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Reduction, Symmetry, and Phases in Mechanics
Jerrold E. MarsdenRichard MontgomeryTudor S. Rațiu
出版American Mathematical Soc., 1990
主題Mathematics / GeneralMathematics / Algebra / GeneralScience / Mechanics / General
ISBN08218249889780821824986
URLhttp://books.google.com.hk/books?id=jGzUCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Various holonomy phenomena are shown to be instances of the reconstruction procedure for mechanical systems with symmetry. We systematically exploit this point of view for fixed systems and for slowly moving systems in adiabatic context. For the latter, we obtain the phases as the holonomy for a connection which synthesizes the Cartan connection for moving mechanical systems with the Hannay-Berry connection for integrable systems.