Separation of Variables for the Ruijsenaars System

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چکیده

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Separation of variables for the Ruijsenaars system

We construct a separation of variables for the classical n-particle Ruijsenaars system (the relativistic analog of the elliptic Calogero-Moser system). The separated coordinates appear as the poles of the properly normalised eigenvector (Baker-Akhiezer function) of the corresponding Lax matrix. Two different normalisations of the BA functions are analysed. The canonicity of the separated variab...

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 1997

ISSN: 0010-3616,1432-0916

DOI: 10.1007/s002200050231