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Paper detail

Solvable rational extensions of the isotonic oscillator

Combining recent results on rational solutions of the Riccati-Schrödinger equations for shape invariant potentials to the finite difference Bäcklund algorithm and specific symmetries of the isotonic potential, we show that it is possible to generate the three infinite sets (L1, L2 and L3 families) of regular rational solvable extensions of this potential in a very direct and transparent way.

preprint2011arXivOpen access
Yves Grandati
math-phmath.MPquant-ph
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Yves Grandati

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