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arxiv: 1105.3670 · v3 · pith:CKSIWTXQnew · submitted 2011-05-18 · 🧮 math-ph · math.MP· math.SP· nlin.SI· quant-ph

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

classification 🧮 math-ph math.MPmath.SPnlin.SIquant-ph
keywords extensionsharmonicmorseoscillatorpotentialsrationalsolvableacklund
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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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