Yang-Baxter algebra for the n-harmonic oscillator realisation of Sp(2n,R)

Using a rational R-matrix associated with the 4 x 4 defining matrix represe ntation of c(2) congruent to sp(4), the Lie algebra of Sp(4), a one-site op erator solution of the associated Yang-Baxter algebra acting in the Fock sp ace of two harmonic oscillators is derived. This is used to define N-site i ntegrable systems, which are soluble by a version of the algebraic Bethe an satz method without nesting. All essential aspects of the work generalise d irectly from c(2) to c(n). (C) 1999 Published by Elsevier Science B.V. All rights reserved.