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Integrable Quantum Mappings and Quantization Aspects of Integrable Discrete-time Systems

1992/12/13 by Frank Nijhoff, F. W. Nijhoff, Nijhoff, F. W. +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9212082

INS #193 (september 1992). to be published in Proc. of the NATO ARW on Appl. of Anal. and Geom. Meth. to Nonlinear Diff. Eqs., Exeter, July 1992

arxiv created 1992/12/13 · openalex publication_date 1992/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a quantum Yang-Baxter structure associated with non-ultralocal lattice models. We discuss the canonical structure of a class of integrable quantum mappings, i.e. canonical transformations preserving the basic commutation relations. As a particular class of solutions we present two examples of quantum mappings associated with the lattice analogues of the KdV and MKdV equations, together with their exact quantum invariants. plain LaTeX, equations.sty appended

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