Problems in Quantum Mechanics

F. Constantinescu, E. Magyari, J.A. Spiers, J.A. Spiers

• Publisher: Pergamon
• Year: 2013
• ISBN:
  9781483292946
• Topic: Physical Sciences
• Subtopic: Energy

International Series in Natural Philosophy, Volume 30: Problems in Quantum Mechanics focuses on the processes, principles, reactions, and methodologies involved in quantum mechanics. The publication first elaborates on the mathematical formalism of quantum mechanics, simple quantum systems, and mean values and uncertainty relations. Discussions focus on mean values of dynamical variables, uncertainty relations, eigenfunctions and the energy spectrum, motion in a central field, matrix representation of vectors and operators, Hubert spaces, and operators in Hilbert space. The text then takes a look at mean values and uncertainty relations, semi-classical approximation, and pictures and representations. The book takes a look at orbital angular momentum and spin, systems of identical particles, and perturbation theory. Topics include variational method, stationary state perturbation theory, isotopic spin, second quantization, properties of angular momentum operators, and angular momentum and rotations of coordinate axes. The manuscript also ponders on functions used in quantum mechanics, relativistic quantum mechanics, and radiation theory. The publication is a dependable reference for researchers interested in quantum mechanics.

Table of contents

• Front Cover
• Problems in Quantum Mechanics
• Copyright Page
• Table of Contents
• FOREWORD
• A NOTE ON THE LAYOUT OF THIS BOOK
• CHAPTER I. THE MATHEMATICAL FORMALISM OF QUANTUM MECHANICS
• CHAPTER II. SIMPLE QUANTUM SYSTEMS
• CHAPTER III. MEAN VALUES AND UNCERTAINTY RELATIONS
• CHAPTER V. PICTURES AND REPRESENTATIONS
• CHAPTER VI. ORBITAL ANGULAR MOMENTUM AND SPIN
• CHAPTER VII. SYSTEMS OF IDENTICAL PARTICLES. SECOND QUANTIZATION
• CHAPTER VIII. PERTURBATION THEORY. THE VARIATIONAL METHOD
• CHAPTER IX. TIME-DEPENDENT PERTURBATIONS. RADIATION THEORY
• CHAPTER X. COLLISION THEORY
• CHAPTER XI. ATOMS AND MOLECULES
• CHAPTER XII. RELATIVISTIC QUANTUM MECHANICS
• APPENDIX. CERTAIN FUNCTIONS USED IN QUANTUM MECHANICS
• REFERENCES
• INDEX
• OTHER TITLES IN THE SERIES