Exactly solvable models of interacting spin-sparticles in one dimension

C S Melo, M J Martins
2007 Journal of Physics A: Mathematical and Theoretical  
We consider the exact solution of a many-body problem of spin-$s$ particles interacting through an arbitrary U(1) invariant factorizable $S$-matrix. The solution is based on a unified formulation of the quantum inverse scattering method for an arbitrary $(2s+1)$-dimensional monodromy matrix. The respective eigenstates are shown to be given in terms of $2s$ creation fields by a general new recurrence relation. This allows us to derive the spectrum and the respective Bethe ansatz equations.
doi:10.1088/1751-8113/40/4/f03 fatcat:ypijgfmnlba3bay23rijrsribm