在s=3/2情形下利用超对称量子力学方法解广义椭球函数  

Solving the spheroidal wave equation with s=3/2 by super-symmetric quantum mechanic

作　　者：郭维奇[1] 田贵花[1] 董锟[1] 

机构地区：[1]北京邮电大学理学院,北京100876

出　　处：《物理学报》2012年第12期155-166,共12页Acta Physica Sinica

摘　　要：本文利用超对称量子力学的方法研究出广义椭球函数.首先,用超对称量子力学方法近似的算出前四阶超势W和相应本征值E,然后递推出W_n的通式,并利用数学归纳法来证明W_n通式的正确性,从而得到了此时的广义椭球函数方程的基态波函数,这对于它们的应用有很大的意义.In the paper, we use the method of super-symmetric quantum mechanics to study the spin-weighted spheroidal wave equation in the case of s - 3/2. We first change the equation into Schr6dinger＇s form, then calculate and derive the first four terms concerning E and super-potential W. we summarize the general formula of super-potential Wn and use mathematical induction to prove its correctness. In turn, this completely gives all the information about the ground eigenvalue and eigenfunction.

关 键 词：超势 基态波函数 超对称量子力学 广义椭球函数 

分 类 号：O413.1[理学—理论物理]