ABSTRACT

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|18 pages

Introduction

chapter 2|28 pages

One-dimensional Eigen-problem

chapter 3|22 pages

Representation theory of quantum states

chapter 4|18 pages

Harmonic Oscillators

chapter 5|20 pages

Angular Momentum

chapter 6|24 pages

Central potential

chapter 7|20 pages

Identical Particles

chapter 8|18 pages

Symmetry and Conservation Law

chapter 9|18 pages

Approximate methods

chapter 10|16 pages

Quantum transition

chapter 11|18 pages

Adiabatic and diabatic Evolution

chapter 12|20 pages

Relativistic Quantum Mechanics