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Solvable rational extensions of the isotonic oscillator

Author:
Grandati, Yves  


Journal:
ANNALS OF PHYSICS


Issue Date:
2011


Abstract(summary):

Combining recent results on rational solutions of the Riccati-Schrodinger equations for shape invariant potentials to the finite difference Backlund 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. (C) 2011 Elsevier Inc. All rights reserved.


Page:
2074---2090


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