Geodesic
Bethe Ansatz for the Ruijsenaars Model of $BC_1$-Type
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. It is given by a three-term difference Schrödinger operator $L$ containing 8 coupling constants. We show that when all coupling constants are integers, $L$ has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This result generalizes the Bethe ansatz formulas known in the $A_1$-case.
Keywords: Heun equation; three-term difference operator; Bloch eigenfunction; spectral curve. 
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     author = {Oleg Chalykh},
     title = {Bethe {Ansatz} for the {Ruijsenaars} {Model} of $BC_1${-Type}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a27/}
}
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Oleg Chalykh. Bethe Ansatz for the Ruijsenaars Model of $BC_1$-Type. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a27/

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