Semantic Scholar Open Access 1993 64 sitasi

Dynamical r-matrices for the Elliptic Calogero-Moser Model

E.K.Sklyanin

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Abstrak

LPTHE-93-42hep-th/9308060Abstract. For the integrable N-particle Calogero-Moser system with ellipticpotential it is shown that the Lax operator found by Krichever possesses a classicalr-matrix structure. The r-matrix is a natural generalisation of the matrix foundrecently by Avan and Talon (hep-th/9210128) for the trigonometric potential. Ther-matrix depends on the spectral parameter and only half of the dynamical variables(particles’ coordinates). It satisﬁes a generalized Yang-Baxter equation involvinganother dynamical matrix.

Topik & Kata Kunci

Physics Mathematics

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E.K.Sklyanin

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E.K.Sklyanin (1993). Dynamical r-matrices for the Elliptic Calogero-Moser Model. https://www.semanticscholar.org/paper/b5a63aaf65b2696387c05a9320477ff48573a5e1

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Tahun Terbit: 1993
Bahasa: en
Total Sitasi: 64×
Sumber Database: Semantic Scholar
Akses: Open Access ✓