具有广义Kratzer势的三维薛定谔方程的精确解  

Exact solution of three-dimensional Schr?dinger equation for generalized Kratzer potential

作　　者：傅美欢[1] FU Mei-huan(Nanjing Institute of Industry Technology,Nanjing,Jiangsu 210046,China)

机构地区：[1]南京工业职业技术学院,江苏南京210046

出　　处：《大学物理》2018年第4期27-30,共4页College Physics

摘　　要：用超对称量子力学方法讨论了广义Kratzer势的形状不变性,并计算了它的能量本征值.传统的Kratzer势和改进的Kratzer势都是广义Kratzer势的特例.在此基础上,计算了双原子分子CO和NO在不同的径向量子数n_r和角量子数l时的能量本征值的具体数值.Using super-symmetric quantum mechanics arguments,the shape invariance of the generalized Kratzer potential is discussed,and its energy eigenvalues are calculated.Both the traditional Kratzer potential and the modified Kratzer potential are the special cases of the generalized Kratzer potential.On this basis,the exact eigenvalues of the diatomic molecules such as CO and NO for various values of radial quantum number n r and angular quantum number l are calculated numerically.

关 键 词：广义Kratzer势 双原子分子 超势 形状不变性 能量本征值 

分 类 号：O413.1[理学—理论物理]