1993/02/28 by Arlen Anderson · 3 citations
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum chaos and dynamical systems #hep-th
paper · pdf · doi:10.1016/0370-2693(93)90796-k
published as Phys.Lett.B319:157-162,1993 · 15 pages, LaTeX, Imperial-TP-92-93-19 [Revision consists of new material on observables and an explanation of how the proposed definition of integrability allows for systems which have fewer commuting integrals of the motion than degrees of freedom.]
arxiv created 1993/09/06 · openalex publication_date 1993/12/01 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum canonical transformations are defined in analogy to classical canonical transformations as changes of the phase space variables which preserve the Dirac bracket structure. In themselves, they are neither unitary nor non-unitary. A definition of quantum integrability in terms of canonical transformations is proposed which includes systems which have fewer commuting integrals of motion than degrees of freedom. The important role of non-unitary transformations in integrability is discussed.