Classically and Quantum Integrable Systems with Boundary

Yi-Xin Chen; Xu-Dong Luo; Ke Wu

doi:10.1088/0305-4470/32/5/008

Classically and Quantum Integrable Systems with Boundary

高能物理 - 理论 2008-11-26 v1

作者: Yi-Xin Chen , Xu-Dong Luo , Ke Wu

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摘要

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.

关键词

boundary conditions in quantum mechanics quantum classical transition integrable systems

引用

@article{arxiv.hep-th/9808150,
  title  = {Classically and Quantum Integrable Systems with Boundary},
  author = {Yi-Xin Chen and Xu-Dong Luo and Ke Wu},
  journal= {arXiv preprint arXiv:hep-th/9808150},
  year   = {2008}
}

备注

12 pages, LaTeX, no figure

Classically and Quantum Integrable Systems with Boundary

摘要

关键词

引用

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