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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 ï¿½(r) | |

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The Eigenfunctions of the Energy Operators-The Schrï¿½dinger 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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ï¿½ 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>(ï¿½, ï¿½) | |

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The Parity of Y<sub>l</sub><sup>m</sup> (ï¿½, ï¿½) | |

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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 Schrï¿½dinger Equation | |

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The Statistical Interpretation of ï¿½(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 ï¿½<sub>a</sub>(ï¿½) | |

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Density Matrix Derivation of the Atomic Susceptibility | |

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The Significance of ï¿½′(ï¿½) | |

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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 ï¿½ 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 ï¿½ | |

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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 | |