Quantum Canonical Transformations and Integrability: Beyond Unitary Transformations

Details Quantum Canonical Transformations and Integrability: Beyond Unitary Transformations Quantum Canonical Transformations and Integrability: Beyond Unitary Transformations

1993-02-15

arxiv.org/abs/hep-th/9302061v2

Phys.Lett.B319:157-162,1993

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, Imperial-TP-92-93-19 [Revision consists of new material on observables and an explanation of how the proposed

Scientific paper

10.1016/0370-2693(93)90796-K

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.

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