Exactly Solvable Models of Interacting Spin-s Particles in one-dimension

Abstract

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.

10 pages, plain latex

Cited by in corpus (1)

• Algebraic Bethe Ansatz for U(1) Invariant Integrable Models: The Method and General Results