Classically and Quantum Integrable Systems with Boundary

Details Classically and Quantum Integrable Systems with Boundary Classically and Quantum Integrable Systems with Boundary

1998-08-25

arxiv.org/abs/hep-th/9808150v1

J.Phys.A32:757-769,1999

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX, no figure

Scientific paper

10.1088/0305-4470/32/5/008

We study two-dimensional classically integrable field theory with independent boundary condition on each end, and obtain three possible generating functions for integrals of motion when this model is an ultralocal one. Classically integrable boundary condition can be found in solving boundary $K_{\pm}$ equations. In quantum case, we also find that unitarity condition of quantum $R$- matrix is sufficient to construct commutative quantities with boundary, and its reflection equations are obtained.

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