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

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

The Need for Planck's Constant, h

  1. 384 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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

The Need for Planck's Constant, h

About this book

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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Yes, you can access Principles Of Newtonian And Quantum Mechanics, The - The Need For Planck's Constant, H by Maurice A De Gosson in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. CONTENTS
  2. FOREWORD BY BASIL HILEY
  3. PREFACE
  4. 1 FROM KEPLER TO SCHRODINGER ... AND BEYOND
  5. 2 NEWTONIAN MECHANICS
  6. 3 THE SYMPLECTIC GROUP
  7. 4 ACTION AND PHASE
  8. 5 SEMI-CLASSICAL MECHANICS
  9. 6 THE METAPLECTIC GROUP AND THE MASLOV INDEX
  10. 7 SCHRODINGER'S EQUATION AND THE METATRON
  11. A Symplectic Linear Algebra
  12. B The Lie-Trotter Formula for Flows
  13. C The Heisenberg Groups
  14. D The Bundle of S-Densities
  15. E The Lagrangian Grassmannian
  16. BIBLIOGRAPHY
  17. INDEX