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Teaching |
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E-mail |
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Chung-Yu Mou
Quantum Physics (I)(II) |
量子物理 |
2020-2021 |
牟中瑜 |
Syllabus |
授課大綱 |
email: mou@phys.nthu.edu.tw |
phone: 03-5742537 (X2537) |
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Teaching assistant (助教):
葉百祥
phone: 0975328186, email: dragonyeh25@gmail.com
陳家薪
phone: 0928008618, email: log800920@gmail.com
李映霖
phone: 0933271506, email: s1012424@gmail.com
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目標
本課程為物理系的核心課程, 為大三之必修課
主要的目標是在始學生能了解量子力學的基本假設並
能進一步做簡單的應用
所函蓋的課題包括
早期量子現象: 輻射定律,光電及康普吞效應,
電子繞射,原子光譜
波粒雙重性:波爾原子,物質波,波包與測不準原理
波動力學:波函數與機率的詮釋,算符與期望值,本徵函數,本徵值與
測量的關係
特別的課題: 一度空間之位場,簡諧振子,
三度空間之波方程式, 自旋與雙能階系統, 氫原子能譜
多體問題: 全同粒子之交換干涉, 玻色子, 費米子與包利不相容原理
元素週期系統,固體之能帶理論
簡易近似方法: 與時間無關之微擾理論,與時間有關之微擾理論,
自旋一軌道耦合,WKB方法
旋轉與角動量: 登一葛拉實驗,角動量之矩陣表示法, 簡易角動
量加法
電子與電磁場之交互作用: 史塔克效應,基曼效應, AB效應
(I) midterm: Nov. 13, final: Jan. 8 (2021)
- Cover Chapters 1 ~ 6 & 13
- Overview
- Pre-quantum development: balckbody radiation, photelectric effect,
the Compton effect, matter wave, atomic spectra, and the
Bohr model
- Wave packets and the Uncertainty principle
- The Schrodinger equation and the probability interpretation
- Simple 1D systems: potential well, origin of energy band, and the harmonic potential
- General Structure of Wave Mechanics: the observables and their
representations, eigenvalues and eigenfunctions in quantum measurements
- Many-particle systems: identical particles (Fermions and Bosons)
- 3D systems: 3D box and density of state, Fermi energy, degenerate pressure
and the astrophysical example
(II) midterm: April 23, final: June 15
- Cover Chapters 7 ~ 21 except 13
- Angular momentum, Central potential problem
, and the Hydrogen atom
- Interaction of electrons with EM fields
- Spin and Two-level system
- Addition of angular momentum
- Real Hydrogen Atoms and Structure of Atoms
- Simple molecules and their spectra
- Interaction of atoms with EM fields
- Simple perturbation theory
Textbooks
- Quantum Physics, 3rd edition, by Stephen Gasiorowicz
References
- Quantum Mechanics, An Introduction, 4th edition, by W. Grenier
- Feynman's Lectures on Physics, Vol.3
- Introducton to Quantum Mechanics, by David J. Griffiths
- Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, by Eisberg and Resnick
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