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  • Solvable potentials with exceptional orthogonal polynomials

    Ashley Arsenault   Sheldon Opps   Nasser Saad  

    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.
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