Quantum Mechanics

Quantum Mechanics : Foundations and Applications

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Progressing from the fundamentals of quantum mechanics (QM) to more complicated topics, Quantum Mechanics: Foundations and Applications provides advanced undergraduate and graduate students with a comprehensive examination of many applications that pertain to modern physics and engineering.Based on courses taught by the author, this textbook begins with an introductory chapter that reviews historical landmarks, discusses classical theory, and establishes a set of postulates. The next chapter demonstrates how to find the appropriate wave functions for a variety of physical systems in one dimension by solving the Schrodinger equation where for time-independent cases, the total energy is an eigenvalue. The following chapter extends this method to three dimensions, focusing on partial differential equations. In subsequent chapters, the author develops the appropriate operators, eigenvalues, and eigenfunctions for angular momentum as well as methods for examining time-dependent systems. The final chapters address special systems of interest, such as lasers, quarks, and hadrons. Appendices offer additional material, exploring matrices, functions, and physical constants.Relating theory with experiment, Quantum Mechanics: Foundations and Applications provides both basic and complex information for junior- and senior-level physics and engineering students.show more

Product details

  • Electronic book text | 343 pages
  • Taylor & Francis Inc
  • CRC Press Inc
  • Florida, United States
  • 18 Tables, black and white; 58 Illustrations, black and white
  • 1584887532
  • 9781584887539

Table of contents

PrefaceTHE FOUNDATIONS OF QUANTUM PHYSICS The Prelude to Quantum Mechanics Wave-Particle Duality and the Uncertainty Relation Fourier Transforms in Quantum MechanicsThe Postulatory Basis of Quantum MechanicsOperators and the Mathematics of Quantum MechanicsProperties of Quantum Mechanical SystemsTHE SCHROEDINGER EQUATION IN ONE DIMENSION The Free ParticleOne-Dimensional Harmonic OscillatorTime Evolution and CompletenessOperator MethodTHE SCHROEDINGER EQUATION IN THREE DIMENSIONS The Free Particle in Three DimensionsParticle in a Three-Dimensional BoxThe One-Electron AtomCentral PotentialsTOTAL ANGULAR MOMENTUM Orbital and Spin Angular Momentum Half-Integral Spin Angular Momentum Addition of Angular MomentaInteracting Spins for Two ParticlesAPPROXIMATION METHODSIntroduction - The Many-Electron Atom Nondegenerate Perturbation Theory Perturbation Theory for Degenerate States Time-Dependent Perturbation Theory The Variational Method Wentzel, Kramers, and Brillouin Theory (WKB)ATOMIC SPECTROSCOPY Effects of SymmetrySpin-Orbit Coupling in Multielectron Atoms QUANTUM STATISTICS Derivation of the Three Quantum Distribution LawsApplications of the Quantum Distribution LawsBAND THEORY OF SOLIDS Periodic Potentials Periodic Potential - Kronig-Penney ModelImpurities in Semiconductors Drift, Diffusion, and RecombinationSemiconductor DevicesEMISSION, ABSORPTION, AND LASERSEmission and Absorption of Photons Spontaneous EmissionStimulated Emission and LasersSCATTERING THEORY Scattering in Three Dimensions Scattering and Inverse Scattering in One DimensionRELATIVISTIC QUANTUM MECHANICS AND PARTICLE THEORYDirac Theory of the ElectronQuantum Electrodynamics (QED) and Electroweak TheoryQuarks, Leptons, and the Standard ModelAppendix A: Matrix OperationsAppendix B: Generating FunctionsAppendix C: Answers to Selected ProblemsAppendix D: The Fundamental Physical Constants, 1986Bibliography Indexshow more