Mechanics

Classical and Quantum

T. T. Taylor, D. Ter Haar

• Publisher: Pergamon
• Year: 2016
• Print ISBN: 9780080205229
• eBook ISBN: 9781483139982
• Topic: Physical Sciences
• Subtopic: Quantum Theory

Mechanics: Classical and Quantum is a 13-chapter book that begins by explaining the Lagrangian and Hamiltonian formulation of mechanics. The Hamilton-Jacobi theory, historical background of the quantum theory, and wave mechanics are then described. Subsequent chapters discuss the time-independent Schrödinger equation and some of its applications; the operators, observables, and the quantization of a physical system; the significance of expectation values; and the concept of measurement in quantum mechanics. The matrix mechanics and the "hydrogenic atom", an atom in which one electron moves under the influence of a nucleus of charge that, to a very good approximation, can be thought of as a point, are also presented. This book will be very useful to students studying this field of interest.

Table of contents

• Front Cover
• Mechanics: Classical and Quantum
• Copyright Page
• Table of Contents
• PREFACE
• Table of Contents
• PREFACE
• CHAPTER 1. THE LAGRANGIAN FORMULATION OF MECHANICS
• CHAPTER 2. THE HAMILTONIAN FORMULATION OF MECHANICS
• CHAPTER 3. HAMILTON-JACOBI THEORY
• CHAPTER 4. WAVES
• CHAPTER 5. HISTORICAL BACKGROUND OF THE QUANTUM THEORY
• CHAPTER 6. WAVE MECHANICS
• CHAPTER 7. THE TIME-INDEPENDENT SCHRÖDINGER EQUATIONAND SOME OF ITS APPLICATIONS
• CHAPTER 8. OPERATORS, OBSERVABLES, AND THE QUANTIZATION OF A PHYSICAL SYSTEM
• CHAPTER 9. THE SIGNIFICANCE OF EXPECTATION VALUES
• CHAPTER 10. THE MOMENTUM REPRESENTATION
• CHAPTER 11. THE CONCEPT OF MEASUREMENT IN QUANTUMMECHANICS
• CHAPTER 12. THE HYDROGENIC ATOM
• CHAPTER 13. MATRIX MECHANICS
• APPENDIX A: ELECTROMAGNETIC INTERACTION ENERGIES IN TERMS OF LOCAL POTENTIALS
• APPENDIX B: CANONICITY OF THE TRANSFORMATIONGENERATED BY Gb(qj, Pj, t)
• APPENDIX C: MOST PROBABLE DISTRIBUTION OF ENERGY AMONG CAVITY MODES
• APPENDIX D: POISSON BRACKETS
• REFERENCES
• SELECTED SUPPLEMENTARY REFERENCES
• PROBLEMS
• NAME INDEX
• SUBJECT INDEX
• OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY