SUSY QM in a One-Dimensional Box and Local Observable Quantities  

作　　者：Salvatore De Vincenzo 

机构地区：[1]Escuela de Fisica, Facultad de Ciencias, Universidad Central de Venezuela, A.P. 47145, Caracas 1041-A, Venezuela

出　　处：《Chinese Physics Letters》2006年第8期1969-1972,共4页中国物理快报（英文版）

摘　　要：We investigate several Hamiltonians for a free particle in a one-dimensional box, in the context of supersymmetric quantum mechanics. Specifically, we study this problem with the Neumann boundary condition, the periodic and antiperiodic boundary condition, and some mixed and complex boundary conditions. This is achieved by using an approach recently proposed which expresses the factorization of the partner Hamiltonians in terms of the probability density and current for the ground-state eigenfunction of one of them.We investigate several Hamiltonians for a free particle in a one-dimensional box, in the context of supersymmetric quantum mechanics. Specifically, we study this problem with the Neumann boundary condition, the periodic and antiperiodic boundary condition, and some mixed and complex boundary conditions. This is achieved by using an approach recently proposed which expresses the factorization of the partner Hamiltonians in terms of the probability density and current for the ground-state eigenfunction of one of them.

关 键 词：SUPERSYMMETRIC QUANTUM-MECHANICS BOUNDARY-CONDITIONS ENERGY-SPECTRA SUPERPOTENTIALS FACTORIZATION POTENTIALS PARTICLE SYSTEMS 

分 类 号：O413[理学—理论物理]