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.
- 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.
Table of Contents
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
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.