Physics – Mathematical Physics
Scientific paper
2009-09-21
Phys. Lett. B682 (2009) 130-136
Physics
Mathematical Physics
7 pages; one reference added, published in Phys. Lett. B682 (2009) 130-136
Scientific paper
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 \ell (\ell=1,2,...) eigenpolynomial. These polynomials are exceptional in the sense that they start from degree \ell\ge1 and thus not constrained by any generalisation of Bochner's theorem.
Odake Satoru
Sasaki Ryu
No associations
LandOfFree
Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-431957