RATIONALLY-EXTENDED RADIAL OSCILLATORS AND LAGUERRE EXCEPTIONAL ORTHOGONAL POLYNOMIALS IN kTH-ORDER SUSYQM

被引：36
作者：
Quesne, C. [1 ]
机构：
[1] Univ Libre Bruxelles, B-1050 Brussels, Belgium
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2011年 / 26卷 / 32期
关键词：
Quantum mechanics; supersymmetry; orthogonal polynomials; SHAPE-INVARIANT POTENTIALS; X-L LAGUERRE; QUANTUM-MECHANICS; DARBOUX TRANSFORMATION; SUPERSYMMETRY;
D O I：
10.1142/S0217751X11054942
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
A previous study of exactly solvable rationally-extended radial oscillator potentials and corresponding Laguerre exceptional orthogonal polynomials carried out in second-order supersymmetric quantum mechanics is extended to kth-order one. The polynomial appearing in the potential denominator and its degree are determined. The first-order differential relations allowing one to obtain the associated exceptional orthogonal polynomials from those arising in a (k - 1)th-order analysis are established. Some non-trivial identities connecting products of Laguerre polynomials are derived from shape invariance.
引用
收藏
页码：5337 / 5347
页数：11
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