PATH-INTEGRAL SOLUTIONS FOR SHAPE-INVARIANT POTENTIALS USING POINT CANONICAL-TRANSFORMATIONS

被引：8

作者：

DE, R ^{[1
]}

DUTT, R ^{[1
]}

SUKHATME, U ^{[1
]}

机构：

[1] UNIV ILLINOIS, DEPT PHYS, CHICAGO, IL 60680 USA

来源：

PHYSICAL REVIEW A | 1992年 / 46卷 / 11期

关键词：

D O I：

10.1103/PhysRevA.46.6869

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Using a supersymmetric path-integral formulation, we give explicit point canonical transformations which map the kernels (or energy-dependent Green's function) of exactly known solvable shape-invariant potentials into those of two potential classes. Exact analytic expressions for the eigenvalues and eigenfunctions of these two classes of potentials are then retrieved following a standard procedure.

引用

页码：6869 / 6880

页数：12

共 26 条

[1]

ABRAMOWITZ M, 1972, HDB MATH F

[2] SHAPE INVARIANCE AND THE SWKB SERIES [J].