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Quantum Mechanics for Applied Physics and Engineering (Dover Books on Engineering)by Albert Tho Fromhold
Synopses & ReviewsPublisher Comments:For upperlevel undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solidstate theory. A heavy background in mathematics and physics is not required beyond basic courses in calculus, differential equations, and calculusbased elementary physics. Numerous problems (and selected answers), projects, exercises. Synopsis:For upperlevel 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 solidstate theory. With numerous problems (and selected answers), projects, and exercises. Description:Includes bibliographical references (p. 414415) and index.
Table of ContentsPreface
Acknowledgments PART I ELEMENTARY QUANTUM THEORY Chapter 1 An Introduction to Quantum Mechanics 1 WaveParticle 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 TimeDependent and TimeIndependent Schrödinger Wave Equations 7 WavePacket Solutions and the Uncertainty Relation 8 Expectation Values for QuantumMechanical Operators 9 Probability Current Density 10 Energy Levels and Density of States 11 Reflection and Transmission Coefficients for a Particle Beam at a PotentialEnergy Step Discontinuity and at a Rectangular Barrier 12 BoundState Problems Problems Answers to Multiple Choice Problems PART II QUANTUM STATISTICS OF MANYPARTICLE SYSTEMS; FORMULATION OF THE FREEELECTRON MODEL FOR METALS Chapter 2 ManyParticle Systems and Quantum Statistics 1 Wave Functions for a ManyParticle System 2 Statistics for a ManyParticle System Problems Chapter 3 FreeElectron Model and the Boltzmann Equation 1 FreeElectron 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 FermiDirac 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 MetalInsulatorMetal 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 NearlyFreeElectron Model" 1 StationaryState Perturbation Theory 2 Elementary Treatment of Diagonalization 3 HigherOrder Perturbations and Applications 4 Degenerate Case for SecondOrder Treatment 5 Removal of Degeneracy in Second Order 6 TimeDependent 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 NearlyFreeElectron Model 14 Differential Scattering Cross Section for PlaneWave 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 WignerSeitz 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 FreeElectron Model 7 Additional Properties of Bloch Functions 8 Energy Bands from the Viewpoint of the OneElectron Atomic Levels 9 "Energy Gaps and Energy Bands: Insulators, Semiconductors, and Metals" Problems "Appendix Physical Constants: Symbols, Units, and Values" References Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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