量子系统的能量本征值在超对称性、形状不变性框架下的计算

CALCULATION OF THE ENERGY EIGENVALUE OF A QUANTUM SYSTEM IN THE FRAMEWORK OF SUPERSYMMETRY AND SHAPE INVARIANCE

在超对称性、形状不变性框架下，计算了一维修正ＰｓｃｈｌＴｅｌｅｒ势、Ｎ维氢原子和Ｎ维各向同性谐振子的能量本征值．

Abstract We present the energy eigenvalues of modified Pschl Teller potential,the N dimensionalhydrogen atom,and the N dimensional harmonic oscillator.The calculations are carried out in the framework of supersymmetry and shape invariance.The present energy spectrum formulas are consistent with the exact solutions obtained with the usual factorization method.