# Yang-baxter Algebra for the N-harmonic Oscillator Realisation of Sp(2n, R)

@inproceedings{MacFarlane2008YangbaxterAF, title={Yang-baxter Algebra for the N-harmonic Oscillator Realisation of Sp(2n, R)}, author={Amanda J MacFarlane and Frank Wagner}, year={2008} }

- Published 2008

Using a rational R-matrix associated with the 4 × 4 defining matrix representation of c 2 ∼ = sp(4), the Lie algebra of Sp(4), a one-site operator solution of the associated Yang-Baxter algebra acting in the Fock space of two harmonic oscillators is derived. This is used to define N-site integrable systems, which are soluble by a version of the algebraic Bethe ansatz method without nesting. All essential aspects of the work generalise directly from c 2 to c n .

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