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1 Hawthorne Physics- General

Quantum Mechanics for Applied Physics and Engineering (Dover Books on Engineering)

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Quantum Mechanics for Applied Physics and Engineering (Dover Books on Engineering) Cover

 

Synopses & Reviews

Publisher Comments:

For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solid-state theory. A heavy background in mathematics and physics is not required beyond basic courses in calculus, differential equations, and calculus-based elementary physics. Numerous problems (and selected answers), projects, exercises.

Synopsis:

For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing those aspects of quantum mechanics and quantum statistics essential to an understanding of solid-state theory. With numerous problems (and selected answers), projects, and exercises.

Description:

Includes bibliographical references (p. 414-415) and index.

Table of Contents

Preface

Acknowledgments

PART I ELEMENTARY QUANTUM THEORY

  Chapter 1 An Introduction to Quantum Mechanics

  1 Wave-Particle Duality

  2 Classical Wave Motion

  3 Periodic Boundary Conditions and Complex Fourier Components

  4 Fourier Series and Fourier Integrals

  5 Wave Nature of Particles

  6 Development of the Time-Dependent and Time-Independent Schrödinger Wave Equations

  7 Wave-Packet Solutions and the Uncertainty Relation

  8 Expectation Values for Quantum-Mechanical Operators

  9 Probability Current Density

  10 Energy Levels and Density of States

  11 Reflection and Transmission Coefficients for a Particle Beam at a Potential-Energy Step Discontinuity and at a Rectangular Barrier

  12 Bound-State Problems

    Problems

    Answers to Multiple Choice Problems

PART II QUANTUM STATISTICS OF MANY-PARTICLE SYSTEMS; FORMULATION OF THE FREE-ELECTRON MODEL FOR METALS

  Chapter 2 Many-Particle Systems and Quantum Statistics

  1 Wave Functions for a Many-Particle System

  2 Statistics for a Many-Particle System

    Problems

  Chapter 3 Free-Electron Model and the Boltzmann Equation

  1 Free-Electron Gas in Three Dimensions

  2 Electronic Specific Heat

  3 Electrical Conductivity and the Derivation of Ohm's Law

  4 Thermal Electron Emission from Metals

  5 General Method for Evaluating Statistical Quantities Involving Fermi-Dirac Statistics

  6 The Temperature Dependence of the Fermi Energy and Other Applications of the General Approximation Technique

  7 The Boltzmann Equation

    Problems

PART III APPROXIMATION TECHNIQUES FOR THE SCHRÖDINGER EQUATION

  Chapter 4 The WKB Approximation and Electron Tunneling

  1 Development of the WKB Approximation

  2 Application of the WKB Technique to Barrier Penetration

  3 Tunneling in Metal-Insulator-Metal Structures

  4 Tunnel Current at 0ºK between Two Metals Separated by a Rectangular Barrier

  5 Tunnel Current at 0ºK for Barriers of Arbitrary Shape

  6 Temperature Dependence of the Electron Tunnel Current

  7 Applications of Electron Tunneling

  "Chapter 5 Perturbation Theory, Diffraction of Valence Electrons, and the Nearly-Free-Electron Model"

  1 Stationary-State Perturbation Theory

  2 Elementary Treatment of Diagonalization

  3 Higher-Order Perturbations and Applications

  4 Degenerate Case for Second-Order Treatment

  5 Removal of Degeneracy in Second Order

  6 Time-Dependent Perturbation Theory

  7 Example: Harmonic Perturbation

  8 Example: Constant Perturbation in First Order

  9 Example: Constant Perturbation in Second Order

  10 Transition Probability and Fermi's Golden Rule

  11 Differential Cross Section for Scattering

  12 Diffraction of Electrons by the Periodic Potential of a Crystal

  13 Diffraction of Conduction Electrons and the Nearly-Free-Electron Model

  14 Differential Scattering Cross Section for Plane-Wave States and a Coulomb Potential

    Problems

PART IV ENERGY BANDS IN CRYSTALS

  Chapter 6 The Periodicity of Crystalline Solids

  1 Generalities

  2 Unit Cells and Bravais Lattices

  3 Miller Indices and Crystal Directions

  4 Some Specific Crystal Structures

  5 Crystal Bonding

  6 The Reciprocal Lattice: Fourier Space for Arbitrary Functions That Have the Lattice Periodicity

  7 Wigner-Seitz Cell

  8 First Brillouin Zone

  9 Higher Brillouin Zones

    Problems

  Chapter 7 Bloch's Theorem and Energy Bands for a Periodic Potential

  1 Fourier Series Expansions for Arbitary Functions of Position within the Crystal

  2 The Periodic Potential Characteristic of the Perfect Monocrystal

  3 The Hamiltonian for an Electron in a Periodic Potential

  4 Fourier Series Derivation of Bloch's Theorem

  5 Properties of Bloch Functions

  6 Correspondence with the Free-Electron Model

  7 Additional Properties of Bloch Functions

  8 Energy Bands from the Viewpoint of the One-Electron Atomic Levels

  9 "Energy Gaps and Energy Bands: Insulators, Semiconductors, and Metals"

    Problems

"Appendix Physical Constants: Symbols, Units, and Values"

References

Index

Product Details

ISBN:
9780486667416
Author:
Fromhold, Albert T.
Author:
Fromhold, A. T.
Author:
Fromhold, Albert T.
Author:
Engineering
Publisher:
Dover Publications
Location:
New York :
Subject:
Science
Subject:
Physics
Subject:
Engineering - Civil
Subject:
Engineering
Subject:
Quantum Theory
Subject:
Mathematical Physics
Subject:
Civil
Subject:
Schrodinger equation solutions
Subject:
basic quantum mechanics
Subject:
Physics-Quantum Mechanics
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Series Volume:
v. 9
Publication Date:
20111231
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
448
Dimensions:
9.25 x 6.13 in 1.39 pd

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Related Subjects

Engineering » Civil Engineering » General
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Quantum Mechanics

Quantum Mechanics for Applied Physics and Engineering (Dover Books on Engineering) Used Trade Paper
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Product details 448 pages Dover Publications - English 9780486667416 Reviews:
"Synopsis" by ,
For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing those aspects of quantum mechanics and quantum statistics essential to an understanding of solid-state theory. With numerous problems (and selected answers), projects, and exercises.
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