On one-dimensional Schroedinger problems allowing polynomial solutions
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🌊 nlin.CD
nlin.SI
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problemsschroedingersomeadmittingallowingalmostapproachbeen
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We discuss the explicit construction of the Schroedinger equations admitting a representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has also been performed in higher-dimensional problems.
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