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

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

2006-10-24

arxiv.org/abs/hep-th/0610260v1

J.Phys.A40:F127-F134,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, plain latex

Scientific paper

10.1088/1751-8113/40/4/F03

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.

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