Solvable potentials with exceptional orthogonal polynomials

被引：2

作者：

Arsenault, Ashley ^{[1
]}

Opps, Sheldon ^{[1
]}

Saad, Nasser ^{[2
]}

机构：

[1] Univ Prince Edward Isl, Dept Phys, 550 Univ Ave, Charlottetown, PE C1A 4P3, Canada

[2] Univ Prince Edward Isl, Dept Math & Stat, 550 Univ Ave, Charlottetown, PE C1A 4P3, Canada

来源：

ANNALEN DER PHYSIK | 2016年 / 528卷 / 3-4期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Nonlinear oscillator; isotonic oscillator; exactly solvable models; supersymmetric quantum mechanics; exceptional orthogonal polynomials; weight functions; recurrence relations; CONSTRUCTION; SUSY;

D O I：

10.1002/andp.201500255

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Classes of solvable potentials are presented within an standard application of supersymmetric quantum mechanics. Sets of exceptional orthogonal polynomials generated by these solvable potentials are introduced and examined in detail. Several properties of these polynomials including orthogonality conditions, weight functions, differential equations, the Wronskains, possible recurrence relations are also investigated.

引用

页码：321 / 334

页数：14

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