K. V. S. Shiv Chaitanya, S. Sree Ranjani, Prasanta K. Panigrahi, R Radhakrishnan, V. Srinivasan
Published 2011-10-17, updated 2012-01-24Version 2
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.
SUSY Quantum Mechanics, (non)-Analyticity and $\ldots$ Phase Transitions
Accurate calculation of the eigenvalues of a new simple class of superpotentials in SUSY quantum mechanics
Lie Groups of Jacobi polynomials and Wigner d-matrices
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