Dedicated to the memory of Vadim Kuznetsov BETHE ANSATZ FOR THE RUIJSENAARS MODEL OF BC1-TYPE
نویسنده
چکیده
We consider one-dimensional elliptic Ruijsenaars model of type BC1. It is given by a three-term difference Schrödinger L operator 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 A1-case.
منابع مشابه
Bethe Ansatz for the Ruijsenaars Model of BC 1 - Type ?
We consider one-dimensional elliptic Ruijsenaars model of type BC1. 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 A1-case.
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While in theGraduate School at theLeningradUniversity,Vadimcameunder the influence of Professor Igor V. Komarov who instilled in him a lasting interest in the phenomenonof integrability in classical andquantummechanics.Vadim’s firstwork (Komarov & Kuznetsov 1987) gave voice to his remarkable creativity in finding a new explicit formula for the angle variables in the Kowalevski top. Following th...
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تاریخ انتشار 2010