2024-03-29T14:09:59Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00011678
2022-12-14T04:19:15Z
1169:1170
Solvable discrete quantum mechanics: q-orthogonal polynomials with |q|=1 and quantum dilogarithm
Odake, Satoru
Sasaki, Ryu
Several kinds of q-orthogonal polynomials with |q|=1 are constructed as the main parts of the eigenfunctions of new solvable discrete quantum mechanical systems. Their orthogonality weight functions consist of quantum dilogarithm functions, which are a natural extension of the Euler gamma functions and the q-gamma functions (q-shifted factorials). The dimensions of the orthogonal spaces are finite. These q-orthogonal polynomials are expressed in terms of the Askey-Wilson polynomials and their certain limit forms.
Article
Journal of Mathematical Physics,56(7):073502 2015
journal article
AMER INST PHYSICS
2015-07
application/pdf
Journal of Mathematical Physics
7
56
73502
0022-2488
AA00701758
https://soar-ir.repo.nii.ac.jp/record/11678/files/Solvable_Discrete_Quantum_Mechanics.pdf
eng
10.1063/1.4926351
https://doi.org/10.1063/1.4926351
©2015 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. 56(7):073502 (2015) and may be found at https://doi.org/10.1063/1.4926351