Building Blocks of Quantum Mechanics: Theory and Applications

by Tao Xiang

Overview

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

Product Details

ISBN-13:	9780367771508
Publisher:	CRC Press
Publication date:	05/13/2022
Pages:	264
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

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.

Table of Contents

1. Introduction. 2. One-dimensional Eigen-problem. 3. Representation Theory of Quantum States. 4. Harmonic Oscillators. 5. Angular Momentum. 6. Central Potential . 7. Identical Particles. 8. Symmetry and Conservation Law. 9. Approximate methods. 10. Quantum Transition. 11. Adiabatic and Diabatic Evolution. 12. Relativistic Quantum Mechanics.