
Principles Of Newtonian And Quantum Mechanics, The - The Need For Planck's Constant, H
The Need for Planck's Constant, h
- 384 pages
- English
- PDF
- Available on iOS & Android
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.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- CONTENTS
- FOREWORD BY BASIL HILEY
- PREFACE
- 1 FROM KEPLER TO SCHRODINGER ... AND BEYOND
- 2 NEWTONIAN MECHANICS
- 3 THE SYMPLECTIC GROUP
- 4 ACTION AND PHASE
- 5 SEMI-CLASSICAL MECHANICS
- 6 THE METAPLECTIC GROUP AND THE MASLOV INDEX
- 7 SCHRODINGER'S EQUATION AND THE METATRON
- A Symplectic Linear Algebra
- B The Lie-Trotter Formula for Flows
- C The Heisenberg Groups
- D The Bundle of S-Densities
- E The Lagrangian Grassmannian
- BIBLIOGRAPHY
- INDEX