Coupling integrable field theories to mechanical systems at the boundary

Details Coupling integrable field theories to mechanical systems at the boundary Coupling integrable field theories to mechanical systems at the boundary

2001-06-29

arxiv.org/abs/hep-th/0106275v1

J.Phys.A34:8259-8270,2001

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1088/0305-4470/34/40/304

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.

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