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課程名稱 |
量子力學上(國際學程)
Quantum Mechanics (1)(tigp) |
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開課學期 |
108-1 |
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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 |
陳義裕 |
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課號 |
Phys8067 |
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課程識別碼 |
222ED5061 |
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班次 |
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學分 |
3.0 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期二2,3,4(9:10~12:10) |
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上課地點 |
新物517 |
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備註 |
本課程以英語授課。
總人數上限：20人
外系人數限制：2人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1081Phys8067_ |
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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 is offered exclusively to students officially enrolled in the Taiwan International Graduate Program (TIGP).
Due to the severe time constraint, it will be a brief and fast-paced introduction to some of the most important concepts of quantum mechanics. The students taking this course are expected to have been familiar with linear algebra and solving ordinary as well as partial differential equations that one encounters in undergraduate quantum physics course. |
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課程目標 |
After completing the course, the students will pick up certain working knowledge and techniques of quantum mechanics.
Tentative List of Content:
1. Formalism of Quantum Mechanics (Matrix Mechanics)
Vector space, dual space, Hilbert space, and the Dirac notation
Postulates of quantum mechanics
Schrodinger’s picture vs. Heisenberg’s picture
2. But where did “Matrix Mechanics” come from?
The old quantum theory
Heisenberg’s big idea
The canonical quantization condition
Generator of translation and the canonical quantization condition
From the canonical quantization condition to the uncertainty principle
3. Simple Harmonic Oscillator
Raising and lowering operators
The operator approach and solving Schrodinger’s equation
4. Angular Momentum
Angular momentum defined via rotations of a system
The ladder-operators trick
Spin angular momentum
Addition of angular momenta
5. Identical Particles
The symmetrization postulates
6. Time-Independent Perturbation Theory
Non-degenerate vs. degenerate perturbation theory
Variational principle
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課程要求 |
Grading Policy:
1. One Midterm 40%: To be held around Tuesday, December 10, 2019, depending on our pace.
2. Homework 60%. No late homework accepted.
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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指定閱讀 |
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參考書目 |
1. Introduction to Quantum Mechanics, David J. Griffiths, 2nd ed, Pearson (2004).
2. Principles of Quantum Mechanics, R. Shankar, 2nd ed, Springer (1994).
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評量方式
(僅供參考) |
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