【7/12更新】2022年4月1日からのCiNii ArticlesのCiNii Researchへの統合について

Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials

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Two sets of infinitely many exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials are presented. They are derived as the eigenfunctions of shape invariant and thus exactly solvable quantum mechanical Hamiltonians. which are deformations of those for the Wilson and Askey-Wilson polynomials in terms of a degree l (l = 1, 2 ....) eigenpolynomial. These polynomials are exceptional in the sense that they start from degree l >= 1 and thus not constrained by any generalisation of Bochner's theorem.

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PHYSICS LETTERS B. 682(1):130-136 (2009)

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  • PHYSICS LETTERS B

    PHYSICS LETTERS B 682 (1), 130-136, 2009-11-23

    ELSEVIER SCIENCE BV

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