2024-06-24T13:18:11Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00011809
2022-12-14T04:00:39Z
1169:1170
Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials
Odake, Satoru
Sasaki, Ryu
Shape invariance
Exceptional orthogonal polynomials
Discrete quantum mechanics
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.
Article
PHYSICS LETTERS B. 682(1):130-136 (2009)
journal article
ELSEVIER SCIENCE BV
2009-11-23
application/pdf
PHYSICS LETTERS B
1
682
130
136
0370-2693
AA00774026
https://soar-ir.repo.nii.ac.jp/record/11809/files/Infinitely_many_shape_invariant_discrete_quantum_mechanical.pdf
eng
10.1016/j.physletb.2009.10.078
https://doi.org/10.1016/j.physletb.2009.10.078