Yang-Baxter equation in spin chains with long range interactions

D. Bernard, M. Gaudin, F. D. M. Haldane, V. Pasquier

Published 1993-01-21Version 1

We consider the $ su(n) $ spin chains with long range interactions and the spin generalization of the Calogero-Sutherland models. We show that their properties derive from a transfer matrix obeying the Yang-Baxter equation. We obtain the expression of the conserved quantities and we diagonalize them.