HIGHER-ORDER SUSY, EXACTLY SOLVABLE POTENTIALS, AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS

Author:

Quesne, C.  

Journal:

MODERN PHYSICS LETTERS A

Issue Date:

2011

Abstract(summary):

Exactly solvable rationally-extended radial oscillator potentials, whose wave functions can be expressed in terms of Laguerre-type exceptional orthogonal polynomials, are constructed in the framework of kth-order supersymmetric quantum mechanics, with special emphasis on k = 2. It is shown that for mu = 1, 2, and 3, there exist exactly mu distinct potentials of mu th type and associated families of exceptional orthogonal polynomials, where mu denotes the degree of the polynomial g(mu) arising in the denominator of the potentials.

Page:

1843---1852