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Solvable potentials with exceptional orthogonal polynomials |
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| Authors: | Ashley Arsenault Sheldon Opps Nasser Saad |
| Affiliation: | 1. Department of Physics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, Canada;2. Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, Canada |
| Abstract: | 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.  |
| Keywords: | Nonlinear oscillator isotonic oscillator exactly solvable models supersymmetric quantum mechanics exceptional orthogonal polynomials weight functions recurrence relations 2000 Mathematics Subject Classification: 33E30 81Q05 81Q60 |
