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| Why Quantum Mechanics? | |
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| Newtonian Mechanics and Classical Electromagnetism | |
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| Newtonian Mechanics | |
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| Electromagnetism | |
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| Black Body Radiation | |
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| The Heat Capacity of Solids and the Photoelectric Effect | |
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| Photon Momentum and Compton Scattering Numerical Example | |
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| Wave Aspects of Particles Numerical Example | |
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| The Hydrogen Atom and the Bohr Model | |
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| Problems | |
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| Operators | |
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| Mathematical Properties of Operators | |
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| Definitions | |
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| The Eigenfunctions and Eigenvalues of Operators | |
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| Hermitian Operators | |
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| Orthogonality of the Eigenfunctions of a Hermitian Operator | |
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| Normalization of Eigenfunctions | |
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| Completeness of Eigenfunctions | |
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| Dirac Notation | |
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| Hermitian Adjoint Operators | |
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| Problems | |
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| The Basic Postulates of Quantum Mechanics | |
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| The Basic Postulates of Quantum Mechanics | |
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| The Average Value of an Observable | |
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| The Form of Quantum Mechanical Operators | |
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| The Commutation Relation for the Momentum and Position Operators. Commuting Operators and Their Eigenfunctions | |
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| The Significance of �(r) | |
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| The Eigenfunctions of the Energy Operators-The Schr�dinger Equation | |
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| The Uncertainty Principle | |
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| The Uncertainty Principle Applied to Electromagnetic Fields | |
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| Problems | |
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| One-Dimensional Energy Eigenvalue Problems | |
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| Infinite Potential Well | |
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| Finite Potential Well | |
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| Finite Potential Barrier | |
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| Physical Manifestation of Particles Tunneling: | |
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| � Decay of Nuclei | |
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| Tunneling in Solids | |
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| Problems | |
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| The Harmonic Oscillator | |
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| Parity | |
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| The Harmonic Oscillator | |
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| The Hermite Polynomials | |
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| The Harmonic Oscillator-Creation and Annihilation Operators | |
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| The Annihilation and Creation Operators | |
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| Problems | |
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| The Quantum Mechanics of Angular Momentum | |
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| The Angular Momentum Operators | |
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| The Eigenfunctions and Eigenvalues of l<sub>z</sub> | |
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| The Eigenfunctions and Eigenvalues of the Squared Magnitude of the Angular Momentum | |
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| The Normalization of Y<sub>l</sub><sup>m</sup>(�, �) | |
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| The Parity of Y<sub>l</sub><sup>m</sup> (�, �) | |
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| Problems | |
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| Particles in Spherical Symmetric Potential Fields and the Hydrogen Atom | |
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| A Particle in a Spherically Symmetric Potential Field | |
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| The Hydrogenic Atom | |
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| The Eigenvalues | |
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| The Normalization Constant | |
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| Nuclear Mass Correction of the Hydrogen Atom Problem | |
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| Recoil Energies and Doppler Shifts | |
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| Level Degeneracy | |
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| Linear Combination of Eigenfunction | |
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| Hybridized Wavefunctions and Molecular Bonding | |
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| Problems | |
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| Systems of Identical Particles | |
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| Systems of Two Electrons | |
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| The Helium Atom | |
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| The First-Order Correction to E<sub>0</sub> | |
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| The Excited States | |
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| Problems | |
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| Matrix Formulation of Quantum Mechanics | |
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| Some Basic Matrix Properties | |
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| The Unit Matrix | |
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| The Inverse Matrix | |
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| Hermitian Adjoint Matrices, Hermitian Matrices | |
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| Unitary Matrices | |
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| Transformation of a Square Matrix | |
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| Matrix Diagonalization | |
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| Representations of Operators as Matrices | |
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| A Unitary Transformation Matrix | |
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| Transformation of Operator Representations | |
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| Deriving the Eigenfunctions and Eigenvalues of an Operator by the Matrix Method | |
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| Matrix Elements of the Angular Momentum Operators | |
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| Spin Angular Momentum | |
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| Addition of Angular Momenta | |
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| Problems | |
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| The Time-Dependent Schr�dinger Equation | |
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| The Statistical Interpretation of �(r, t) | |
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| Expectation Values of Operators | |
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| Ehrenfest's Theorem | |
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| Problems | |
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| Perturbation Theory | |
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| Time-Independent Perturbation Theory | |
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| First-Order Perturbation | |
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| Second-Order Perturbation | |
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| Time-Dependent Perturbation Theory | |
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| Harmonic Perturbation | |
