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A lattice model related to the nonlinear Schroedinger equation

Quantum Algebra 2009-10-05 v1 High Energy Physics - Theory Mathematical Physics math.MP Quantum Physics

Abstract

This is a historical note. In 1981 we constructed a discrete version of quantum nonlinear Schroedinger equation. This led to our discovery of quantum determinant: it appeared in construction of anti-pod (11). Later these became important in quantum groups: it describes the center of Yang-Baxter algebra. Our paper was published in Doklady Akademii Nauk vol 259, page 76 (July l981) in Russian language.

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Cite

@article{arxiv.0910.0295,
  title  = {A lattice model related to the nonlinear Schroedinger equation},
  author = {A. G. Izergin and V. E. Korepin},
  journal= {arXiv preprint arXiv:0910.0295},
  year   = {2009}
}

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