基于激发态的哈密顿量等级系统  

Hierarchy of Hamiltonians 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（工科版）》2003年第1期33-38,共6页Journal of Nanchang University(Engineering & Technology)

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.因此,能够利用广义超对称形式,可构造出与已知哈密顿量等能谱的哈密顿量等级系统.再以线性谐振子为例说明.In this paper,the formalism of 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 a hierarchy of Hamiltonians isospectral to a given potential.Then the idea is illustrated using the example of one-dimensional harmonic oscillator.

关 键 词：激发态 哈密顿量等级系统 超对称性量子力学 伴侣势 线性谐振子 广义超对称形式 超势 

分 类 号：O413.1[理学—理论物理]