幂函数叠加势的形状不变性  

The shape invariance of the superposed potential of the power functions

作　　者：傅美欢[1] 

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》2015年第9期7-9,30,共4页College Physics

摘　　要：用超对称量子力学方法,构造出具有形状不变性的两种幂函数叠加势的形式,并计算了它们的能量本征值.谐振子势、库仑势和Kratzer势等是幂函数叠加势的特例,它们的能级都可由幂函数叠加势的能级中得出.Using super-symmetric quantum mechanics arguments, the superposed potentials of the power functions of two kinds satisfying the property of shape invariance are found, and their energy eigenvalues are calculated. Harmonic oscillator, Coulomb and Kratzer potentials are the examples of the superposed potential of the power functions, their energy levels are obtained via the superposed potential of the power functions.

关 键 词：幂函数叠加势 超势 形状不变性 能级 

分 类 号：O413.1[理学—理论物理]