國立中山大學103學年度第1學期量子力學（一）課程大綱

國立中山大學 103學年度第1學期課程教學大綱

National Sun Yat-sen University 103Academic year1st Semester Course syllabus

中文名稱
Course name(Chinese)

量子力學（一）

課號
Course Code

PHYS501

英文名稱
Course name(English)

QUANTUM MECHANICS (I)

課程類別
Type of the course

講授類

必選修
Required/Selected

選修

系所
Dept./faculty

物理學系碩士班

授課教師
Instructor

蔡民雄

學分
Credit

因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，授課方式調整如下：

尚未建立傳染性肺炎(武漢肺炎)授課方式調整

因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，評分方式調整如下：

尚未建立傳染性肺炎(武漢肺炎)課程評分方式﹝評分標準及比例﹞

課程大綱 Course syllabus

1. Free particle motion and wave packets
2. The Schrödinger equation and wave function
3. The principles of wave mechanics
4. The linear harmonic oscillator
5. Sectionally constant potentials in one dimension
6. Variational methods
7. Operators and the Heisenberg uncertainty relation
8. Angular momentum and spin
9. Spherically symmetric potential systems
10. The spin

課程目標 Objectives

使物理系研究生具備研究所需的量子力學基礎，以致能夠正確理解及解釋研究結果
To train graduate students in the Physics Department to have a sound quantum mechanics foundation needed in their physics researches, so that they are able to correctly understand and explain their research results.

授課方式 Teaching methods

Lecture

評分方式﹝評分標準及比例﹞Evaluation (Criteria and ratio)等第制單科成績對照表 letter grading reference

1.平時成績Homework：10%
2.期中考Midterm Exam：40%
3.期末考Final Exam：50%

參考書/教科書/閱讀文獻 Reference book/ textbook/ documents
〔請遵守智慧財產權觀念，不可非法影印。教師所提供之教材供學生本人自修學習使用,不得散播及做為商業用途〕
No copies for intellectual property rights. Textbooks provided by the instructor used only for self-study, can not broadcast or commercial use

序號	作者	書名	出版社	出版年	出版地	ISBN#
1	Eugen Merzbacher	1. Quantum Mechanics	John Wiley & Sons, Inc.	1998	U. S. A.
2	R. Shankar	2. Principles of Quantum Mechanics	Plenum Press	1980	New York and London

彈性暨自主學習規劃 Alternative learning periods

本門課程是否有規劃實施學生彈性或自主學習內容（每1學分2小時）

Is any alternative learning periods planned for this course (with each credit corresponding to two hours of activity)?

否：教師需於「每週課程內容及預計進度」填寫18週課程進度（每1學分18小時之正課內容）。
No：The instructor will include an 18-week course plan in the weekly scheduled progress (each credit corresponds to 18 hours of instruction)

是：教師需於「每週課程內容及預計進度」填寫16週課程內容（每1學分16小時之正課內容），並於下列欄位填寫每1學分2小時學生彈性或自主學習內容。
Yes：The instructor will include a 16-week course plan in the weekly scheduled progress (each credit corresponds to 16 hours of instruction);the details of the planned alternative learning periods are provided below (each credit corresponds to two hours of activity).

學生彈性或自主學習活動 Alternative learning periods	勾選或填寫規劃內容 Place a check in the appropriate box or provide details	時數 Number of hours
學生分組實作及討論 Group work and discussion
參與課程相關作業、作品、實驗 Participation in course-related assignments, work, or experiments
參與校內外活動（研習營、工作坊、參訪）或競賽 Participation in on- or off-campus activities (e.g., seminars, workshops, and visits) or competitions
課外閱讀 Extracurricular reading
線上數位教材學習 Learning with online digital learning materials
其他（請填寫規劃內容） Other (please provide details)

每週課程內容及預計進度 Weekly scheduled progress

週次	日期	授課內容及主題
1	2014/09/15~2014/09/21	Wave packets and the uncertainty relation, Motion of a wave packet, The wave equation for free particle motion
2	2014/09/22~2014/09/28	The wave equation and the interpretation of the wave function, Probabilities in coordinate and momentum space, Expectation values of dynamical variables
3	2014/09/29~2014/10/05	Commutators and operator algebra, The Virial Theorem
4	2014/10/06~2014/10/12	Hermitian operators and their eigenfunctions and eigenvalues, Completeness of eigenstates, Unitary operator
5	2014/10/13~2014/10/19	The charged particle in an external electromagnetic field, Eigenvalues and eigenfunctions of the linear harmonic oscillator
6	2014/10/20~2014/10/26	The potential step, The rectangular potential barrier, The square well
7	2014/10/27~2014/11/02	The calculus of variations in quantum mechanics, The Rayleigh-Ritz trial function
8	2014/11/03~2014/11/09	The Rayleigh-Ritz method with nonorthogonal basis function, The eigenvalue problem for normal operators
9	2014/11/10~2014/11/16	The calculation of eigenvalues and eigenvectors, Variational formulation of the eigenvalue problem
10	2014/11/17~2014/11/23	Midterm Exam
11	2014/11/24~2014/11/30	Commuting observables and simultaneous measurements, The Heisenberg uncertainty relations
12	2014/12/01~2014/12/07	Orbital angular momentum, Algebraic approach to the eigenvalue problem
13	2014/12/08~2014/12/14	Spherical harmonics, Angular momentum and kinetic energy
14	2014/12/15~2014/12/21	Reduction of the central-force problem The radial equation and the boundary conditions
15	2014/12/22~2014/12/28	The spherical square well potential, The Coulomb potential and the bound states
16	2014/12/29~2015/01/04	The quantum mechanical description of the spin
17	2015/01/05~2015/01/11	Spin and rotations
18	2015/01/12~2015/01/18	Final Exam

課業討論時間 Office hours

時段1:
時間：依規定免登
地點：依規定免登
時段2：
時間：依規定免登
地點：依規定免登

系所學生專業能力/全校學生基本素養與核心能力 basic disciplines and core capabilitics of the dcpartment and the university

系所學生專業能力/全校學生基本素養與核心能力

課堂活動與評量方式

本課程欲培養之能力與素養

紙筆考試或測驗

課堂討論︵含個案討論︶

個人書面報告、作業、作品、實驗

群組書面報告、作業、作品、實驗

個人口頭報告

群組口頭報告

課程規畫之校外參訪及實習

證照/檢定

參與課程規畫之校內外活動及競賽

課外閱讀

※系所所學生專業能力

1.具備高階科學學識

2.認識科學發展趨勢

3.具備分析及解決問題之能力

※全校學生基本素養與核心能力

1.表達與溝通能力。

2.探究與批判思考能力。

3.終身學習能力。

4.倫理與社會責任。

5.美感品味。

6.創造力。

7.全球視野。

8.合作與領導能力。

9.山海胸襟與自然情懷。

本課程與SDGs相關項目：The course relates to SDGs items:

尚未建立SDGS資料

本課程校外實習資訊: This course is relevant to internship:

本課程無註記包含校外實習