The Heine-Stieltjes correspondence is extended and applied to solve Bethe ansatz equations of the Gaudin-Richardson models, from which the extended Heine-Stieltjes polynomial approach to these models is proposed. As examples for the application of this approach, exact solutions of the standard two-site Bose-Hubbard model and the standard pairing model for nuclei are formulated from the corresponding polynomials. © Published under licence by IOP Publishing Ltd.
Publication Source (Journal or Book title)
Journal of Physics: Conference Series
Pan, F., Launey, K., & Guan, X. (2012). The Heine-Stieltjes correspondence and the polynomial approach to the Gaudin-Richardson models. Journal of Physics: Conference Series, 403 (1) https://doi.org/10.1088/1742-6596/403/1/012007