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

F. W. Nijhoff; H. W. Capel

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arXiv · hep-th/9212082

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

F. W. Nijhoff·H. W. Capel

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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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F. W. Nijhoff, H. W. Capel. 1992-12-13. Integrable Quantum Mappings and Quantization Aspects of Integrable Discrete-time Systems. https://arxiv.org/abs/hep-th/9212082

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