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The principles of Newtonian and quantum mechanics : the need for Planck's constant, h /
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 "princip...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : River Edge, NJ :
Imperial College Press ; Distributed by World Scientific Pub.,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xxii, 357 pages) |
| Bibliografía: | Includes bibliographical references (pages 343-351) and index. |
| ISBN: | 9781848161429 1848161425 1281865982 9781281865984 9786611865986 6611865985 |