EXACT EIGENSTATES OF SOME SPIN-1/2 HEISENBERG-CHAINS WITH 1/R2 EXCHANGE

Abstract

A new derivation of the exact eigenstates and corresponding energy levels of some spin-1/2 Heisenberg chains with 1/r2 exchange found by Haldane (1991) is given. This method is then applied to obtain some exact eigenstates and corresponding energy levels of a two-component generalization of Haldane's spin system.