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| Step Function Perturbation | |
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| Limits of Validity of the Golden Rule | |
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| The Density Matrix Formalism | |
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| Problems | |
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| The Interaction of Electromagnetic Radiation with Atomic Systems | |
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| Some Basic Electromagnetic Background | |
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| The Energy of Electromagnetic Fields | |
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| Quantization of Electromagnetic Modes | |
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| Electromagnetic Creation and Annihilation Operators | |
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| Traveling Wave Quantization | |
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| Black-Body Radiation | |
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| Derivation of the Average Energy per Mode | |
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| Induced Transitions in Collision Dominated Atomic Systems | |
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| Spontaneous Transitions | |
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| Quantum Mechanical Derivation of the Spontaneous Transition Rate A | |
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| Problems | |
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| Absorption and Dispersion of Radiation in Atomic Media | |
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| The Time Evolution of a Collisionless Two-Level System | |
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| Absorption and Amplification in Atomic Systems | |
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| Electric Polarization, Susceptibility, and the Dielectric Constant | |
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| The Significance of �<sub>a</sub>(�) | |
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| Density Matrix Derivation of the Atomic Susceptibility | |
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| The Significance of �′(�) | |
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| Problems | |
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| Laser Oscillation | |
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| Laser Oscillation | |
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| The Fabry-Perot Laser | |
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| The Laser Oscillation Frequencies | |
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| The Ruby Laser | |
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| Summary | |
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| Problems | |
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| Quantum Statistics | |
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| The Three Types of Quantum Particles | |
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| The Counting Algebra for Quantum Systems | |
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| Identical but Distinguishable Particles | |
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| Identical Indistinguishable Particles of Half-Odd Integral Spin-Fermions | |
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| Identical, Indistinguishable Particles of Integral Spin-Bosons | |
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| The Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein Statistics | |
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| Case (A) Identical Distinguishable Particles | |
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| Case (B) Fermions | |
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| Case (C) Bosons | |
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| Systems with More than One Constituent | |
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| Evaluating the Parameter � in the Distribution Laws | |
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| Derivation of g<sub>s</sub> (15.38) | |
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| Problems | |
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| Some Specific Applications of the Statistical Distribution Laws | |
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| The Maxwell-Boltzmann Distribution | |
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| Fermi-Dirac Distribution | |
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| The Bose-Einstein Distribution | |
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| Problems | |
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| The Band Theory of Electrons in Crystals | |
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| The Kronig-Penney Model | |
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| The Multielectron Crystal | |
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| The Motion of Electrons in Crystals | |
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| The Control of Conductivity of Semiconductors by Impurities | |
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| Current Flow in Semiconductors | |
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| Problems | |
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| The Interaction of Electrons and Nuclei with Magnetic Fields. Magnetic Resonance. The Maser | |
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| Orbital Magnetic Moments | |
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| Numerical Example | |
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| Spin Angular Momentum | |
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| Nuclear Spins and Nuclear Magnetic Resonance | |
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| Hyperfine Interaction | |
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| The Hydrogen Maser | |
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| Electron Paramagnetic Resonance | |
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| Problems | |
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| Charge Transport in Semiconductors | |
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| Carriers in Intrinsic Semiconductors | |
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| Electron Density | |
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| The Density of Holes | |
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| Intrinsic Semiconductors | |
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| The Ionization Energy of Impurity Atoms | |
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| Carrier Concentration in Doped Semiconductors | |
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| "High" Temperature | |
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| "Low" Temperature | |
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| Scattering of Electrons in Semiconductor Crystals | |
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| Diffusion and Recombination | |
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| The Einstein Relation | |
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| Recombination of Electrons and Holes | |
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| The Carrier Transport Equation | |
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| Diffusion in a Semi-Infinite Slab | |
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| Problems | |
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| The p-n Semiconductor Junction. The p-n-p Junction Transistor | |
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| The Carrier and Potential Profiles in a p-n Junction | |
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| The Contact Potential � | |
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| The p-n Junction with an Applied Voltage | |
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| The Current Flow in p-n Junctions | |
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| Junction Fields and Capacitance | |
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| The p-n-p Junction Transistor | |
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| The Transistor Currents | |
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| Problems | |
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| The Semiconductor Injection Laser | |
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| Optical Absorption and Stimulated Emission in Semiconductors | |
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| Band-to-Band Transitions and Absorption in Semiconductors | |
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| Problems | |
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| Bibliography | |
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| Index | |