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課程名稱 |
量子力學一
Quantum Mechanics (Ⅰ) |
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開課學期 |
106-1 |
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授課對象 |
天文物理研究所 |
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授課教師 |
蔣正偉 |
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課號 |
Phys7014 |
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課程識別碼 |
222EM1410 |
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班次 |
02 |
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學分 |
4.0 |
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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 |
星期一3,4(10:20~12:10)星期三3,4(10:20~12:10) |
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上課地點 |
新物111新物111 |
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備註 |
本課程以英語授課。
限學號雙號
總人數上限：60人
外系人數限制：5人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1061Phys7014_02 |
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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 |
In this semester, we will cover basics of quantum mechanics. |
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課程目標 |
Get familiar with quantum mechanical concepts, Hilbert space, symmetry, angular momentum algebra, and proper treatment of identical particles. |
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課程要求 |
quantum physics, linear algebra, classical mechanics |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
J.J. Sakurai and Jim J. Napolitano, Modern Quantum Mechanics, 2nd Edition (Pearson Prentice Hall 2004) |
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參考書目 |
Eugen Merzbacher, Quantum Mechanics, 3rd Edition (Wiley 1997)
Ramamurti Shankar, Principles of Quantum Mechanics, 2nd Edition (Plenum Press 2008)
Steven Weinberg, Lectures on Quantum Mechanics, 2nd Edition (Cambridge University Press 2015) |
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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 |
9/11,9/13 |
Introduction of the Course
Quantum Logic and Stern-Gerlach Experiment |
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Week 2 |
9/18,9/20 |
Dirac Bra-Ket Notation
Operators and the Matrix Representations |
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Week 3 |
9/25,9/27 |
Example of Spin
Commutators, Function of Operators, Expectation Value |
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Week 4 |
10/02,10/04 |
Observables
10/04: Moon Festival |
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Week 5 |
10/09,10/11 |
10/09: Adjusted Holiday
Uncertainty Relations |
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Week 6 |
10/16,10/18 |
Quantization Conditions
Change of Representations |
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Week 7 |
10/23,10/25 |
Time-Evolution Operator and Schroedinger Equation
10/25 Mid-term Exam |
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Week 8 |
10/30,11/01 |
Stationary States, Correlation Amplitude
Heisenberg Picture and Heisenberg Equation of Motion |
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Week 9 |
11/06,11/08 |
Ehrenfest’s Theorem
Simple Harmonic Oscillator |
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Week 10 |
11/13,11/15 |
Time Evolution of SHO, Classical Limits
11/15: University Holiday |
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Week 11 |
11/20,11/22 |
Classical Limit
WKB Approximation |
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Week 12 |
11/27,11/29 |
Path Integral and Gauge Theory |
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Week 13 |
12/04,12/06 |
Gauge Theory
12/6: Mid-term exam |
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Week 14 |
12/11,12/13 |
Rotation and Spin Again
Angular Momenta |
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Week 15 |
12/18,12/20 |
Pure/Mixed Ensembles
Density Operator |
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Week 16 |
12/25,12/27 |
Orbital Angular Momentum
Addition of Angular Momentum |
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Week 17 |
1/01,1/03 |
1/01: National Holiday
Addition of Angular Momentum
CG Coefficients and Rotation Matrices |
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Week 18 |
1/08, 1/10 |
Tensor Operators
Final Exam |
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