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On one-dimensional Schroedinger problems allowing polynomial solutions

George Krylov·Marko Robnik
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Abstract

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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George Krylov, Marko Robnik. 2000-03-30. On one-dimensional Schroedinger problems allowing polynomial solutions. https://doi.org/10.1088/0305-4470%2F33%2F6%2F310

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