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課程名稱 |
古典力學
Classical Mechanics |
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開課學期 |
105-1 |
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授課對象 |
理學院 物理學研究所 |
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授課教師 |
細道和夫 |
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課號 |
Phys7019 |
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課程識別碼 |
222EM1940 |
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班次 |
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學分 |
4 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二9,10(16:30~18:20)星期四9,10(16:30~18:20) |
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上課地點 |
新物111新物111 |
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備註 |
本課程以英語授課。
總人數上限：90人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1051Phys7019_CM |
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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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課程概述 |
This course introduces basic principles of classical mechanics using the standard textbook by Goldstein-Poole-Safko. It starts with Newton's law and covers variational principle, canonical formalism and Hamilton-Jacobi theory. Important applications to the problems of central force, rigid body, oscillation will be discussed in detail. It also covers special relativity and an introduction to field theory.
1 Survey of elementary principles
2 Variational principles and Lagrange's equations
3 The central force problem
4 Kinematics of rigid body motion
5 Rigid body equation of motion
6 Oscillations
7 Special theory of relativity
8 The Hamilton equations of motion
9 Canonical Transformations
10 Hamilton-Jacobi theory, Action angle variables
11 (skipped) classical chaos
12 Canonical perturbation theory
13 Continuous systems and fields |
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課程目標 |
Classical Mechanics affords students an opportunity to realize the structure of physics, master the tehcniques of derivation and offers solid training on problem-solving. It can also serve as a springboard for advanced study modern physics and field theory. |
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課程要求 |
N/A |
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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： TA office hours. Thursdays 13:30 -- 15:30, appointment required |
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指定閱讀 |
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參考書目 |
main reference:
Classical Mechanics, third edition, by Goldstein, Poole and Safko.
other standard textbooks:
The Classical Theory of Fields, by L. D. Landau and E. M. Lifshitz.
Classical Field Theory, electromagnetism and gravitation, by Francis E. Low. |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
9/13,9/15 |
Survey of elementary principles |
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Week 2 |
9/20,9/22 |
Survey of elementary principles / Variational principle |
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Week 3 |
9/27,9/29 |
Variational principle
* no classes on Tuesday 9/27 |
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Week 4 |
10/04,10/06 |
The central force problem |
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Week 5 |
10/11,10/13 |
The central force problem / Kinematics of rigid body motion |
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Week 6 |
10/18,10/20 |
Kinematics of rigid body motion / Rigid body equation of motion |
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Week 7 |
10/25,10/27 |
Rigid body equation of motion |
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Week 8 |
11/01,11/03 |
Oscillations |
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Week 9 |
11/08,11/10 |
Special Theory of Relativity
mid-term exam: Thursday 10 Nov |
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Week 10 |
11/15,11/17 |
Special Theory of Relativity
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Week 11 |
11/22,11/24 |
Special Theory of Relativity / The Hamiltonian equation of motion |
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Week 12 |
11/29,12/01 |
The Hamiltonian equation of motion / Canonical transformations |
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Week 13 |
12/06,12/08 |
Canonical transformations |
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Week 14 |
12/13,12/15 |
Hamilton-Jacobi theory, Action angle variables |
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Week 15 |
12/20,12/22 |
Hamilton-Jacobi theory, Action angle variables / Canonical Perturbation Theory |
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Week 16 |
12/27,12/29 |
Canonical Perturbation Theory / Continuous systems and fields |
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Week 17 |
1/03 |
Continuous systems and fields
(no classes on 1/05) |
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Week 18 |
1/12 |
final exam : 1/12 (changed) |
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