1st Edition

Quantum Mechanics
An Introduction





ISBN 9780367780623
Published March 31, 2021 by CRC Press
568 Pages

USD $54.95

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Book Description

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.






 

Table of Contents



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

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Author(s)

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.

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