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課程名稱 |
量子力學
Quantum Mechanics |
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開課學期 |
99-2 |
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授課對象 |
工學院 應用力學研究所 |
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授課教師 |
張家歐 |
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課號 |
AM7028 |
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課程識別碼 |
543 M4670 |
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班次 |
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學分 |
3 |
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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 |
星期二6,7(13:20~15:10)星期五6(13:20~14:10) |
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上課地點 |
應233應233 |
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備註 |
總人數上限：60人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/992QuantumMechanics |
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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 |
Quantum mechanics is a mathematical description of how elementary (small) particles move and interact in nature. It is basd on the wave-particle dual description formulated by Bohr, Einstein, Heisengerg, Schrodinger, and others. The basic units of nature are indeed particles, but the description of their motion involves wave mechanics. Quantum physics allows us to understand the nature of the physics phenomena which govern the behavior of solids, semiconductors, lasers, atoms nuclei, subnuclear particles, and modern optics. |
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課程目標 |
在當今奈米科技, 生物基因科學與工程盛行的時代, 工學院的學生要參與研究, 基本上要瞭解微小粒子的運動行為已非巨觀世界的牛頓力學所能描述. 本課程主要教導工學院的研究生或高年級大學生如何使用schrodinger equation 來求解單粒子在已知位能下的波函數與量化之能階, 雙原子分子的量化之簡諧振盪能階與角動量能階與波函數.自旋電子的波函數與能階, 帶電荷粒子在磁場作用下的運動行為. 學生有了這些基礎知識, 對於奈米材料或生物分子的力學或光電的行為, 能夠以量子力學的觀點切入分析 |
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課程要求 |
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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 |
S. Gasirowiz, Quantum Physics, 3rd edition, 2003, Wiley. |
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參考書目 |
趙聖德, Applied Quantum Mechanics, 2010, 五南出版社.
D. J. Grifiths, Introduction to Quantum Mechanics, 2nd edition, 2004.
G. D. Mahan, Quantum Mechanics in a Nutshell, 2009, Princetion University Press.
M. Le Bellac, Quantum Physics, 2006, Cambridge University Press.
G. Auletta, M. Fortunato, and G. Parisi, Quantum Mechanics, 2009, Cambridge University Press.
C. Tang, Fundamentals of Quantum Mechanics, form solid-state electronics and optices, 2005, Cambrideg University Press.
J. J. Sakurai, Modern Quantum Mechanics, revised edition, 1994, Addison-Wesley.
M. D. Fayer, Elements of Quantum Mechanics, 2001, Oxford University Press.
N. Zettili, Quantum Mechanics, 2nd edition, Wiley, 2009.
J. Singh, Quantum Mechanics, John Wiley & Sons, 1997. |
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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 |
2/22,2/25 |
老師出國. 以後補課 |
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第2週 |
3/01,3/04 |
Blackbody radiation.
Photoelectric effect |
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第3週 |
3/08,3/11 |
Wave properties and Electron Diffraction.
The Bohr Atom.
Wave-partricle Duality.
The Schrodinger equation |
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第4週 |
3/15,3/18 |
Probability current.Expectation value. Wave function in momentum space.
Momentum eigenfunctions
Eigernvalues and Eigenfunctions |
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第5週 |
3/22,3/25 |
Chapter 4. One dimensional Potential.
Potential step. Potentioal well. Potential barrier. Transmission through two barriers.Cascaded matrix method.Bound states in a potential well. The tunneling effect of NH3 molecules. |
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第6週 |
3/29,4/01 |
Double Delta function potential. Harmonic Oscillator. |
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第7週 |
4/05,4/08 |
The General Structure of Wave Mechanics.
Degenercy and Simultaneous Observables.
Time Dependence and the Classical Limit. |
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第8週 |
4/12,4/15 |
Operator Method in Quantum Mevhanics |
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第9週 |
4/19,4/22 |
Projection Operators.
The Energy Spectrum of the Harmonic Oscillator by Operators. |
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第10週 |
4/26,4/29 |
From operators back to the Schrodinger equation.
The time-dependent of operators |
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第11週 |
5/03,5/06 |
Chapter 7
Angular Momentum. Raising and lowering operators for angular momentum.
Physical symmetries and Conservation laws
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第12週 |
5/10,5/13 |
Representation of angular momentum states in Spherical coordinates |
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第13週 |
5/17,5/20 |
THe Schrodinger equations in three dimensions and teh Hydrogen atom |
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第14週 |
5/24,5/27 |
The rigid rotation model for a rotating diatomic molecule.
Chapter 9 Matrix representation of operators. |
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第15週 |
5/31,6/03 |
Spin.
The Stern-Gerlach Experiment |
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第16週 |
6/07,6/10 |
Eigenstates of spin 1/2.
Spin magnetic moment.
Paramagnetic resonance. |
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第17週 |
6/14,6/17 |
Addition of two spins.
The addition of spin 1/2 and orbital angular momentum.
Giant magnetic resistors.
Exchange interaction. Spin-orbit interaction.
Basic concepts in spin exchange.
Penning ionization of metastable Helium atoms. |
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