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Quantum Mechanics for Electrical Engineers (IEEE Press Series on Microelectronic Systems)by Dennis M. Sullivan
Synopses & ReviewsPublisher Comments:Explains quantum mechanics in language that electrical engineers understand
As semiconductor devices become smaller and smaller, classical physics alone cannot fully explain their behavior. Instead, electrical engineers need to understand the principles of quantum mechanics in order to successfully design and work with today's semiconductors. Written by an electrical engineering professor for students and professionals in electrical engineering, Quantum Mechanics for Electrical Engineers focuses on those topics in quantum mechanics that are essential for modern semiconductor theory. This book begins with an introduction to the field, explaining why classical physics fails when dealing with very small particles and small dimensions. Next, the author presents a variety of topics in quantum mechanics, including:
Because this book is written for electrical engineers, the explanations of quantum mechanics are rooted in mathematics such as Fourier theory and matrix theory that are familiar to all electrical engineers. Beginning with the first chapter, the author employs simple MATLAB computer programs to illustrate key principles. These computer programs can be easily copied and used by readers to become more familiar with the material. They can also be used to perform the exercises at the end of each chapter. Quantum Mechanics for Electrical Engineers is recommended for upperlevel undergraduates and graduate students as well as professional electrical engineers who want to understand the semiconductors of today and the future. Book News Annotation:Any electrical engineer who hopes to work with modern semiconductors will have to understand at least some quantum mechanics, says Sullivan (electrical and computer engineering, U. of Idaho), but in most colleges, the only courses in it are part of the physics curriculum, with prerequisites and orientations not at all suitable for electrical engineers. This textbook grew out of a onesemester crash course in quantum mechanics specifically for electrical engineers. It is unique in using Fourier theory, a central part of electrical engineering, to explain several concepts; and using the finitedifference timedomain method to simulate the Schrödinger equation and so provide a method of illustrating the behavior of an electron. On the other hand, he says, it does not discuss matters important in physics, such as angular momentum. Annotation Â©2012 Book News, Inc., Portland, OR (booknews.com)
Synopsis: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 About the AuthorDENNIS M. SULLIVAN is Professor of Electrical and Computer Engineering at the University of Idaho as well as an awardwinning 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.
Table of Contents1. Introduction
1.1 Why Quantum Mechanics 1.2 Simulation of the OneDimensional, TimeDependent Schrödinger Equation 1.3 Physical Parametersthe Observables 1.4 The Potential V(X) 1.5 Propagating Through Potential Barriers 1.6 Summary 2. Stationary States 2.1 The Infinite Well 2.2 Eigenfunction Decomposition 2.3 Periodic Boundary Conditions 2.4 Eigenfunctions for Arbitrarily Shaped Potentials 2.5 Coupled Wells 2.6 Braket Notation 2.7 Summary. 3. Fourier Theory in Quantum Mechanics 3.1 The Fourier Transform 3.2 Fourier Analysis and Available States 3.3 Uncertainty 3.4 Transmission via FFT 3.5 Summary 4. Matrix Algebra in Quantum Mechanics 4.1 Vector and Matrix Representation 4.2 Matrix Representation of the Hamiltonian 4.3 The Eigenspace Representation 4.4 Formalism 5. Statistical Mechanics 5.1 Density of States 5.2 Probability Distributions 5.3 The Equilibrium Distribution of Electrons and Holes 5.4 The Electron Density and the Density Matrix 6. Bands and Subbands 6.1 Bands in Semiconductors 6.2 The Effective Mass 6.3 Modes (Subbands) in Quantum Structures 7. The Schrödinger Equation for Spin1.2 Fermions 7.1 Spin in Fermions 7.2 An Electron in a Magnetic Field 7.3 A Charged Particle Moving in Combined E and B fields 7.4 The HartreeFock Approximation 8. Green’s Functions Formulation 8.1 Introduction 8.2 The Density Matrix and the Spectral Matrix 8.3 The Matrix Version of the Green’s Function 8.4 The SelfEnergy Matrix 9. Transmission 9.1 The SingleEnergy Channel 9.2 Current Flow 9.3 The Transmission Matrix 9.4 Conductance 9.5 Büttiker probes 9.6 A Simulation Example 10. Approximation Methods 10.1 The Variational Method 10.2 NonDegenerate Perturbation Theory 10.3 Degenerate Perturbation Theory 10.4 TimeDependent Perturbation Theory 11. The Harmonic Oscillator 11.1 The Harmonic Oscillator in One Dimension 11.2 The Coherent State of the Harmonic Oscillator 11.3 The TwoDimensional Harmonic Oscillator 12. Finding Eigenfunctions Using TimeDomain Simulation 12.1 Finding the Eigenenergies and Eigenfunctions in OneDimension 12.2 Finding the Eigenfunctions of TwoDimensional Structures 12.3 Finding a Complete set of Eigenfunctions Appendix A. Important Constants and Units Appendix B. Fourier Analysis and the Fast Fourier Transform (FFT) Appendix C. An Introduction to the Green’s Function Appendix D. Listing of Computer Programs What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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