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THE PRINCIPLES OF NEWTONIAN AND QUANTUM MECHANICS
The Need for Planck's Constant, h
by M A de Gosson (Blekinge Institute of Technology, Sweden)
with Foreword by Basil Hiley
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.
Contents:
- From Kepler to Schrödinger ... and Beyond
- Newtonian Mechanics
- The
Symplectic Group
- Action and Phase
- Semi-Classical Mechanics
- The Metaplectic Group and the Maslov Index
- Schrödinger's Equation and the Metatron
Readership: Researchers and graduate students in mathematical physics.
| 384pp |
Pub. date: Oct 2001 |
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