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Informationen zum Autor DENNIS M. SULLIVAN is Professor of Electrical and Computer Engineering at the University of Idaho as well as an award-winning author and researcher. In 1997, Dr. Sullivan's paper "Z Transform Theory and FDTD Method" won the IEEE Antennas and Propagation Society's R. P. W. King Award for the Best Paper by a Young Investigator. He is the author of Electromagnetic Simulation Using the FDTD Method . Klappentext The main topic of this book is quantum mechanics, as the title indicates. It specifically targets those topics within quantum mechanics that are needed to understand modern semiconductor theory. It begins with the motivation for quantum mechanics and why classical physics fails when dealing with very small particles and small dimensions. Two key features make this book different from others on quantum mechanics, even those usually intended for engineers: First, after a brief introduction, much of the development is through Fourier theory, a topic that is at the heart of most electrical engineering theory. In this manner, the explanation of the quantum mechanics is rooted in the mathematics familiar to every electrical engineer. Secondly, beginning with the first chapter, simple computer programs in MATLAB are used to illustrate the principles. The programs can easily be copied and used by the reader to do the exercises at the end of the chapters or to just become more familiar with the material.Many of the figures in this book have a title across the top. This title is the name of the MATLAB program that was used to generate that figure. These programs are available to the reader. Appendix D lists all the programs, and they are also downloadable at http://booksupport.wiley.com Zusammenfassung The main topic of this book is quantum mechanics, as the title indicates. It specifically targets those topics within quantum mechanics that are needed to understand modern semiconductor theory. It begins with the motivation for quantum mechanics and why classical physics fails when dealing with very small particles and small dimensions. Inhaltsverzeichnis Preface xiii Acknowledgments xv About the Author xvii 1. Introduction 1 1.1 Why Quantum Mechanics? 1 1.1.1 Photoelectric Effect 1 1.1.2 Wave-Particle Duality 2 1.1.3 Energy Equations 3 1.1.4 The Schrödinger Equation 5 1.2 Simulation of the One-Dimensional Time-Dependent Schrödinger Equation 7 1.2.1 Propagation of a Particle in Free Space 8 1.2.2 Propagation of a Particle Interacting with a Potential 11 1.3 Physical Parameters: The Observables 14 1.4 The Potential V ( x ) 17 1.4.1 The Conduction Band of a Semiconductor 17 1.4.2 A Particle in an Electric Field 17 1.5 Propagating through Potential Barriers 20 1.6 Summary 23 Exercises 24 References 25 2. Stationary States 27 2.1 The Infinite Well 28 2.1.1 Eigenstates and Eigenenergies 30 2.1.2 Quantization 33 2.2 Eigenfunction Decomposition 34 2.3 Periodic Boundary Conditions 38 2.4 Eigenfunctions for Arbitrarily Shaped Potentials 39 2.5 Coupled Wells 41 2.6 Bra-ket Notation 44 2.7 Summary 47 Exercises 47 References 49 3. Fourier Theory in Quantum Mechanics 51 3.1 The Fourier Transform 51 3.2 Fourier Analysis and Available States 55 3.3 Uncertainty 59 3.4 Transmission via FFT 62 3.5 Summary 66 Exercises 67 References 69 4. Matrix Algebra in Quantum Mechanics 71 4.1 Vector and Matrix Representation 71 4.1.1 State Variables as Vectors 71 4.1.2 Operators as Matrices 73 4.2 Matrix Representation of the Hamiltonian 76 4.2.1 Finding the Eigenvalues and Eigenvectors of a Matrix 77 4.2.2 A Well with Periodic Bo...
