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Remarks on the notion of quantum integrability

2010/12/16 by J. -S. Caux, J. Mossel · 3 citations
Physics and Astronomy · #cond-mat.str-el #hep-th #quant-ph

paper · pdf · doi:10.1088/1742-5468/2011/02/p02023

published as J. Stat. Mech. (2011) P02023 · 22 pages, no figures, Proceedings of Statphys 24

arxiv created 2010/12/16 · arxiv updated 2015/05/20

Abstract

We discuss the notion of integrability in quantum mechanics. Starting from a review of some definitions commonly used in the literature, we propose a different set of criteria, leading to a classification of models in terms of different integrability classes. We end by highlighting some of the expected physical properties associated to models fulfilling the proposed criteria.

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