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Author:   Kevin L. Jensen (U.S. Naval Research Laboratory's (NRL); University of Maryland)
Publisher:   John Wiley & Sons Inc
Imprint:   John Wiley & Sons Inc
Dimensions:   Width: 18.30cm , Height: 2.50cm , Length: 25.70cm
Weight:   0.930kg
ISBN:  

9781394199556

ISBN 10:   1394199554
Pages:   384
Publication Date:   27 October 2025
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1 History 1.1 Discovery of the Electron 1.2 Thermal Emission 1.3 Field Emission 1.4 Photo Emission 1.5 Secondary Emission 1.6 Space Charge Limited Current 1.7 Units and Conventions 1.7.1 Hydrogen Atom Units 1.7.2 Electron Emission Units   2 Methods of Modern Physics 2.1 Electrostatics 2.1.1 Method of Images 2.1.2 Point Charge Models 2.1.3 Line Charge Models 2.2 Statistical Mechanics 2.2.1 Phase Space 2.2.2 Maxwell-Boltzmann Distribution 2.2.3 Quantum Distributions 2.2.4 Energy and Entropy 2.2.5 Richardson Equation 2.2.6 Fermi-Dirac Distribution . 2.2.7 Classical to Quantum Statistics 2.2.8 Electrons and White Dwarf Stars 2.3 Relativity 2.4 Quantum Mechanics 2.4.1 Representations 2.4.2 Schrödinger’s Equation 2.4.3 Eigenstates 2.4.4 Wave Packets 2.4.5 Tunneling 2.5 Many Body Physics 2.5.1 Kinetic Energy 2.5.2 Exchange Energy 2.5.3 Correlation Term 2.5.4 Core Term 2.6 Density Matrix 2.7 The Harmonic Oscillator 2.8 The Hydrogen Atom 2.9 The Metal Surface   3 Metals 3.1 Density of States 3.2 Spheres in Multi-dimensions 3.3 The Kronig Penny Model 3.4 Atomic Orbitals 3.5 Electronegativity 3.6 Sinusoidal Potential and Band Gap 3.7 Ion Potentials and Screening 3.7.1 Low Temperature / High Density 3.7.2 High Temperature / Low Density 3.7.3 Many Cores 3.8 Drude Model 3.9 Sommerfeld Model 3.9.1 Chemical Potential 3.9.2 Electron Density 3.10 Boltzmann’s Equation 3.11 Wigner Distribution Function 3.12 Continuity Equation 3.13 Exchange-Correlation and an Effective Barrier Model 3.13.1 Infinite Barrier 3.13.2 Infinite Well 3.13.3 A Triangular Well 3.14 An Analytic Image Charge Potential 3.14.1 Work Function and Temperature 3.14.2 Work Function and Field 3.14.3 Changes to Current Density   4 Semiconductors 4.1 Semiconductor Image Charge Potential 4.2 Dielectric Constant and Screening 4.3 Effective Mass 4.3.1 Dispersion Relations 4.3.2 The kp Method 4.3.3 Hyperbolic Relations 4.3.4 Current and Effective Mass 4.4 Resistivity 4.5 Electrons and Holes 4.6 Band Gap and Temperature 4.7 Doping of Semiconductors 4.7.1 Accumulation Layers 4.7.2 Depletion Layers   5 Canonical Emission Models 5.1 An Early Model of Electron Emission 5.2 Supply Function 5.3 Simple WKB Tunneling Model 5.4 Richardson-Laue-Dushman Equation 5.5 Fowler-Nordheim Equation 5.6 Fowler-Dubridge Equation 5.7 Baroody Equation 5.8 Child Langmuir Law 5.9 Contacts 5.9.1 Zener Breakdown 5.9.2 Poole-Frenkel Transport 5.9.3 Tunneling Conduction 5.9.4 Resonant Tunneling in Field Emission   6  Transport 6.1 Conductivity 6.1.1 Electrical Conductivity 6.1.2 Thermal Conductivity 6.1.3 The Lorentz Number for Metals 6.1.4 Deficiencies of the Drude Model 6.2 Scattering 6.2.1 Acoustic Scattering 6.2.2 Electron-Electron Scattering 6.2.3 Impurity