Swanson Quantum Mechanics

Foundations and Applications
1. Auflage 2006
ISBN: 978-1-58488-753-9
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 343 Seiten

Progressing from the fundamentals of quantum mechanics (QM) to more complicated topics, Quantum Mechanics: Foundations and Applications provides advanced undergraduate and graduate students with a comprehensive examination of many applications that pertain to modern physics and engineering.

Based on courses taught by the author, this textbook begins with an introductory chapter that reviews historical landmarks, discusses classical theory, and establishes a set of postulates. The next chapter demonstrates how to find the appropriate wave functions for a variety of physical systems in one dimension by solving the Schrödinger equation where for time-independent cases, the total energy is an eigenvalue. The following chapter extends this method to three dimensions, focusing on partial differential equations. In subsequent chapters, the author develops the appropriate operators, eigenvalues, and eigenfunctions for angular momentum as well as methods for examining time-dependent systems. The final chapters address special systems of interest, such as lasers, quarks, and hadrons. Appendices offer additional material, exploring matrices, functions, and physical constants.

Relating theory with experiment, Quantum Mechanics: Foundations and Applications provides both basic and complex information for junior- and senior-level physics and engineering students.

Zielgruppe

Undergraduate physics students and graduate students in physics and engineering.

Autoren/Hrsg.

Swanson, Donald Gary

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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