P Baseilhac and G W Delius 2001 J. Phys. A: Math. Gen. 34 8259 doi:10.1088/0305-4470/34/40/304
P Baseilhac and G W Delius
Show affiliationsWe 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.
70H08 Nearly integrable Hamiltonian systems, KAM theory
81Txx Quantum field theory; related classical field theories (See also 70Sxx)
Issue 40 (12 October 2001)
Received 11 July 2001
Published 28 September 2001
P Baseilhac and G W Delius 2001 J. Phys. A: Math. Gen. 34 8259
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