1st Edition

Quantum Mechanics An Introduction

By Thomas Banks Copyright 2019
    568 Pages
    by CRC Press

    568 Pages 26 B/W Illustrations
    by CRC Press

    This authoritative, advanced introduction provides a complete, modern perspective on quantum mechanics. It clarifies many common misconceptions regarding wave/particle duality and the correct interpretation of measurements. The author develops the text from the ground up, starting from the fundamentals and presenting information at an elementary level, avoiding unnecessarily detailed and complex derivations in favor of simple, clear explanations. He begins in the simplest context of a two-state system and shows why quantum mechanics is inevitable, and what its relationship is to classical mechanics. He also outlines the decoherence approach to interpreting quantum mechanics.





    Distinguishing features:









    • Provides a thorough grounding in the principles and practice of quantum mechanics, including a core understanding of the behavior of atoms, molecules, solids, and light.






    • Utilizes easy-to-follow examples and analogies to illustrate important concepts.






    • Helps develop an intuitive sense for the field, by guiding the reader to understand how the correct formulas reduce to the non-relativistic ones.






    • Includes numerous worked examples and problems for each chapter.






     



    PREFACE



    AUTHOR





    Chapter 1 Introduction



    Chapter 2 Two State Systems: The Ammonia Molecule



    Chapter 3 Quantum Mechanics of Single Particle in One-Dimensional Space I



    Chapter 4 Quantum Mechanics of a Single Particle in One-Dimensional Space II



    Chapter 5 The Harmonic Oscillator



    Chapter 6 Review of Linear Algebra and Dirac Notation



    Chapter 7 Rotation Invariance and the Hydrogen Atom



    Chapter 8 Scattering Electrons on a Nucleus



    Chapter 9 Charged Particles in a Magnetic Field



    Chapter 10 The Meaning of Quantum Measurement and the Emergence of a Classical Reality



    Chapter 11 Sketch of Atomic, Molecular, and Condensed Matter Physics



    Chapter 12 Quantum Statistical Mechanics



    Chapter 13 Perturbation Theory: Time Independent



    Chapter 14 Perturbation Theory: Time Dependent



    Chapter 15 The Adiabatic Approximation, Aharonov–Bohm, and Berry Phases



    Chapter 16 Scattering Theory



    Chapter 17 The JWKB Approximation



    Chapter 18 The Variational Principle



    Chapter 19 The Feynman Path Integral



    Chapter 20 Quantum Computation?



    Chapter 21 L’Envoi: Relativistic Quantum Field Theory





    Appendix A Interpretations of Quantum Mechanics



    Appendix B The Dirac Delta Function



    Appendix C Noether’s Theorem



    Appendix D Group Theory



    Appendix E Laguerre Polynomials



    Appendix F Summary of Dirac Notation and Linear Algebra



    Appendix G Answers to Selected Problems



    Bibliography



    Index

    Biography

    Thomas Banks is a theoretical physicist at University of California, Santa Cruz and a professor at Rutgers University. He earned his PhD in physics from the Massachusetts Institute of Technology, and has been a visiting scholar at the Institute for Advanced Study in Princeton, New Jersey. Professor Banks is the recipient of a Guggenheim Fellowship and is an elected member of the American Academy of Arts and Sciences.