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

  • Hardback | 343 pages
  • 162.6 x 238.8 x 25.4mm | 612.36g
  • Taylor & Francis Inc
  • Washington, United States
  • English
  • 58 black & white illustrations, 18 black & white tables
  • 1584887524
  • 9781584887522

Table of contents

Preface THE FOUNDATIONS OF QUANTUM PHYSICS The Prelude to Quantum Mechanics Wave-Particle Duality and the Uncertainty Relation Fourier Transforms in Quantum Mechanics The Postulatory Basis of Quantum Mechanics Operators and the Mathematics of Quantum Mechanics Properties of Quantum Mechanical Systems THE SCHRODINGER EQUATION IN ONE DIMENSION The Free Particle One-Dimensional Harmonic Oscillator Time Evolution and Completeness Operator Method THE SCHRODINGER EQUATION IN THREE DIMENSIONS The Free Particle in Three Dimensions Particle in a Three-Dimensional Box The One-Electron Atom Central Potentials TOTAL ANGULAR MOMENTUM Orbital and Spin Angular Momentum Half-Integral Spin Angular Momentum Addition of Angular Momenta Interacting Spins for Two Particles APPROXIMATION METHODS Introduction - 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 Symmetry Spin-Orbit Coupling in Multielectron Atoms QUANTUM STATISTICS Derivation of the Three Quantum Distribution Laws Applications of the Quantum Distribution Laws BAND THEORY OF SOLIDS Periodic Potentials Periodic Potential - Kronig-Penney Model Impurities in Semiconductors Drift, Diffusion, and Recombination Semiconductor Devices EMISSION, ABSORPTION, AND LASERS Emission and Absorption of Photons Spontaneous Emission Stimulated Emission and Lasers SCATTERING THEORY Scattering in Three Dimensions Scattering and Inverse Scattering in One Dimension RELATIVISTIC QUANTUM MECHANICS AND PARTICLE THEORY Dirac Theory of the Electron Quantum Electrodynamics (QED) and Electroweak Theory Quarks, Leptons, and the Standard Model Appendix A: Matrix Operations Appendix B: Generating Functions Appendix C: Answers to Selected Problems Appendix D: The Fundamental Physical Constants, 1986 Bibliography Indexshow more