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Introduction to Theory and Applications of Quantum Mechanics

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ISBN-10: 0486499863

ISBN-13: 9780486499864

Edition: 2013

Authors: Amnon Yariv

List price: $27.00
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Based on a Cal Tech course, this is an outstanding introduction to formal quantum mechanics for advanced undergraduates in applied physics. The treatment's exploration of a wide range of topics culminates in two eminently practical subjects, the semiconductor transistor and the laser. Each chapter concludes with a set of problems. 1982 edition.
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Book details

List price: $27.00
Copyright year: 2013
Publisher: Dover Publications, Incorporated
Publication date: 5/22/2013
Binding: Paperback
Pages: 320
Size: 5.98" wide x 9.02" long x 0.63" tall
Weight: 0.880
Language: English

Why Quantum Mechanics?
Newtonian Mechanics and Classical Electromagnetism
Newtonian Mechanics
Black Body Radiation
The Heat Capacity of Solids and the Photoelectric Effect
Photon Momentum and Compton Scattering Numerical Example
Wave Aspects of Particles Numerical Example
The Hydrogen Atom and the Bohr Model
Mathematical Properties of Operators
The Eigenfunctions and Eigenvalues of Operators
Hermitian Operators
Orthogonality of the Eigenfunctions of a Hermitian Operator
Normalization of Eigenfunctions
Completeness of Eigenfunctions
Dirac Notation
Hermitian Adjoint Operators
The Basic Postulates of Quantum Mechanics
The Basic Postulates of Quantum Mechanics
The Average Value of an Observable
The Form of Quantum Mechanical Operators
The Commutation Relation for the Momentum and Position Operators. Commuting Operators and Their Eigenfunctions
The Significance of �(r)
The Eigenfunctions of the Energy Operators-The Schr�dinger Equation
The Uncertainty Principle
The Uncertainty Principle Applied to Electromagnetic Fields
One-Dimensional Energy Eigenvalue Problems
Infinite Potential Well
Finite Potential Well
Finite Potential Barrier
Physical Manifestation of Particles Tunneling:
� Decay of Nuclei
Tunneling in Solids
The Harmonic Oscillator
The Harmonic Oscillator
The Hermite Polynomials
The Harmonic Oscillator-Creation and Annihilation Operators
The Annihilation and Creation Operators
The Quantum Mechanics of Angular Momentum
The Angular Momentum Operators
The Eigenfunctions and Eigenvalues of l<sub>z</sub>
The Eigenfunctions and Eigenvalues of the Squared Magnitude of the Angular Momentum
The Normalization of Y<sub>l</sub><sup>m</sup>(�, �)
The Parity of Y<sub>l</sub><sup>m</sup> (�, �)
Particles in Spherical Symmetric Potential Fields and the Hydrogen Atom
A Particle in a Spherically Symmetric Potential Field
The Hydrogenic Atom
The Eigenvalues
The Normalization Constant
Nuclear Mass Correction of the Hydrogen Atom Problem
Recoil Energies and Doppler Shifts
Level Degeneracy
Linear Combination of Eigenfunction
Hybridized Wavefunctions and Molecular Bonding
Systems of Identical Particles
Systems of Two Electrons
The Helium Atom
The First-Order Correction to E<sub>0</sub>
The Excited States
Matrix Formulation of Quantum Mechanics
Some Basic Matrix Properties
The Unit Matrix
The Inverse Matrix
Hermitian Adjoint Matrices, Hermitian Matrices
Unitary Matrices
Transformation of a Square Matrix
Matrix Diagonalization
Representations of Operators as Matrices
A Unitary Transformation Matrix
Transformation of Operator Representations
Deriving the Eigenfunctions and Eigenvalues of an Operator by the Matrix Method
Matrix Elements of the Angular Momentum Operators
Spin Angular Momentum
Addition of Angular Momenta
The Time-Dependent Schr�dinger Equation
The Statistical Interpretation of �(r, t)
Expectation Values of Operators
Ehrenfest's Theorem
Perturbation Theory
Time-Independent Perturbation Theory
First-Order Perturbation
Second-Order Perturbation
Time-Dependent Perturbation Theory
Harmonic Perturbation
Step Function Perturbation
Limits of Validity of the Golden Rule
The Density Matrix Formalism
The Interaction of Electromagnetic Radiation with Atomic Systems
Some Basic Electromagnetic Background
The Energy of Electromagnetic Fields
Quantization of Electromagnetic Modes
Electromagnetic Creation and Annihilation Operators
Traveling Wave Quantization
Black-Body Radiation
Derivation of the Average Energy per Mode
Induced Transitions in Collision Dominated Atomic Systems
Spontaneous Transitions
Quantum Mechanical Derivation of the Spontaneous Transition Rate A
Absorption and Dispersion of Radiation in Atomic Media
The Time Evolution of a Collisionless Two-Level System
Absorption and Amplification in Atomic Systems
Electric Polarization, Susceptibility, and the Dielectric Constant
The Significance of �<sub>a</sub>(�)
Density Matrix Derivation of the Atomic Susceptibility
The Significance of �&#8242;(�)
Laser Oscillation
Laser Oscillation
The Fabry-Perot Laser
The Laser Oscillation Frequencies
The Ruby Laser
Quantum Statistics
The Three Types of Quantum Particles
The Counting Algebra for Quantum Systems
Identical but Distinguishable Particles
Identical Indistinguishable Particles of Half-Odd Integral Spin-Fermions
Identical, Indistinguishable Particles of Integral Spin-Bosons
The Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein Statistics
Case (A) Identical Distinguishable Particles
Case (B) Fermions
Case (C) Bosons
Systems with More than One Constituent
Evaluating the Parameter � in the Distribution Laws
Derivation of g<sub>s</sub> (15.38)
Some Specific Applications of the Statistical Distribution Laws
The Maxwell-Boltzmann Distribution
Fermi-Dirac Distribution
The Bose-Einstein Distribution
The Band Theory of Electrons in Crystals
The Kronig-Penney Model
The Multielectron Crystal
The Motion of Electrons in Crystals
The Control of Conductivity of Semiconductors by Impurities
Current Flow in Semiconductors
The Interaction of Electrons and Nuclei with Magnetic Fields. Magnetic Resonance. The Maser
Orbital Magnetic Moments
Numerical Example
Spin Angular Momentum
Nuclear Spins and Nuclear Magnetic Resonance
Hyperfine Interaction
The Hydrogen Maser
Electron Paramagnetic Resonance
Charge Transport in Semiconductors
Carriers in Intrinsic Semiconductors
Electron Density
The Density of Holes
Intrinsic Semiconductors
The Ionization Energy of Impurity Atoms
Carrier Concentration in Doped Semiconductors
"High" Temperature
"Low" Temperature
Scattering of Electrons in Semiconductor Crystals
Diffusion and Recombination
The Einstein Relation
Recombination of Electrons and Holes
The Carrier Transport Equation
Diffusion in a Semi-Infinite Slab
The p-n Semiconductor Junction. The p-n-p Junction Transistor
The Carrier and Potential Profiles in a p-n Junction
The Contact Potential �
The p-n Junction with an Applied Voltage
The Current Flow in p-n Junctions
Junction Fields and Capacitance
The p-n-p Junction Transistor
The Transistor Currents
The Semiconductor Injection Laser
Optical Absorption and Stimulated Emission in Semiconductors
Band-to-Band Transitions and Absorption in Semiconductors