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

A. J. Macfarlane·F. Wagner
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Abstract

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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BibTeXRIS

A. J. Macfarlane, F. Wagner. 1999-10-13. Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R). https://doi.org/10.1016/s0370-2693(99)01261-7

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