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Solvable Potentials from Supersymmetric Quantum Mechanics
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Solvable Potentials from Supersymmetric Quantum Mechanics
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hep-th
keywords
potentialssolvablefindknownmechanicsquantumsupersymmetricatze
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A recurrence relation of Riccati-type differential equations known in supersymmetric quantum mechanics is investigated to find exactly solvable potentials. Taking some simple {\it ans\"atze}, we find new classes of solvable potentials as well as reproducing the known shape-invariant ones.
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