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arXiv · 1003.3212

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

S. -A. Yahiaoui·M. Bentaiba
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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.

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S. -A. Yahiaoui, M. Bentaiba. 2010-03-16. Bender-Dunne Orthogonal Polynomials, Quasi-Exact Solvability and Asymptotic Iteration Method for Rabi Hamiltonian. https://doi.org/10.5506/aphyspolb.42.1755

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