Coupling integrable field theories to mechanical systems at the boundary

P. Baseilhac; G.W. Delius

doi:10.1088/0305-4470/34/40/304

Coupling integrable field theories to mechanical systems at the boundary

P. Baseilhac, G.W. Delius

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	8259-8270
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	40
DOIs	https://doi.org/10.1088/0305-4470/34/40/304
Publication status	Published - Oct 2001

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10.1088/0305-4470/34/40/304

http://dx.doi.org/10.1088/0305-4470/34/40/304

Cite this

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title = "Coupling integrable field theories to mechanical systems at the boundary",

abstract = "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.",

author = "P. Baseilhac and G.W. Delius",

year = "2001",

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AU - Delius, G.W.

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AB - 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.

U2 - 10.1088/0305-4470/34/40/304

DO - 10.1088/0305-4470/34/40/304

M3 - Article

SN - 0305-4470

VL - 34

SP - 8259

EP - 8270

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 40

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