Linear $r$-Matrix Algebra for Systems Separable\\ in Parabolic Coordinates

J. C. Eilbeck; V. Z. Enol'skii; V. B. Kuznetsov; D. V. Leykin

doi:10.1016/0375-9601(93)90697-X

Linear $r$-Matrix Algebra for Systems Separable\\ in Parabolic Coordinates

高能物理 - 理论 2009-10-22 v1

作者: J. C. Eilbeck , V. Z. Enol'skii , V. B. Kuznetsov , D. V. Leykin

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摘要

We consider a hierarchy of many particle systems on the line with polynomial potentials separable in parabolic coordinates. Using the Lax representation, written in terms of $2\times 2$ matrices for the whole hierarchy, we construct the associated linear $r$ -matrix algebra with the $r$ -matrix dependent on the dynamical variables. A dynamical Yang-Baxter equation is discussed.

关键词

yang-baxter equation integrable systems positive maps in quantum information

引用

@article{arxiv.hep-th/9308143,
  title  = {Linear $r$-Matrix Algebra for Systems Separable\\ in Parabolic Coordinates},
  author = {J. C. Eilbeck and V. Z. Enol'skii and V. B. Kuznetsov and D. V. Leykin},
  journal= {arXiv preprint arXiv:hep-th/9308143},
  year   = {2009}
}

备注

10 pages, LaTeX. Submitted to Phys.Lett.A

Linear $r$-Matrix Algebra for Systems Separable\\ in Parabolic Coordinates

摘要

关键词

引用

备注

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