In this paper, we construct a new Lax operator for the elliptic Calogero-Moser model with N = 2. The r-matrix structure of this Lax operator is also studied and we find that the r-matrix oi this new Lax operator is numerical which does not depend upon the dynamical variable. The relation between our Lax operator and the Law operator given by Krichever is also obtained.
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Univ Vienna, Erwin Schrodinger Int Inst Math & Phys, Boltzmanngasse 9, A-1090 Vienna, Austria
Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, AustriaUniv Vienna, Erwin Schrodinger Int Inst Math & Phys, Boltzmanngasse 9, A-1090 Vienna, Austria
Grosse, Harald
Kanomata, Naoyuki
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Univ Vienna, Erwin Schrodinger Int Inst Math & Phys, Boltzmanngasse 9, A-1090 Vienna, Austria
Tokyo Univ Sci, 1-3 Kagurazaka,Shinjuku Ku, Tokyo 1628601, JapanUniv Vienna, Erwin Schrodinger Int Inst Math & Phys, Boltzmanngasse 9, A-1090 Vienna, Austria
Kanomata, Naoyuki
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Sako, Akifumi
Wulkenhaar, Raimar
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Univ Vienna, Erwin Schrodinger Int Inst Math & Phys, Boltzmanngasse 9, A-1090 Vienna, Austria
Univ Munster, Math Inst, Einsteinstr 62, D-48149 Munster, GermanyUniv Vienna, Erwin Schrodinger Int Inst Math & Phys, Boltzmanngasse 9, A-1090 Vienna, Austria
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NYU, Dept Phys, CCPP, New York, NY 10016 USA
CUNY City Coll, Dept Phys, New York, NY 10031 USAUniv Glasgow, Sch Math & Stat, Glasgow G12 8QW, Lanark, Scotland