9781860942747

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The Principles of Newtonian & Quantum Mechanics
Author(s): Maurice De Gosson, M. a. de Gosson
ISBN-13: 9781860942747 ISBN: 1860942741

Format: Hardcover   Pages: 320 Edition: 1st   
Pub. Date: 2001-12 Publisher: World Scientific Publishing Company
List Price: $136.00

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Book Description

The Principles of Newtonian & Quantum Mechanics

This book 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.

 

 
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