Eigenvalues of Ruijsenaars–Schneider models associated with An−1 root system in Bethe ansatz formalism

DOI10.1063/1.1635067zbMath1070.81070arXivhep-th/0309194OpenAlexW2001936140MaRDI QIDQ4833310

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Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0309194

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (7)

Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta}(sl_n)\) and its applications ⋮ Drinfeld twists of the open XXZ chain with non-diagonal boundary terms ⋮ Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end ⋮ Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end ⋮ Explicit solution of the (quantum) elliptic Calogero-Sutherland model ⋮ Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms ⋮ Scalar products of the open XYZ chain with non-diagonal boundary terms

Cites Work

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• Fusion for the Function Difference Representation of Zn Sklyanin Algebra
• Generalized Bethe ansatz with the general spin representations of the Sklyanin algebra
• Commuting difference operators arising from the elliptic C2(1)-face model
• Integrability of difference Calogero–Moser systems
• Conserved operators of the generalized elliptic Ruijsenaars models
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.

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