1st Edition

Building Blocks of Quantum Mechanics Theory and Applications

By Tao Xiang Copyright 2022
    264 Pages 18 B/W Illustrations
    by CRC Press

    264 Pages 18 B/W Illustrations
    by CRC Press

    This textbook provides a concise yet comprehensive introduction to the principles, concepts, and methods of quantum mechanics. It covers the basic building blocks of quantum mechanics theory and applications, illuminated throughout by physical insights and examples of quantum mechanics, such as the one-dimensional eigen-problem, the harmonic oscillator, the Aharonov-Bohm effect, Landau levels, the hydrogen atom, the Landau-Zener transition and the Berry phase.

    This self-contained textbook is suitable for junior and senior undergraduate students, in addition to advanced students who have studied general physics (including classical mechanics, electromagnetics, and atomic physics), calculus, and linear algebra.

    Key features:

    • Presents an accessible and concise treatment of quantum mechanics
    • Contains a wealth of case studies and examples to illustrate concepts
    • Based off the author's established course and lecture notes

    Chapter 1. Introduction

    Chapter 2. One-dimensional Eigen-problem

    Chapter 3. Representation theory of quantum states

    Chapter 4. Harmonic Oscillators

    Chapter 5. Angular Momentum

    Chapter 6. Central Potential

    Chapter 7. Identical Particles

    Chapter 8. Symmetry and Conservation Law

    Chapter 9. Approximate methods

    Chapter 10. Quantum transition

    Chapter 11. Adiabatic and diabatic Evolution

    Chapter 12. Relativistic Quantum Mechanics.


    Tao Xiang is a Professor at the Institute of Physics, Chinese Academy of Sciences (CAS). He is an elected member of Chinese Academy of Sciences, fellow of the World Academy of Sciences, and fellow of American Physical Society. He received his bachelor’s degree in 1984 and master’s degree in 1986 from Tsinghua University, and PhD from the Institute of Theoretical Physics, CAS in 1990. He is currently the President of Beijing Academy of Quantum Information Sciences Director of the Quantum Computation Research Center of the Institute of Physics, and the Chief Editor of "Chinese Physics Letter". He served as the Director for the Key Laboratory of Condensed Matter Theory and Computation of CAS from 2010 to 2017, and the Director for the Division of Condensed Matter Theory and Statistical Physics of Chinese Physical Society from 2006 to 2010. He has received the Ho-Leung-Ho-Lee Prize for Scientific and Technological Progress, the Chi-Sun Yeh Prize of Chinese Physical Society, and a few other awards.