Introduction to Quantum Mechanics - 107 Academic Year
本課程是由 國立陽明交通大學電機工程學系 提供。
This course will introduce the basic concepts and classical examples of quantum mechanics. The formulation of quantum mechanics as well as the hydrogen atom, angular momentum, and spin will also be introduced. Exchange symmetry and perturbation method are to be covered if time allowed.
Textbook：
David J. Griffith “Introduction to Quantum Mechanics”, 2nd Ed., Pearson Education Inc. 2005
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| Instructor(s) | College of Electrical and Computer Engineering Prof. Sheng-Di Lin |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 107 Academic Year |
| Level | College Students |
| Prior Knowledge | Engineering Mathematics / Modern Physics / Electromagnetism |
| Related Resources | Course Video Course Syllabus Course Calendar |
| Week | Course Content | Course Video |
|---|---|---|
| Ch.1 The wave function Introduction | Watch Online | |
| Ch.1 The wave function 1- 1 The Schrödinger eq. ~ 1-3.1 The probability of discrete variables | Watch Online | |
| Ch.1 The wave function 1-3.2 The probability of continuous variables ~ 1-6 The uncertainty principle | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 2-1 stationary state | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 2-2 The infinite square well | Watch Online | |
| Ch.2 Time-independent Schrödinger equation A little review for 2-2 2-3 The harmonic oscillator | Watch Online | |
| Ch.2 Time-independent Schrödinger equation The Harmonic Oscillator | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 老師補充 | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 同學報告 | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 2-4 The free particle | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 同學報告 | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 老師補充 | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 2-5 Delta function 2-6 Finite potential | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 2-6 Finite potential | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 同學報告+老師補充 | Watch Online | |
| Ch.2 Time-independent Schrödinger equation 同學報告 | Watch Online | |
| Ch.3 Formalism 3-1 Hilbert space ~ 3-3 Eigenfunctions of a Hermitian operator (Part 1) | Watch Online | |
| Ch.3 Formalism 3-3 Eigenfunctions of a Hermitian operator（Part 2） 3-4 generalized statistical interpretation | Watch Online | |
| Ch.3 Formalism 同學報告 | Watch Online | |
| Ch.3 Formalism The energy-time uncertainty principle (同學報告) | Watch Online | |
| Ch.3 Formalism 3-6 Dirac notation | Watch Online | |
| Ch.3 Formalism Additional (uncertainty principle & S.H.O. in matrix) | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions 4-1.1 Quantum mechanics in three dimensions | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions 4-1 Schrodinger eq. in spherical coordinates | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions Infinite spherical well(同學報告) | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions Infinite spherical well(老師補充 ) | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions 4-2 The radial wave function of the hydrogen atom | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions 4-3 Angular momentum | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions Angular momentum of eigenfunction ( Spherical Harmonic) | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions 4.3 Angular momentum | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions 4-4.1 Spin 1/2 | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions 4-4.2 Spin 1/2 for electrons in magnetic field | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions the stern -Gerlach Experiment (同學報告+老師補充) | Watch Online | |
| Ch.4 Quantum mechanics in three dimensions addition of angular momentum | Watch Online | |
| Ch.5 Identical particles Lorentz force in quantum mechanics(同學報告) | Watch Online | |
| Ch.5 Identical particles 5-1 two-particle system | Watch Online | |
| Ch.5 Identical particles 5-1.2 exchange force | Watch Online | |
| Ch.5 Identical particles 5-2.1 Helium-atom 6.1. nondegenerate perturbation theory | Watch Online | |
| Ch.5 Identical particles 6- 2. degenerate perturbation theory | Watch Online |
課程目標
This course will introduce the basic concepts and classical examples of quantum mechanics. The formulation of quantum mechanics as well as the hydrogen atom, angular momentum, and spin will also be introduced. Exchange symmetry and perturbation method are to be covered if time allowed.
電子研究所希望培育學生具備十項核心能力及三項基本素養(請參官網http://www.ee.nctu.edu.tw首頁之【學術研究】→【IEET】內容。
※本課程將培育學生具備下述幾項核心能力：
1.1 固態電子或電路系統相關專業知識之能力
1.2 固態電子或電路系統之設計、實驗及分析數據之能力，並具有發掘、分析、獨立解決問題及創新思考的能力
1.3 使用電腦輔助軟體、儀器等工具的能力
※本課程將培育學生具備下述幾項基本素養：
1 養成學生具備電子工程基礎與專業知識，並配合實作，達到理論與實務相結合之目的。使學生具備推論、分析、創新及整合能力。
課程章節
| 單元主題 | 內容綱要 |
| Wave function | Introduction of Schoedinger equation and wave functions |
| Time-independent Schoedinger equation | Classical examples for time-independent solutions |
| Formulation of quantum mechanics | Short introduction to linear algebra to be used and the formulation of QM |
| 3-D quantum mechanics | Hydrogen atom solution, and angular momentun and spin |
| Identical particles | exchange symmetry and its impact to various systems and quantum statistics |
課程書目
David J. Griffith “Introduction to Quantum Mechanics”, 2nd Ed., Pearson Education Inc. 2005
評分標準
| 項目 | 百分比 |
| Midterm | 40% |
| Final Exams | 40% |
| Team Report | 20% |
本課程行事曆提供課程進度與考試資訊參考。
章節 | 上課日期 | 參考課程進度 |
Ch.1 The wave function | 2018/09/11 | Introduction |
| 2018/09/14 | 1- 1 The Schrödinger eq. ~ 1-3.1 The probability of discrete variables | |
| 2018/09/18 |
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| Ch.2 Time-independent Schrödinger equation | 2018/09/21 |
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| 2018/09/25 |
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| 2018/09/28 |
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| 2018/10/02 |
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| 2018/10/05 |
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| 2018/10/09 |
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| 2018/10/12 |
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| 2018/10/16 |
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| 2018/10/19 |
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| 2018/10/23 |
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| Ch.3 Formalism | 2018/10/26 |
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| 2018/10/30 |
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| 2018/11/02 |
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| 2018/11/06 |
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| 2018/11/09 |
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| Ch.4 Quantum mechanics in three dimensions | 2018/11/16 | 4-1.1 Quantum mechanics in three dimensions |
| 2018/11/20 | 4-1 Schrodinger eq. in spherical coordinates | |
| 2018/11/23 | Infinite spherical well(同學報告+老師補充) | |
| 2018/11/27 | 4-2 The radial wave function of the hydrogen atom | |
| 2018/11/30 | 4.3 Angular momentum | |
| 2018/12/04 | Angular momentum of eigenfunction ( Spherical Harmonic) 4.3 Angular momentum | |
| 2018/12/07 | 4-4.1 Spin 1/2 | |
| 2018/12/11 |
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| 2018/12/14 |
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| Ch.5 Identical particles | 2018/12/18 | Lorentz force in quantum mechanics(同學報告) 5-1 two-particle system |
| 2018/12/21 | 5-1.2 exchange force | |
| 2018/12/25 |
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| 2018/12/28 |
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COURSE
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