dorsal/arxiv
View SchemaYang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R)
| Authors | A. J. Macfarlane, F. Wagner |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9910003 |
| URL | https://arxiv.org/abs/solv-int/9910003 |
| DOI | 10.1016/S0370-2693(99)01261-7 |
| Journal | Phys. Lett. B468 (3-4) 244-250 (1999) |
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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"abstract": "Using a rational R-matrix associated with the 4 x 4 defining matrix\nrepresentation of c_2=sp(4), the Lie algebra of Sp(4), a one-site operator\nsolution of the associated Yang-Baxter algebra acting in the Fock space of two\nharmonic oscillators is derived. This is used to define N-site integrable\nsystems, which are soluble by a version of the algebraic Bethe ansatz method\nwithout nesting. All essential aspects of the work generalise directly from c_2\nto c_n.",
"arxiv_id": "solv-int/9910003",
"authors": [
"A. J. Macfarlane",
"F. Wagner"
],
"categories": [
"solv-int",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.1016/S0370-2693(99)01261-7",
"journal_ref": "Phys. Lett. B468 (3-4) 244-250 (1999)",
"title": "Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R)",
"url": "https://arxiv.org/abs/solv-int/9910003"
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