc r2m potential.
出处
《青岛大学学报（自然科学版）》
CAS
1994年第2期30-39,共10页
Journal of Qingdao University(Natural Science Edition)
关键词
逆幂势
谐振子势
叠加
薛定谔方程
inverse-power potential
higher order doubly anharmonic potential
superposition potential
Schrodinger equation
analytic solution
