Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

Details Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

2011-05-18

arxiv.org/abs/1105.3670v3

Physics

Mathematical Physics

7 pages, no figures. Sect II considerably shortened, discussions on ground states added. Version to appear in J. Math. Phys

Scientific paper

We show how the recently discovered solvable rational extensions of Harmonic
Oscillator and Morse potentials can be constructed in a direct and systematic
way, without the need of supersymmetry, shape invariance, Darboux-Crum and
Darboux-B\"acklund transformations

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