【摘 要】
：
The Bethe ansatz is a key tool in the area of quantum integrable and exactly solvable models.For each such model,understanding the nature of the roots of the Bethe ansatz equations is central to under
【机 构】
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The University of Queensland, Australia
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
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The Bethe ansatz is a key tool in the area of quantum integrable and exactly solvable models.For each such model,understanding the nature of the roots of the Bethe ansatz equations is central to understanding the mathematical physics underpinning the model’s behaviour.Here we analyse an exactly solvable,non-hermitian BCS pairing Hamiltonian dependent on a real-valued coupling parameter.The Hamiltonian displays a real spectrum for all values of this coupling parameter.The roots of the Bethe ansatz equations can be categorized into two classes,those which are dependent on the coupling parameter and those which are not.We will discuss how those roots which are independent of the coupling parameter can be associated to exotic quasi-particles obeying generalised exclusion statistics,in the sense proposed by Haldane in 1991.
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