基于激发态的多参数等谱势族  

MULTIPARAMETER FAMILIES OF ISOSPECTRAL POTENTIALS BASED ON HIGHER EXCITED STATES

作　　者：陈华英[1] 龚仁山[1] 

机构地区：[1]南昌大学物理学系,江西南昌330047

出　　处：《南昌大学学报（理科版）》2002年第3期265-268,共4页Journal of Nanchang University(Natural Science)

摘　　要：超对称性量子力学中的超势可以利用激发态来生成 ,得到广义超对称形式。利用广义超对称形式 ,可构造出与已知势等能谱的单参数势族或双参数势族。显然 ,此方法可以进一步推广 ,从而得出与已知势等能谱的多参数势族。The formalism of the supersymmetric quantum mechanics is generalized to the cases where the superpotential is generated by higher excited eigenstates .It is shown that generalized supersymmetric formalism can be used to construct one-parameter families of potentials as well as two-parameter families of potentials isospectral to a given potential . Obviously, the method can be easily generalized to construct multiparameter families of isospectral potentials.

关 键 词：激发态 超对称性量子力学 伴侣势 单参数等谱势族 多参数等谱势族 广义超对称形式 

分 类 号：O413.1[理学—理论物理]