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Quantum Mechanics for Electrical Engineers

Cover Image Copyright Year: 2012
Author(s): Sullivan, D.
Publisher: Wiley-IEEE Press
Content Type : Books & eBooks
Topics: Components, Circuits, Devices & Systems ;  Engineered Materials, Dielectrics & Plasmas ;  Fields, Waves & Electromagnetics ;  Photonics & Electro-Optics
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Abstract

Explains quantum mechanics in language that electrical engineers understandAs 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:
The Schrödinger equation
Fourier theory in quantum mechanics
Matrix theory in quantum mechanics
An introduction to statistical mechanics
Transport in semiconductorsBecause 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 upper-level undergraduates and graduate students as well as professional electrical engineers who want to understand the semiconductors of today and the future.

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      Frontmatter

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.fmatter
      Page(s): i - xvii
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      The prelims comprise:
      Half Title
      IEEE Press Editorial Board
      Title
      Copyright
      Dedication
      Contents
      Preface
      Acknowledgments
      About the Author View full abstract»

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      Introduction

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch1
      Page(s): 1 - 25
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      Why Quantum Mechanics?
      Simulation of the One-Dimensional, Time-Dependent Schrödinger Equation
      Physical Parameters: The Observables
      The Potential V(x)
      Propagating through Potential Barriers
      Summary
      Exercises
      References View full abstract»

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      Stationary States

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch2
      Page(s): 27 - 49
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      The Infinite Well
      Eigenfunction Decomposition
      Periodic Boundary Conditions
      Eigenfunctions for Arbitrarily Shaped Potentials
      Coupled Wells
      Bra-ket Notation
      Summary
      Exercises
      References View full abstract»

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      Fourier Theory in Quantum Mechanics

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch3
      Page(s): 51 - 69
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      The Fourier Transform
      Fourier Analysis and Available States
      Uncertainty
      Transmission via FFT
      Summary
      Exercises
      References View full abstract»

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      Matrix Algebra in Quantum Mechanics

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch4
      Page(s): 71 - 90
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      Vector and Matrix Representation
      Matrix Representation of the Hamiltonian
      The Eigenspace Representation
      Formalism
      Appendix: Review of Matrix Algebra
      Exercises
      References View full abstract»

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      A Brief Introduction to Statistical Mechanics

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch5
      Page(s): 91 - 114
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      Density of States
      Probability Distributions
      The Equilibrium Distribution of Electrons and Holes
      The Electron Density and the Density Matrix
      Exercises
      References View full abstract»

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      Bands and Subbands

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch6
      Page(s): 115 - 129
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      Bands in Semiconductors
      The Effective Mass
      Modes (Subbands) in Quantum Structures
      Exercises
      References View full abstract»

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      The Schrödinger Equation for Spin-1/2 Fermions

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch7
      Page(s): 131 - 157
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      Spin in Fermions
      An Electron in a Magnetic Field
      A Charged Particle Moving in Combined E and B Fields
      The Hartree-Fock Approximation
      Exercises
      References View full abstract»

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      The Green's Function Formulation

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch8
      Page(s): 159 - 176
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      Introduction
      The Density Matrix and the Spectral Matrix
      The Matrix Version of the Green's Function
      The Self-Energy Matrix
      Exercises
      References View full abstract»

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      Transmission

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch9
      Page(s): 177 - 198
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      The Single-Energy Channel
      Current Flow
      The Transmission Matrix
      Conductance
      Büttiker Probes
      A Simulation Example
      Exercises
      References View full abstract»

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      Approximation Methods

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch10
      Page(s): 199 - 225
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      The Variational Method
      Nondegenerate Perturbation Theory
      Degenerate Perturbation Theory
      Time-Dependent Perturbation Theory
      Exercises
      References View full abstract»

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      The Harmonic Oscillator

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch11
      Page(s): 227 - 244
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      The Harmonic Oscillator in One Dimension
      The Coherent State of the Harmonic Oscillator
      The Two-Dimensional Harmonic Oscillator
      Exercises
      References View full abstract»

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      Finding Eigenfunctions Using Time-Domain Simulation

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.ch12
      Page(s): 245 - 259
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This chapter contains sections titled:
      Finding the Eigenenergies and Eigenfunctions in One Dimension
      Finding the Eigenfunctions of Two-Dimensional Structures
      Finding a Complete Set of Eigenfunctions
      Exercises
      References View full abstract»

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      Appendix A: Important Constants and Units

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.app1
      Page(s): 261 - 263
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

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      Appendix B: Fourier Analysis and the Fast Fourier Transform (FFT)

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.app2
      Page(s): 265 - 271
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This appendix contains sections titled:
      The Structure of the FFT
      Windowing
      FFT of the State Variable
      Exercise
      References View full abstract»

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      Appendix C: An Introduction to the Green's Function Method

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.app3
      Page(s): 273 - 279
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This appendix contains sections titled:
      A One-Dimensional Electromagnetic Cavity
      Exercises
      References View full abstract»

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      Appendix D: Listings of the Programs Used in this Book

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.app4
      Page(s): 281 - 418
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      This appendix contains sections titled:
      Chapter 1
      Chapter 2
      Chapter 3
      Chapter 4
      Chapter 5
      Chapter 6
      Chapter 7
      Chapter 8
      Chapter 9
      Chapter 10
      Chapter 11
      Chapter 12
      Appendix B View full abstract»

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      Index

      Sullivan, D.
      Quantum Mechanics for Electrical Engineers
      Digital Object Identifier: 10.1002/9781118169780.index
      Page(s): 419 - 429
      Copyright Year: 2012

      Wiley-IEEE Press eBook Chapters

      Save to Project icon | Click to expandQuick Abstract  | Full Text: PDF file icon PDF  

      No abstract. View full abstract»


ISBN : 9781118169780
Persistent Link: http://ieeexplore.ieee.org/servlet/opac?bknumber=6168881 More »


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