Browsing by Author "Dereli, T"

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    Citation - WoS: 4
    Citation - Scopus: 4
    Exactly Solvable Pairing Model Using an Extension of the Richardson-Gaudin Approach
    (World Scientific Publ Co Pte Ltd, 2005) Balantekin, AB; Dereli, T; Pehlivan, Y
    We introduce a new class of exactly solvable boson pairing models using the technique of Richardson and Gaudin. Analytical expressions for all energy eigenvalues and the first few energy eigenstates are given. In addition, another solution to Gaudin's equation is also mentioned. A relation with the Calogero-Sutherland model is suggested.
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    Article
    Citation - WoS: 11
    Citation - Scopus: 12
    Solutions of the Gaudin Equation and Gaudin Algebras
    (Iop Publishing Ltd, 2005) Balantekin, AB; Dereli, T; Pehlivan, Yamac
    Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions, we introduce a class of mutually commuting Hamiltonians based on a different solution of the Gaudin equation. Application of the algebraic Bethe ansatz technique to diagonalize these Hamiltonians reveals a new infinite-dimensional complex Lie algebra.