Quantum Mechanics: Foundations and Applications, 1st Edition (Hardback) book cover

Quantum Mechanics

Foundations and Applications, 1st Edition

By Donald Gary Swanson

CRC Press

343 pages | 58 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9781584887522
pub: 2006-08-09
SAVE ~$15.00
$100.00
$85.00
x
eBook (VitalSource) : 9780429147852
pub: 2006-08-09
from $28.98


FREE Standard Shipping!

Description

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.

Reviews

"This textbook on quantum mechanics is characterized by the wide variety of topics touched upon, especially in connection with applications. In fact besides covering essentially all basic arguments for a one year course in quantum mechanics the text briefly considers many other applications such as atomic spectroscopy, quantum statistics, band theory of solids, emission, absorption, lasers, quarks and linear potentials."

– Bassano Vacchini, in Zentralblatt Math, 2009

Table of Contents

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

Subject Categories

BISAC Subject Codes/Headings:
SCI057000
SCIENCE / Quantum Theory