Reduction Procedures in Classical and Quantum Mechanics

Physics – Mathematical Physics

Scientific paper

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AMS-LaTeX, 35 pages. Expanded version of the Invited review talk delivered by G. Marmo at XXIst International Workshop On Diff

Scientific paper

10.1142/S0219887807002594

We present, in a pedagogical style, many instances of reduction procedures
appearing in a variety of physical situations, both classical and quantum. We
concentrate on the essential aspects of any reduction procedure, both in the
algebraic and geometrical setting, elucidating the analogies and the
differences between the classical and the quantum situations.

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