A lattice model related to the nonlinear Schroedinger equation

2009/10/02 by A. G. Izergin, Izergin, A. G., V. E. Korepin +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #advanced mathematical theories #hep-th #math-ph #math.MP #math.QA #quant-ph

paper · pdf · doi:10.48550/arxiv.0910.0295

3pages

arxiv created 2009/10/02 · arxiv updated 2009/12/01

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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