■課程目標(Course Objectives)
The fundamentals of quantum mechanics are introduced through a detailed discussion of the physics
of intrinsic spin. Such an approach has a number of significant advantages. First, students find starting a course with something new both interesting and exciting. Second, spin systems provide us with many beautiful but straightforward illustrations of the essential structure of quantum mechanics. Third,students will see that wave mechanics is only one aspect of quantum mechanics, not the fundamental
core of the subject. They see at an early stage that wave mechanics and matrix mechanics are just
different ways of calculating based on the same underlying quantum mechanics.
■課程內涵(Course Contents)
1. Stern-Gerlach Experiments
2. Rotation of Basis States and Matrix Mechanics
3. Angular Momentum
4. Time Evolution
5. A System of Two Spin-1/2 Particles
6. Wave Mechanics in One Dimension
7. The One-Dimensional Harmonic Oscillator
8. Path Integrals
9. Translational and Rotational Symmetry in the Two-Body Problem
10. Bound States of Central Potentials
11. Time-Independent Perturbations
12. Identical Particles
13. Scattering
14. Photons and Atoms

■Course Objectives
The fundamentals of quantum mechanics are introduced through a detailed discussion of the physics
of intrinsic spin. Such an approach has a number of significant advantages. First, students find starting a course with something new both interesting and exciting. Second, spin systems provide us with many beautiful but straightforward illustrations of the essential structure of quantum mechanics. Third,students will see that wave mechanics is only one aspect of quantum mechanics, not the fundamental
core of the subject. They see at an early stage that wave mechanics and matrix mechanics are just
different ways of calculating based on the same underlying quantum mechanics.
■Course Contents
1. Stern-Gerlach Experiments
2. Rotation of Basis States and Matrix Mechanics
3. Angular Momentum
4. Time Evolution
5. A System of Two Spin-1/2 Particles
6. Wave Mechanics in One Dimension
7. The One-Dimensional Harmonic Oscillator
8. Path Integrals
9. Translational and Rotational Symmetry in the Two-Body Problem
10. Bound States of Central Potentials
11. Time-Independent Perturbations
12. Identical Particles
13. Scattering
14. Photos and Atoms

※使學生熟悉基本的量子力學概念與數學方法，奠定學生瞭解近代物理，例如：固態物理、粒子物理、場論、原分子物理等之基礎。
※培養學生核心能力：
1.理解與運用物理、數學知識
2.數值計算與數據分析
3.陳述、分析與解決問題
5.產業相關知識與技能
※內容主題為：
1.Review of classical mechanics
2.Fundamental concepts
3.Quantum dynamics

※Let students be familiar with basic quantum mechanics concepts and mathematical methods, and lay the foundation for students to understand modern physics, such as solid physics, particle physics, theory, protomolecular physics, etc.
※Cultivate students' core abilities:
1. Understand and apply physics and mathematical knowledge
2. Numerical calculation and data analysis
3. Describe, analyze and solve problems
5. Industry-related knowledge and skills
※The content theme is:
1.Review of classical mechanics
2. Fundamental concepts
3. Quantum dynamics

Townsend, A Modern Approach to Quantum Mechanics, 2012, University Science Press

Townsend, A Modern Approach to Quantum Mechanics, 2012, University Science Press