2011•Symmetry Integrability and Geometry Methods and ApplicationsOpen access

Coordinate Bethe Ansatz for Spin s XXX Model

Nicolas Crampé

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Abstract

We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz.To do so, we compute explicitly the Hamiltonian of the model.These results generalize what has been obtained for spin 1 2 and spin 1 chains.

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What this paper is about

We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz.To do so, we compute explicitly the Hamiltonian of the model.These results generalize what has been obtained for spin 1 2 and spin 1 chains.

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Available abstract

We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz.To do so, we compute explicitly the Hamiltonian of the model.These results generalize what has been obtained for spin 1 2 and spin 1 chains.

Key concepts: Bethe ansatz, Integrable system, Eigenfunction, Hamiltonian (control theory), Mathematical physics, Eigenvalues and eigenvectors, Spin (aerodynamics), Physics

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