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課程名稱 |
量子力學三
Quantum Mechanics (Ⅲ) |
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開課學期 |
112-1 |
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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 |
侯維恕 |
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課號 |
Phys8011 |
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課程識別碼 |
222 D1430 |
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班次 |
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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716新物716 |
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備註 |
總人數上限：20人 |
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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 |
量子力學三 |
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課程目標 |
We will cover Advanced Quantum Mechanics by J.J. Sakurai (1967). While QM textbooks are many, but just as Jackson is the "classic" for Classical Electrodynamics, and Goldstein is the "classic" for Classical Mechanics, where both are still in use, the AQM book by Sakurai is a classic. What is less known is that Electrodynamics, or Maxwell theory, as well as Classical Mechanics, or Action Principle and Hamilton-Jacobi theory, was not changed by the advent of QM. What QM added is that Action has a minimal unit, hence discrete.
This course aims at the synthesis of Classical Mechanics, Electrodynamics and Quantum Mechanics, with only a tiny touch on Statistical Mechanics. We would first review classical fields (Chapter 1), then see how the photon emerges when we apply the Quantum of Action to Electrodynamics, applying generalized coordinates from Classical Mechanics. We then apply this to Quantum Radiation (Chapter 2), and derive all the widely known phenomena, such as Raleigh and Thomson scatterings. Moving away from nonrelativistic systems, such as the atom, we cover Dirac equation and Relativistic Quantum Mechanics (Chapter 3), then move on to cover Covariant Perturbation Theory (Chapter 4), as far as we can get.
N.B. This is not a course on Field Theory, and not QED, but a synthesis of QM, CM & CED. |
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課程要求 |
attendance, homework, midterm and final exams (these would be take-home).
it is preferable that the students have taken 四大力學 already, including classical radiation theory (電力二). |
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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 |
Advanced Quantum Mechanics (1967), by J.J. Sakurai |
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參考書目 |
Advanced Quantum Mechanics, by F. Schwabl |
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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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第1週 |
9/4, 6 |
Why/What's AQM; 1-1 Particle & Fields; 1-2 Mech. example; 1-3 Scalar field & Lor. inv.; KG eq., range, charged scalar; 1-4 Class. EM field, F_munu/dual, gau. trx., Lor. cond.; 1-5 A-B effect of A_mu in QM |
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第2週 |
9/11, 13 |
9/13 不上課 |
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第6週 |
10/9, 11 |
10/9 放假 [9/23 週六補課Saturday makeup]
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第8週 |
10/23, 25 |
本週不上課 |
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第11週 |
11/13, 15 |
11/15校慶，但要上課 |
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第12週 |
11/20, 22 |
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第13週 |
11/27, 29 |
本週 不上課 |
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第16週 |
12/18, 20 |
補課備用 |
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第17週 |
12/25, 27 |
補課備用 |
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