Solvable Potentials from Supersymmetric Quantum Mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Latex

Scientific paper

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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