2024-03-29T07:15:48Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00019821
2022-12-14T04:16:20Z
1169:1170
Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators
Odake, Satoru
We consider the exactly solvable quantum mechanical systems whose eigenfunctions are described by the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. Corresponding to the recurrence relations with constant coefficients for the M-indexed orthogonal polynomials, it is expected that the systems satisfy the generalized closure relations. In fact we can verify this statement for small M examples. The generalized closure relation gives the exact Heisenberg operator solution of a certain operator, from which the creation and annihilation operators of the system are obtained. Published by AIP Publishing.
Article
JOURNAL OF MATHEMATICAL PHYSICS. 57(11):113503 (2016)
journal article
AMER INST PHYSICS
2016-11
application/pdf
JOURNAL OF MATHEMATICAL PHYSICS
11
57
113503
0022-2488
AA00701758
https://soar-ir.repo.nii.ac.jp/record/19821/files/1606.02836v1.pdf
eng
10.1063/1.4966985
https://doi.org/10.1063/1.4966985
© 2016 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. / The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 57(11):113503 (2016) and may be found at (https://doi.org/10.1063/1.4966985).