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課程名稱 |
量子力學一
QUANTUM MECHANICS (I) |
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開課學期 |
99-1 |
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授課對象 |
物理學研究所 |
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授課教師 |
管希聖 |
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課號 |
Phys7014 |
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課程識別碼 |
222 M1410 |
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班次 |
01 |
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學分 |
4 |
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全/半年 |
半年 |
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必/選修 |
必帶 |
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上課時間 |
星期二3,4(10:20~12:10)星期四3,4(10:20~12:10) |
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上課地點 |
新物111新物111 |
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備註 |
限非在職專班學生修習
限學號單號
總人數上限：60人
外系人數限制：10人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/991M1410 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
Quantum mechanics (QM) is a set of principles describing physical reality at small (atomic) scales. Quantum mechanics brings with it not only improved numerical predictions for the microscopic world, but also conceptual changes that rock the very foundations of classical thought. |
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課程目標 |
The objective of this course is to introduce you to this subject, starting from its postulates. The postulates, which mean those cannot be deduced from pure mathematical or logical reasoning, are then invoked to formulate and solve a variety of quantum mechanical problems and to interpret the results.
The course contents of QM(I) in this semester are:
1. Mathematical Introduction
2. Review of Classical Mechanics
3. All Is Not Well with Classical Mechanics
4. The Postulates of Quantum Mechanics
5. Simple Problems in One Dimension
6. The Classic Limit
7. The Harmonic Oscillator
8. The Path Integral Formulation of Quantum Mechanics
9. The Heisenberg Uncertainty Relations
10. Systems with N Degrees of Freedom
11. Symmetries and Their Consequences
12. Rotational Invariance and Angular Momentum
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課程要求 |
Quantum Physics,
Modern Physics,
Mathematical Physics.
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預期每週課後學習時數 |
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Office Hours |
另約時間 備註： Office Hours: By appointment. Appointments can be made through phone, email or in person. |
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指定閱讀 |
R. Shankar, Principles of QuantumMechanics, 2nd Ed., Plenum Press, New York, 1994.
http://books.google.com.tw/books?id=2zypV5EbKuIC&dq=principles+of+quantum+mechanics+shankar&printsec=frontcover&source=bn&hl=zh-TW&ei=3JqvStuGKIGK6AOp8ZHeDA&sa=X&oi=book_result&ct=result&resnum=4#v=onepage&q&f=true |
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參考書目 |
1. "Quantum Mechanics: Concepts and Applications" by Nouredine Zettili (Wiley;
2nd edition, 2009)
(The text is richly illustrated throughout with many worked examples and
numerous problems with step-by-step solutions designed to help the reader
master the machinery of quantum mechanics).
2. "Modern Quantum Mechanics" by J. J. Sakurai (Revised Edition)
3. More Quantum Mechanics books at Amazon.com:
http://www.amazon.com/
http://www.amazon.com/s/ref=nb_ss?url=search-alias%3Dstripbooks&field-keywords=quantum+mechanics
4. Free Quantum Mechanics ebooks:
http://www.freebookcentre.net/Physics/Quantum-Mechanics-Books.html.
5. Movies on Quantum Mechanics:
http://video.google.com/
Type in key words: Quantum Mechanics; Alternatively
http://www.google.com/search?q=quantum%20mechanics&tbs=vid:1
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Final examination |
40% |
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2. |
Mid-term examination |
30% |
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3. |
Homework/problem sets |
30% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/14,9/16 |
1. Mathematical Introduction |
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第2週 |
9/21,9/23 |
1. Mathematical Introduction/ 2. Review of Classical Mechanics |
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第3週 |
9/28,9/30 |
2. Review of Classical Mechanics / 3. All Is Not Well with Classical Mechanics |
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第4週 |
10/05,10/07 |
4. The Postulates of Quantum Mechanics |
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第5週 |
10/12,10/14 |
5. Simple Problems in One Dimension |
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第6週 |
10/19,10/21 |
5. Simple Problems in One Dimension/ 6. The Classic Limit |
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第7週 |
10/26,10/28 |
7. The Harmonic Oscillator |
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第8週 |
11/02,11/04 |
7. The Harmonic Oscillator / 8. The Path Integral Formulation of Quantum Mechanics |
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第9週 |
11/09,11/11 |
8. The Path Integral Formulation of Quantum Mechanics / Mid-term Exam |
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第10週 |
11/16,11/18 |
9. The Heisenberg Uncertainty Relations |
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第11週 |
11/23,11/25 |
10. Systems with N Degrees of Freedom |
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第12週 |
11/30,12/02 |
10. Systems with N Degrees of Freedom |
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第13週 |
12/07,12/09 |
11. Symmetries and Their Consequences |
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第14週 |
12/14,12/16 |
11. Symmetries and Their Consequences |
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第15週 |
12/21,12/23 |
12. Rotational Invariance and Angular Momentum |
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第16週 |
12/28,12/30 |
12. Rotational Invariance and Angular Momentum |
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第17週 |
1/04,1/06 |
12. Rotational Invariance and Angular Momentum |
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