2021-10-16T15:25:47Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000118092021-09-02T06:12:21Z1169:1170Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomialsOdake, SatoruSasaki, RyuShape invarianceExceptional orthogonal polynomialsDiscrete quantum mechanicsTwo 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.ArticlePHYSICS LETTERS B. 682(1):130-136 (2009)ELSEVIER SCIENCE BV2009-11-23engjournal articleAMhttp://hdl.handle.net/10091/16123https://soar-ir.repo.nii.ac.jp/records/11809https://doi.org/10.1016/j.physletb.2009.10.07810.1016/j.physletb.2009.10.0780370-2693AA00774026PHYSICS LETTERS B6821130136https://soar-ir.repo.nii.ac.jp/record/11809/files/Infinitely_many_shape_invariant_discrete_quantum_mechanical.pdfapplication/pdf191.5 kB2015-09-28