課程名稱 |
量子物理與應用 Principles and Applications of Quantum Physics |
開課學期 |
107-2 |
授課對象 |
學程 奈米科技學程 |
授課教師 |
林清富 |
課號 |
OE5021 |
課程識別碼 |
941 U0300 |
班次 |
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學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期四2,3,4(9:10~12:10) |
上課地點 |
博理114 |
備註 |
總人數上限:50人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1072OE5021_ |
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 |
課程大綱
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課程概述 |
此課程旨在幫助同學熟悉量子領域中常用的觀念和符號,以簡化的方式處理物理問題,建立量子世界中的直觀,並更深入瞭解量子理論和模型,以便將量子觀念活用在雷射、光電、固態、半導體、材料、奈米結構和元件等領域,可以做為這些研究領域的紮根基礎。
Chapter 1 Fundamental concepts
Kets, Bras, Operators, Matrix Representations; Measurements, Observables; Uncertainty Principle; Position, Momentum;Translation, Wavefunctions in Position and Momentum Space; Dirac Description of Quantum Mechanical States
Chapter 2 Quantum Dynamics
Time Evolution and the Schrodinger Equation; Schrodunger Picture vs. Heisenberg Picture; Simple Harmonic Oscillator; Schrodinger's Wave Equation
Chapter 3 The Tunneling Problems
General tunneling issue, applications: field emission devices, scanning tunneling microscopy, resonant tunneling diode, tunneling effect in MOS devices
Chapter 4 Spherically Symmetric Potential and Angular Momentum
Rotation and Angular Momentum; Commutation Relations, Spin 1/2 Systems; Orbital Angular Momentum; Addition of Angular Momentum; Quantum states in atoms
Chapter 5 Symmetry in Quantum Mechanics
Symmetries; Conservation Laws and Degeneracies; Discrete Symmetries; Parity, Space Inversion, Lattice Translation; Bloch theorem for solids
Chapter 6 Identical Particles
Permutation Symmetry; Two-Electron System; Field Quantization
Chapter 7 Approximation Methods
Time-independent Perturbation Theory: Degenerate and Nondegenerate Cases; Energy bands and states of electrons and holes in semiconductors and quantum wells; Time-dependent Perturbation Theory; Light-matter interaction.
Chapter 8 Quantum physics for molecules |
課程目標 |
此課程旨在幫助同學熟悉量子領域中常用的觀念和符號,以簡化的方式處理物理問題,建立量子世界中的直觀,並更深入瞭解量子理論和模型,以便將量子觀念活用在雷射、光電、固態、半導體、材料、奈米結構和元件等領域,可以做為這些研究領域的紮根基礎。 |
課程要求 |
Quiz, homework, mid-term, final |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
Modern Quantum Mechanics, by J. J. Sakurai & Jim Napolitano |
參考書目 |
Quantum Mechanics: Fundamental and Applications to Technology, by Jasprit Singh.
Quantum Physics, by Michel Le Bellac, Cambridge University Press. |
評量方式 (僅供參考) |
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週次 |
日期 |
單元主題 |
第1週 |
2/21 |
Kets, Bras, Operators, Matrix Representations; Measurements, Observables; Uncertainty Principle; Position, Momentum;Translation |
第1週 |
2/21 |
Kets, Bras, Operators, Matrix Representations; Measurements, Observables; Uncertainty Principle; Position, Momentum;Translation |
第2週 |
2/28 |
228休假 |
第2週 |
2/28 |
228休假 |
第3週 |
3/07 |
Wavefunctions in Position and Momentum Space; Dirac Description of Quantum Mechanical States |
第3週 |
3/07 |
Wavefunctions in Position and Momentum Space; Dirac Description of Quantum Mechanical States |
第4週 |
3/14 |
Time Evolution and the Schrodinger Equation; Schrodunger Picture vs. Heisenberg Picture |
第4週 |
3/14 |
Time Evolution and the Schrodinger Equation; Schrodunger Picture vs. Heisenberg Picture |
第5週 |
3/21 |
Simple Harmonic Oscillator; Schrodinger's Wave Equation |
第5週 |
3/21 |
Simple Harmonic Oscillator; Schrodinger's Wave Equation |
第6週 |
3/28 |
General tunneling issue, applications: field emission devices, scanning tunneling microscopy, resonant tunneling diode, tunneling effect in MOS devices |
第6週 |
3/28 |
General tunneling issue, applications: field emission devices, scanning tunneling microscopy, resonant tunneling diode, tunneling effect in MOS devices |
第7週 |
4/04 |
春假 |
第7週 |
4/04 |
春假 |
第8週 |
4/11 |
Rotation and Angular Momentum; Commutation Relations, Spin 1/2 Systems |
第8週 |
4/11 |
Rotation and Angular Momentum; Commutation Relations, Spin 1/2 Systems |
第9週 |
4/18 |
期中考 |
第9週 |
4/18 |
期中考 |
第10週 |
4/25 |
Orbital Angular Momentum; Addition of Angular Momentum; Quantum states in atoms |
第10週 |
4/25 |
Orbital Angular Momentum; Addition of Angular Momentum; Quantum states in atoms |
第11週 |
5/02 |
Symmetries; Conservation Laws and Degeneracies; Discrete Symmetries; Parity |
第11週 |
5/02 |
Symmetries; Conservation Laws and Degeneracies; Discrete Symmetries; Parity |
第12週 |
5/09 |
Space Inversion, Lattice Translation; Bloch theorem for solids |
第12週 |
5/09 |
Space Inversion, Lattice Translation; Bloch theorem for solids |
第13週 |
5/16 |
Permutation Symmetry; Two-Electron System |
第13週 |
5/16 |
Permutation Symmetry; Two-Electron System |
第14週 |
5/23 |
Field Quantization |
第14週 |
5/23 |
Field Quantization |
第15週 |
5/30 |
Time-independent Perturbation Theory: Degenerate and Nondegenerate Cases; Energy bands and states of electrons and holes in semiconductors and quantum wells |
第15週 |
5/30 |
Time-independent Perturbation Theory: Degenerate and Nondegenerate Cases; Energy bands and states of electrons and holes in semiconductors and quantum wells |
第16週 |
6/06 |
Time-dependent Perturbation Theory; Light-matter interaction. |
第16週 |
6/06 |
Time-dependent Perturbation Theory; Light-matter interaction. |
第17週 |
6/13 |
Quantum physics for molecules |
第17週 |
6/13 |
Quantum physics for molecules |
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