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

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

1992-12-13

arxiv.org/abs/hep-th/9212082v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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