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Solvable potentials with exceptional orthogonal polynomials

Author:
Ashley Arsenault  Sheldon Opps  Nasser Saad  


Journal:
Annalen der Physik


Issue Date:
2016


Abstract(summary):

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.


Page:
321-334


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