Bender-Dunne Orthogonal Polynomials, Quasi-Exact Solvability and Asymptotic Iteration Method for Rabi Hamiltonian
Mathematical Physics
2013-06-14 v1 math.MP
Abstract
We present a method for obtaining the quasi-exact solutions of the Rabi Hamiltonian in the framework of the asymptotic iteration method. The energy eigenvalues, the eigenfunctions and the associated Bender-Dunne orthogonal polynomials are deduced. The latter prove to have a nonpositive definite norm.
Keywords
Cite
@article{arxiv.1003.3212,
title = {Bender-Dunne Orthogonal Polynomials, Quasi-Exact Solvability and Asymptotic Iteration Method for Rabi Hamiltonian},
author = {S. -A. Yahiaoui and M. Bentaiba},
journal= {arXiv preprint arXiv:1003.3212},
year = {2013}
}
Comments
10 pages