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Coupling integrable field theories to mechanical systems at the boundary

Baseilhac, P. and Delius, G.W. (2001) Coupling integrable field theories to mechanical systems at the boundary. Journal of Physics A: Mathematical and General, 34 (40). pp. 8259-8270. ISSN 1361-6447

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We present an integrable Hamiltonian which describes the sinh-Gordon model on the half line coupled to a non-linear oscillator at the boundary. We explain how we apply Sklyanin's formalism to a dynamical reflection matrix to obtain this model. This method can be applied to couple other integrable field theories to dynamical systems at the boundary. We also show how to find the dynamical solution of the quantum reflection equation corresponding to our particular example.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 17 Apr 2009 11:48
Last Modified: 17 Apr 2009 11:48
Published Version: http://dx.doi.org/10.1088/0305-4470/34/40/304
Status: Published
Publisher: Institute of Physics and IOP Publishing Limited
Identification Number: 10.1088/0305-4470/34/40/304
URI: http://eprints.whiterose.ac.uk/id/eprint/6819

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