Quantum Mechanics: Foundations and Applications

ISBN-13: 9780367390501 / Angielski / Miękka / 2019 / 343 str.

Donald Gary Swanson

Opis

Progressing from the fundamentals of quantum mechanics to more advanced topics, this book provides a comprehensive examination of many applications that pertain to modern physics and engineering. It begins by discussing the use of Fourier transform pairs to introduce operators in a clear way. In subsequent chapters, the author examines the Schrödinger equation, develops the appropriate operators for angular momentum, gives methods for examining time-dependent systems, and addresses special systems of interest, such as lasers and hadrons. The appendices explore matrices, functions, and physical constants, and give answers to selected problems. Throughout, the author provides relevant mathematical derivations where appropriate.

Spis treści

Preface

THE FOUNDATIONS OF QUANTUM PHYSICS
The Prelude to Quantum Mechanics
Wave-Particle Duality and the Uncertainty Relation
Fourier Transforms in Quantum Mechanics
The Postulatory Basis of Quantum Mechanics
Operators and the Mathematics of Quantum Mechanics
Properties of Quantum Mechanical Systems

THE SCHRÖDINGER EQUATION IN ONE DIMENSION
The Free Particle
One-Dimensional Harmonic Oscillator
Time Evolution and Completeness
Operator Method

THE SCHRÖDINGER EQUATION IN THREE DIMENSIONS
The Free Particle in Three Dimensions
Particle in a Three-Dimensional Box
The One-Electron Atom
Central Potentials

TOTAL ANGULAR MOMENTUM
Orbital and Spin Angular Momentum
Half-Integral Spin Angular Momentum
Addition of Angular Momenta
Interacting Spins for Two Particles

APPROXIMATION METHODS
Introduction - The Many-Electron Atom
Nondegenerate Perturbation Theory
Perturbation Theory for Degenerate States
Time-Dependent Perturbation Theory
The Variational Method
Wentzel, Kramers, and Brillouin Theory (WKB)

ATOMIC SPECTROSCOPY
Effects of Symmetry
Spin-Orbit Coupling in Multielectron Atoms

QUANTUM STATISTICS
Derivation of the Three Quantum Distribution Laws
Applications of the Quantum Distribution Laws

BAND THEORY OF SOLIDS
Periodic Potentials
Periodic Potential - Kronig-Penney Model
Impurities in Semiconductors
Drift, Diffusion, and Recombination
Semiconductor Devices

EMISSION, ABSORPTION, AND LASERS
Emission and Absorption of Photons
Spontaneous Emission
Stimulated Emission and Lasers

SCATTERING THEORY
Scattering in Three Dimensions
Scattering and Inverse Scattering in One Dimension

RELATIVISTIC QUANTUM MECHANICS AND PARTICLE THEORY
Dirac Theory of the Electron
Quantum Electrodynamics (QED) and Electroweak Theory
Quarks, Leptons, and the Standard Model

Appendix A: Matrix Operations
Appendix B: Generating Functions
Appendix C: Answers to Selected Problems
Appendix D: The Fundamental Physical Constants, 1986

Bibliography
Index

O autorze

Swanson, Donald Gary