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The principles of newtonian and quantum mechanics
The principles of newtonian and quantum mechanics
eBook

The principles of newtonian and quantum mechanics

2001
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Overview
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.
Publisher
World Scientific Publishing Co. Pte. Ltd,Imperial College Press,World Scientific Publishing Company,PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO
ISBN
1860942741, 9781860942747, 9781848161429, 1848161425