Supersymmetric quantum mechanics with reflections

被引：33

作者：

Post, Sarah ^{[1
]}

Vinet, Luc ^{[1
]}

Zhedanov, Alexei ^{[2
]}

机构：

[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[2] Donetsk Inst Phys & Technol, UA-83114 Donetsk, Ukraine

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 43期

基金：

加拿大自然科学与工程研究理事会;

关键词：

INTEGRABLE SYSTEMS; OPERATORS; REPRESENTATION; ALGEBRA;

D O I：

10.1088/1751-8113/44/43/435301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Scarf I potential is presented and analyzed. Its eigenfunctions are given in terms of little -1 Jacobi polynomials which obey an eigenvalue equation of Dunkl type and arise as a q -> -1 limit of the little q-Jacobi polynomials. Intertwining operators connecting the wavefunctions of extended Scarf I potentials with different parameters are presented.

引用

页数：15

共 38 条

[1]

[Anonymous], 1990, ENCY MATH ITS APPL

[2]

[Anonymous], 1988, INTEGRALS SERIES

[3]

Baker TH, 2000, CRM SER MATH PHYS, P37

[4] Generalized Gegenbauer orthogonal polynomials [J].