Remarks on geometric quantum mechanics

Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimension, Schrödinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry’s phase and a geo...

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Bibliographic Details
Published in:Journal of geometry and physics 2004-06, Vol.51 (2), p.229-243
Main Authors: Benvegnù, Alberto, Sansonetto, Nicola, Spera, Mauro
Format: Article
Language:English
Subjects:
Complete integrability
Geometric phases
Geometric quantum mechanics
Quantum measurement theory
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Summary:Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimension, Schrödinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry’s phase and a geometric description of some aspects of the quantum measurement problem.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2003.10.008