Quantum Mechanics for Electrical Engineers / IEEE Press Series on Microelectronic Systems (PDF)
(Sprache: Englisch)
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...
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...
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Produktinformationen zu „Quantum Mechanics for Electrical Engineers / IEEE Press Series on Microelectronic Systems (PDF)“
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 href="http://booksupport.wiley.com/">http://booksupport.wiley.com
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 href="http://booksupport.wiley.com/">http://booksupport.wiley.com
Inhaltsverzeichnis zu „Quantum Mechanics for Electrical Engineers / IEEE Press Series on Microelectronic Systems (PDF)“
1. Introduction 1.1 Why Quantum Mechanics 1.2 Simulation of the One-Dimensional, Time-Dependent Schrödinger Equation 1.3 Physical Parameters-the 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 Bra-ket 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 Spin-1.2 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 Hartree-Fock 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 Self-Energy Matrix 9. Transmission 9.1 The Single-Energy 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 Non-Degenerate Perturbation Theory 10.3 Degenerate Perturbation Theory 10.4 Time-Dependent 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 Two-Dimensional Harmonic Oscillator 12. Finding Eigenfunctions Using Time-Domain Simulation 12.1
... mehr
Finding the Eigenenergies and Eigenfunctions in One-Dimension 12.2 Finding the Eigenfunctions of Two-Dimensional 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
... weniger
Autoren-Porträt von Dennis M. Sullivan
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.
Bibliographische Angaben
- Autor: Dennis M. Sullivan
- 2011, 1. Auflage, 448 Seiten, Englisch
- Verlag: John Wiley & Sons
- ISBN-10: 1118169778
- ISBN-13: 9781118169773
- Erscheinungsdatum: 29.11.2011
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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