Building Blocks of Quantum Mechanics Theory and Applications
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.
- 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.