Principles Of Newtonian And Quantum Mechanics, The - The Need For Planck's Constant, H

Principles Of Newtonian And Quantum Mechanics, The - The Need For Planck's Constant, H

By: Maurice A. Gosson (author), Basil Hiley (foreword_author)Hardback

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Description

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 Schroedinger . and Beyond; Newtonian Mechanics; The Symplectic Group; Action and Phase; Semi-Classical Mechanics; The Metaplectic Group and the Maslov Index; Schroedinger's Equation and the Metatron.

Product Details

  • ISBN13: 9781860942747
  • Format: Hardback
  • Number Of Pages: 384
  • ID: 9781860942747
  • ISBN10: 1860942741

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