Bender-Dunne Orthogonal Polynomials, Quasi-Exact Solvability and Asymptotic Iteration Method for Rabi Hamiltonian

Details Bender-Dunne Orthogonal Polynomials, Quasi-Exact Solvability and Asymptotic Iteration Method for Rabi Hamiltonian Bender-Dunne Orthogonal Polynomials, Quasi-Exact Solvability and Asymptotic Iteration Method for Rabi Hamiltonian

2010-03-16

arxiv.org/abs/1003.3212v1

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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