Introduction to Quantum Mechanics - 107 Academic Year

量子力學導論 - 107學年度

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.

課程用書:
David J. Griffith “Introduction to Quantum Mechanics”, 2nd Ed., Pearson Education Inc. 2005

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授課教師 電子工程學系 林聖迪老師
課程學分 3學分
授課年度 107學年度
授課對象 大學部
預備知識 工數/近代物理/電磁學
課程提供 課程影音   課程綱要   課程行事曆  

週次課程內容課程影音課程下載
Ch.1 The wave function
Introduction
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Ch.1 The wave function
1- 1 The Schrödinger eq. ~ 1-3.1 The probability of discrete variables
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Ch.1 The wave function
1-3.2 The probability of continuous variables ~ 1-6 The uncertainty principle
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Ch.2 Time-independent Schrödinger equation
2-1 stationary state
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Ch.2 Time-independent Schrödinger equation
2-2 The infinite square well
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Ch.2 Time-independent Schrödinger equation
A little review for 2-2
2-3 The harmonic oscillator
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Ch.2 Time-independent Schrödinger equation
The Harmonic Oscillator
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Ch.2 Time-independent Schrödinger equation
老師補充
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Ch.2 Time-independent Schrödinger equation
同學報告
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Ch.2 Time-independent Schrödinger equation
2-4 The free particle
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Ch.2 Time-independent Schrödinger equation
同學報告
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Ch.2 Time-independent Schrödinger equation
老師補充
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Ch.2 Time-independent Schrödinger equation
2-5 Delta function
2-6 Finite potential
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Ch.2 Time-independent Schrödinger equation
2-6 Finite potential
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Ch.2 Time-independent Schrödinger equation
同學報告+老師補充
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Ch.2 Time-independent Schrödinger equation
同學報告
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Ch.3 Formalism
3-1 Hilbert space ~ 3-3 Eigenfunctions of a Hermitian operator (Part 1)
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Ch.3 Formalism
3-3 Eigenfunctions of a Hermitian operator(Part 2)
3-4 generalized statistical interpretation
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Ch.3 Formalism
同學報告
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Ch.3 Formalism
The energy-time uncertainty principle (同學報告)
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Ch.3 Formalism
3-6 Dirac notation
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Ch.3 Formalism
Additional (uncertainty principle & S.H.O. in matrix)
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Ch.4 Quantum mechanics in three dimensions
4-1.1 Quantum mechanics in three dimensions
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Ch.4 Quantum mechanics in three dimensions
4-1 Schrodinger eq. in spherical coordinates
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Ch.4 Quantum mechanics in three dimensions
Infinite spherical well(同學報告)
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Ch.4 Quantum mechanics in three dimensions
Infinite spherical well(老師補充 )
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Ch.4 Quantum mechanics in three dimensions
4-2 The radial wave function of the hydrogen atom
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Ch.4 Quantum mechanics in three dimensions
4-3 Angular momentum
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Ch.4 Quantum mechanics in three dimensions
Angular momentum of eigenfunction ( Spherical Harmonic)
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Ch.4 Quantum mechanics in three dimensions
4.3 Angular momentum
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Ch.4 Quantum mechanics in three dimensions
4-4.1 Spin 1/2
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Ch.4 Quantum mechanics in three dimensions
4-4.2 Spin 1/2 for electrons in magnetic field
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Ch.4 Quantum mechanics in three dimensions
the stern -Gerlach Experiment (同學報告+老師補充)
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Ch.4 Quantum mechanics in three dimensions
addition of angular momentum
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Ch.5 Identical particles
Lorentz force in quantum mechanics(同學報告)
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Ch.5 Identical particles
5-1 two-particle system
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Ch.5 Identical particles
5-1.2 exchange force
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Ch.5 Identical particles
5-2.1 Helium-atom
6.1. nondegenerate perturbation theory
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Ch.5 Identical particles
6- 2. degenerate perturbation theory
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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 functionIntroduction of Schoedinger equation and wave functions
Time-independent Schoedinger equationClassical 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
Midterm40%
Final Exams40%
Team Report20%

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

2018/09/11Introduction
2018/09/141- 1 The Schrödinger eq. ~ 1-3.1 The probability of discrete variables
2018/09/18
  • 1-3.2 The probability of continuous variables ~ 1-6 The uncertainty principle
Ch.2 Time-independent Schrödinger equation2018/09/21
  • 2-1 stationary state
2018/09/25
  • 2-2 The infinite square well
2018/09/28
  • A little review for 2-2
    2-3 The harmonic oscillator
2018/10/02
  • Section11.2-11.4
2018/10/05
  • 老師補充
2018/10/09
  • 同學報告
    2-4 The free particle
2018/10/12
  • 同學報告+老師補充
2018/10/16
  • 2-5 Delta function
    2-6 Finite potential
2018/10/19
  • 2-6 Finite potential
    同學報告+老師補充
2018/10/23
  • 同學報告
Ch.3 Formalism2018/10/26
  • 3-1 Hilbert space ~ 3-3 Eigenfunctions of a Hermitian operator(Part 1)
2018/10/30
  • 3-3 Eigenfunctions of a Hermitian operator(Part 2)
    3-4 generalized statistical interpretation
    同學報告
2018/11/02
  • The energy-time uncertainty principle (同學報告)
2018/11/06
  • 3-6 Dirac notation
2018/11/09
  • Additional (uncertainty principle & S.H.O. in matrix)
Ch.4 Quantum mechanics in three dimensions2018/11/164-1.1 Quantum mechanics in three dimensions
2018/11/204-1 Schrodinger eq. in spherical coordinates
2018/11/23Infinite spherical well(同學報告+老師補充)
2018/11/274-2 The radial wave function of the hydrogen atom
2018/11/304.3 Angular momentum
2018/12/04Angular momentum of eigenfunction ( Spherical Harmonic)
4.3 Angular momentum
2018/12/074-4.1 Spin 1/2
2018/12/11
  • 4-4.2 Spin 1/2 for electrons in magnetic field the stern -Gerlach Experiment (同學報告+老師補充)
2018/12/14
  • addition of angular momentum
Ch.5 Identical particles2018/12/18Lorentz force in quantum mechanics(同學報告)
5-1 two-particle system
2018/12/215-1.2 exchange force
2018/12/25
  • 5-2.1 Helium-atom
    6- 1. nondegenerate perturbation theory
2018/12/28
  • 6- 2. degenerate perturbation theory