Quantum Mechanics : An Introduction book cover
1st Edition

Quantum Mechanics
An Introduction

ISBN 9781482255065
Published December 13, 2018 by CRC Press
568 Pages 26 B/W Illustrations

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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

1 Introduction

2 Two State Systems - The Ammonia Molecule

3 Quantum Mechanics of a Single Particle in One Dimensional Space I

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

5 The Harmonic Oscillator

6 Review of Linear Algebra and Dirac Notation

7 Rotation Invariance and the Hydrogen Atom

8 Scattering Electrons on a Nucleus

9 Charged Particles in a Magnetic Field

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

11 Sketch of Atomic, Molecular and Condensed Matter Physics

12 Quantum Statistical Mechanics

13 Perturbation Theory: Time Independent

14 Perturbation Theory: Time Dependent

15 The Adiabatic Approximation, Aharonov-Bohm and Berry Phases

16 Scattering Theory

17 The JWKB Approximation

18 The Variational Principle

19 The Feynman Path Integral

20 Quantum Computation?

21 L' Envoi : Relativistic Quantum Field Theory

22 Appendix A: Interpretations of QM

23 Appendix B : The Dirac Delta Function

24 Appendix C - Noether's Theorem

25 Appendix D : Group Theory

26 Appendix E: Laguerre Polynomials

27 Appendix F: Summary of Dirac Notation and Linear Algebra

28 Answers to Selected Problems

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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.


"This is an excellent textbook and an extremely useful reference. It addresses both simple and complex issues from a modern perspective, while being pedagogical and accessible. The author is an accomplished and famous researcher. Here he shares his deep insights about quantum mechanics in a very powerful and fresh way. Beginning students and senior scientists will benefit from it."
Nathan Seiberg, Professor, Institute for Advanced Study, Princeton, New Jersey

"Provides remarkable insights into technical aspects of the subject, but also into the most basic conceptual questions which trouble both new students and more mature researchers"
Michael Dine, Professor of Physics, University of California, Santa Cruz

"An excellent book"
Andreas Karch, Professor, University of Washington

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