Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R)

Details Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R) Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R)

1999-10-13

arxiv.org/abs/solv-int/9910003v1

Phys. Lett. B468 (3-4) 244-250 (1999)

Physics

Mathematical Physics

9 pages, Latex, uses amsfonts

Scientific paper

10.1016/S0370-2693(99)01261-7

Using a rational R-matrix associated with the 4 x 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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