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Solvable potentials with exceptional orthogonal polynomials
Author(s) -
Arsenault Ashley,
Opps Sheldon,
Saad Nasser
Publication year - 2016
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201500255
Subject(s) - orthogonality , orthogonal polynomials , classical orthogonal polynomials , discrete orthogonal polynomials , mathematics , gegenbauer polynomials , kravchuk polynomials , hahn polynomials , wilson polynomials , recurrence relation , pure mathematics , physics , algebra over a field , mathematical physics , mathematical analysis , geometry
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.