Exceptional Polynomials and SUSY Quantum Mechanics

Details Exceptional Polynomials and SUSY Quantum Mechanics Exceptional Polynomials and SUSY Quantum Mechanics

2011-10-17

arxiv.org/abs/1110.3738v2

Physics

Mathematical Physics

9 pages

Scientific paper

We show that the existence of exceptional polynomials leads to the presence of non-trivial supersymmetry. The existence of these polynomials reveals several distinct isospectral potentials for the Schr\"odinger equation. All Schr\"odinger equations having Laguerre and Jacobi polynomials as their solutions, have non-trivial supersymmetric partners with corresponding exceptional polynomials as solutions.

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