Scattering 6.3 Metal-Insulator Transition 6.3.1 Weak Localization 6.3.2 Hall Angle   7 Tunneling and Transmission 7.1 Schrödinger’s Equation 7.1.1 Finite Difference Methods 7.1.2 JWKB Methods 7.1.3 Kemble Approximation 7.2 Shape Factor Method 7.2.1 Rectangular Barrier 7.2.2 Triangular Barrier 7.2.3 Quadratic Barrier 7.2.4 MIM Barrier 7.2.5 Schottky Nordheim Barrier 7.3 Transfer Matrix Approach 7.3.1 Plane Wave Transfer Matrix 7.3.2 Airy Function Transfer Matrix 7.3.3 Fowler Nordheim Equation 7.3.4 Resonance 7.3.5 Revised Gamow 7.3.6 Revised Kemble . 7.3.7 Schottky Deviations 7.3.8 Resonant Transmission 7.4 Tunneling Time 7.4.1 Buttiker-Landauer Model 7.4.2 Delay Time 7.4.3 Hartman Effect 7.4.4 Gaussian Wave Packet 7.4.5 Quantum Carpets 7.4.6 Transmission and Reflection Delay 7.5 Resonant Transmission 7.5.1 Schrödinger Approach 7.5.2 Bohm Approach 7.5.3 Wigner Distribution Function Approach 7.5.4 Time Evolution of Quantum Effects 7.6 Reflectionless Transmission 7.6.1 sech Well 7.6.2 Well-Barrier Model 7.6.3 Effective Barrier Model   8 A Thermal-Field-Photoemission Model 8.1 Experimental Energy Distribution 8.2 Anatomy of Current Density 8.2.1 Rectangular Barrier 8.2.2 Linear Barrier 8.2.3 Schottky-Nordheim Barrier 8.2.4 Gamow and Shape Factors 8.2.5 Transmission Probability 8.3 Current Density Integral 8.3.1 Experimental Thermal-Field Energy Distributions 8.3.2 Theoretical Thermal-Field Energy Distributions 8.3.3 The N-Function 8.4 General TFP Equation 8.4.1 Gamow and Energy Slope Factors 8.4.2 Original Model 8.4.3 Reformulated Model 8.5 Other Barriers 8.5.1 Metal-Insulator-Metal Barriers 8.5.2 Metal-Semiconductor Contacts 8.5.3 Nonlinear: Hemisphere 8.5.4 Nonlinear: Prolate Spheroidal   9 Mathematical Methods 9.1 Trigonometric Functions 9.2 Gamma Function 9.3 Riemann Zeta Function 9.4 Error Function 9.5 Legendre Polynomials 9.6 Lorentzian Functions 9.7 The Riemann Zeta Function 9.8 The Airy Function 9.9 Prolate Spheroidal Coordinates 9.10 Series 9.11 Integration 9.11.1 Series Summation 9.11.2 Series Expansion 9.11.3 Gaussian Quadrature 9.11.4 Sharply Peaked Integrands 9.11.5 Monte Carlo Integration 9.12 Differentiation 9.12.1 Orthogonal Coordinates 9.12.2 Radial Coordinates 9.12.3 Prolate Spheroidal Coordinates 9.12.4 Finite Difference Methods 9.13 Numerical Solution of an Ordinary Differential Equation 9.13.1 First Order 9.13.2 Second Order   10 Solutions to Select Problems

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Author Information

Kevin L. Jensen, PhD, was a research physicist in the Materials and Systems Branch, Materials Science and Technology Division at the Naval Research Laboratory in the United States until his retirement in 2023, and is now a Research Physicist at the Institute for Research in Electronics and Applied Physics at the University of Maryland. He is a Fellow of the American Physical Society, which recognized him for his contributions to the theory and modelling of electron emission sources or particle accelerators and microwave tubes, and a recipient of the Sigma Xi Applied Science Award for his work on electron emission.

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