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On Potentials Integrated by the Nikiforov-Uvarov Method

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arxiv 2303.02560 v4 pith:2YNWP5C2 submitted 2023-03-05 quant-ph math-phmath.MP

Lina Ellis , Ikumi Ellis , Christoph Koutschan , Sergei K. Suslov This is my paper · ORCID
classification quant-phmath-phmath.MP
keywords integratedpotentialsquantumalgebraanalyticalbasiccomputerconsideration
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We discuss basic potentials of the nonrelativistic and relativistic quantum mechanics that can be integrated in the Nikiforov and Uvarov paradigm with the aid of a computer algebra system. This consideration may help the readers to study analytical methods of quantum physics.

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Cited by 2 Pith papers

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    The authors derive exact analytic solutions for gravitational wave displacement memory when the flyby profile is approximated by the hyperbolic Scarf potential, with magic amplitude values |g|=(2n+1) sqrt(n(n+1)).

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    math.CA 2025-01 accept novelty 5.0 of 10

    All hypergeometric-class special functions are shown to be governed by one Casimir operator in Miller's Lie algebra, giving unified derivations of their recurrences, symmetries, series, integrals, and polynomial ortho...

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