Remarks on the notion of quantum integrability

Details Remarks on the notion of quantum integrability Remarks on the notion of quantum integrability

2010-12-16

arxiv.org/abs/1012.3587v1

J. Stat. Mech. (2011) P02023

Physics

Condensed Matter

Strongly Correlated Electrons

22 pages, no figures, Proceedings of Statphys 24

Scientific paper

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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