基于激发态的等谱势的研究  

Study on Isospectral Potentials Based on Higher Excited States

作　　者：陈华英[1] 

机构地区：[1]南昌大学物理学系,江西南昌330047

出　　处：《江西教育学院学报》2005年第3期12-14,共3页Journal of Jiangxi Institute of Education

摘　　要：超对称性量子力学中的趋势可以利用激发态来生成,得到广义超对称形式。利用势垒贯穿的观点和方法,可以证明定域势上的解是独立的,即SUSY-m伴侣势是具有m+1个互相独立的定域势的集合。In this paper, the formalism of the supersymmetric quantum mechanics is generalized to the cases where the superpo-tential is generated by higher excited eigenstates. It is shown that SUSY - m partner potential is a local potential with m singularities. The paper demonstrates the solutions in various potential wells belonging to (m+1)local potentials divided by n singularities do not communicate.

关 键 词：超对称性量子力学 伴侣势 等谱势 定域势 

分 类 号：O413.1[理学—理论物理]