Type of Credit: Required
Credit(s)
Number of Students
本課程將引導學生學習量子理論的基本觀念及數學方法。
能力項目說明
目標：
(一)使學生認識微觀物質世界最重要的物理理論及其應用
(二)培養學生解析能力及相關數學的運用
(三)奠立學生修習本所其他課程及進一步於自然科學領域深造的物理基礎
學習成效：認識並掌握量子力學的觀念及必備的數學方法
|
Week |
Course Theme |
Content and Reading Assignment |
Estimated time devoted to coursework per week | |
|---|---|---|---|---|
| Lecture Hours | Preparation Time | |||
|
1-2
|
Fundamental Concepts
|
Mathematical introduction
(SHANKAR:ch1,ch4; SAKURAI:ch1)
|
3.0
|
6.0
|
|
3-4
|
Fundamental Concepts
|
Wave functions in position and momentum space
(SHANKAR:ch1; SAKURAI:ch1)
|
3.0
|
6.0
|
|
5
|
Fundamental Concepts
|
Postulates of quantum mechanics
(SHANKAR:ch4; SAKURAI:ch1)
|
3.0
|
6.0
|
|
6
|
Fundamental Concepts
|
The uncertainty principle
(SHANKAR:ch9; SAKURAI:ch1)
|
3.0
|
6.0
|
|
7
|
Time Evolution
|
Time-evolution operator
(SAKURAI:ch2)
|
3.0
|
6.0
|
|
8
|
Time Evolution
|
Schrödinger/Heisenberg pictures
(SAKURAI:ch2)
|
3.0
|
6.0
|
|
9
|
Time Evolution
|
Path integral formulation
(SAKURAI:ch8; SAKURAI:ch2)
|
3.0
|
6.0
|
|
10
|
Simple Problems
|
The harmonic oscillator
(SHANKAR:ch7)
|
3.0
|
6.0
|
|
11
|
Simple Problems
|
Periodic potential;
point charges in EM fileds
|
3.0
|
6.0
|
| 12 | Systems of N degrees of freedom |
Tensor product; Identical particles |
||
|
13 |
Angular Momentum |
Eigenvalues & eigenstates |
3.0 |
6.0 |
| 14 |
Angular Momentum |
Spin, Orbital angular momentum |
3.0 |
6.0 |
| 15 | Angular Momentum | Addition of angular momenta | 3.0 | 6.0 |