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OverviewThis work deals with the foundations of classical physics from the ""symplectic"" point of view, and of quantum mechanics from the ""metaplectic"" point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the ""principle of the symplectic camel"", which is a recently discovered deep topological property of Hamiltonian flows. The mathematical tools developed in this book are the theory of the metaplectic group, the Maslov index in a precise form, and the Leray index of a pair of Lagrangian planes. The concept of the ""metatron"" is introduced, in connection with the Bohmian theory of motion. A precise form of Feynman's integral is introduced in connection with the extended metaplectic representation. Full Product DetailsAuthor: Maurice A De Gosson (Univ Of Vienna, Austria) , Basil Hiley (Univ Of London, Uk)Publisher: Imperial College Press Imprint: Imperial College Press ISBN: 9781860942747ISBN 10: 1860942741 Pages: 384 Publication Date: 16 October 2001 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Awaiting stock  The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsFrom Kepler to Schroedinger . and Beyond; Newtonian Mechanics; The Symplectic Group; Action and Phase; Semi-Classical Mechanics; The Metaplectic Group and the Maslov Index; Schroedinger's Equation and the Metatron.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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