The Principles of Newtonian & Quantum Mechanics by M. A. De Gosson, Maurice De Gosson

The Principles of Newtonian & Quantum Mechanics



Download The Principles of Newtonian & Quantum Mechanics




The Principles of Newtonian & Quantum Mechanics M. A. De Gosson, Maurice De Gosson
Language: English
Page: 382
Format: pdf
ISBN: 1860942741, 9781860942747
Publisher: World Scientific Publishing Company

This 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.

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