Analytic proof of the Sutherland conjecture

Details Analytic proof of the Sutherland conjecture Analytic proof of the Sutherland conjecture

2003-12-23

arxiv.org/abs/math-ph/0312061v1

Physics

Mathematical Physics

7 pages

Scientific paper

Using the integral representation of the inverse of the logarithmic
derivative of the elliptic theta function, the spectrum of the Lax matrix for
the 1D system of particles interacting via inverse sinh-squared potential is
shown to be given by the asymptotic Bethe ansatz in the thermodynamic limit.

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