Geodesic
Integration of the stationary problem for a classical spin chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 154-159 
A. P. Veselov. Integration of the stationary problem for a classical spin chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 154-159. http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a14/
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     title = {Integration of the stationary problem for a~classical spin chain},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A general solution of the stationary problem for anisotropic discrete Heisenberg lattice with classical spins and its natural generalization, the discrete version of the classical $n$-dimensional Neumann problem is found. Explicit formulas for solutions in terms of the $\theta$-functions and expressions for energies of these solutions are obtained. Integration is based on the interpretation of the solution in terms of the Bloch eigenfunction of the discrete Schrödinger operator.

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