Quantum Mechanics

강의 목표

1학기: 양자역학의 기본에 대한 이해, 2학기: 양자역학의 근사적 계산, 3학기: 양자장론 입문

강의 동영상:

양자물리 입문을 위해선 일반물리2 의 14강-16강 을 참조

숙제: 주당 5문제 (홈페이지에 게시)

교재: 양자역학강의 노트

학부: David Griffiths: Introduction to Quantum Mechanics,
고급 양자역학3 교재: Quantum field theory in Nutshell (A. Zee),

대학원 양자역학: D.Tong lecture notes, Sakurai, Shankar,


평가

(1) 출석20%, (2)중간고사(40%), (3)기말고사(40%).

  • 시험은 60% 숙제에서 출제한다.

  • 상대평가.

2018-1. 대학원 양자물리

아래 양자물리3의 프로그램참조.

노트: 1학기1, 1학기2 (이기영)


2018-2. 대학원 양자물리

노트: 2학기1, 2학기2

참고문헌: Preskil and Witten's note on quantum information, 와인버거,

2013년 1학기 양자역학 1 강의동영상

1주 양자역학이란 무엇인가.

(3/05) 이중성과 확률해석

(3/07) 파동성과 불확정성

2주 3/14 파동역학의 쉬운 예들

group velocity/phase velocity

Harmonic oscillator

3/28 Finite square well( Bound state problem, scattering, Tunnelling, Resonance)

2장연습문제:1 ,2,4,5,7,8 //10,11,12,13,14,15 // 22,25,27,33 ,34,35.

4/04 양자역학의 여섯 공리

4/06 연산자의 비가환성과 불확정성원리

3장연습문제: 1,5,9, 12, 31 (선택: 33,35,35,38)

4/11 3차원의 문제, 수소원자

4/18 각운동량, 중간고사

4/25 스핀, 각운동량 더하기

4장연습문제: 1,2,3,9,13//16,17,18,19,20//25,30,31,32,33,34.

(선택: 38,39,42,46,49//51,55,56,57,59)

5/2보존과 페르미온 // 주기율표의 설명

5/9 고체와 밴드구조

5/16 양자통계역학

5/23 섭동이론

5/30 수소원자의 미세구조

6/6 Zeeman effect // Spin-Orbit coupling.

6/13기말고사

2013년 2학기 양자역학 2 강의동영상

week1, Time independent perturbation Theory I

(9/03) Non-degenerate perturbation Theory

(9/05) Degenerate perturbation Theory

HW) 6.2, 6.3, 6.5, 6.6, 6.7

week2, Time independent perturbation Theory II

(9/7) The fine structure of Hydrogen

(9/10) The Zeeman Effect

HW) 6.9, 6.12, 6.13, 6.17, 6.18

week3, The variational Principle

(9/12) Hyperfine splitting

(9/14) variational Principle-Theory

HW) 6.20, 6.21, 6.22, 6.24, 6.28

HW) 6.31, 6.32, 6.33, 6.35, 6.36

week4, The variational Principle II

(10/1) The Ground State of Helium

(10/3) The hydrogen Moecule Ion

HW) 7.1, 7.2, 7.4, 7.7, 7.9

week5, WKB approximation

(10/8) The classical rigion, Tunneling

(10/10) The connection Formulas

HW) 8.2, 8.3, 8.4, 8,5, 8.6

week6, WKB approximation II

(10/15) Bohr-Sommerfeld quantization

(10/17) A few examples of WKB

HW) 8.9, 8.10, 8.11, 8,14, 8.15

week7,Time dependent perturbation Theory I

(10/22) Two level system

(10/24) Emission and Absorption of Radiation

HW) chap 9: problem#1, 2, 4, 6, 7

week8,

(10/29) Spontaneous Emission

(10/31) Midterm Exam

HW) chap 9: problem#8, 9, 11, 12, 14

week9, THe adiabatic approximation

(11/5) The adiabatic theorem

(11/7) Berry's Phase

HW) chap 10: problem#1, 2, 3, 6, 7

week10, Scattering Theory I

(11/12) Introduction

(11/14) Partial Wave analysis

HW) chap 10: problem#1, 2, 3, 4

week11, Scattering Theory II

(11/19) Phase Shift

(11/21)The Born approximation

HW) chap 10: problem#5, 12, 13, 14, 15

week12, Quantum information Theory

(11/26) Bell's Theorem/ The no-clone theorem

(11/28) Schrodinger's Cat/ The Quantum Zeno Paradox

week13, Quantum Hall effect

(12/3) Integer quantum Hall effect

(12/5) Fractional quantum Hall effect

week14, Topological Insulator/superconductor

(12/10) Kane-Mele model

(12/12) topological superconductor

week15

(12/17) Final Exam

2014년 1학기 고급양자역학 강의동영상

교재: Quantum field theory in Nutshell (A. Zee)


1 "Why Quantum Field Theory?

2 Semi-classical Approximation and Perturbation Expansion

3 Feynman Propagator and Scalar Exchange

4 Why Electrons Push Each Other?

5 Spin and the Characters of Forces

6 Feynman Diagram and perturbative field theory

7 Feynman Rule and Symmetric Factor

8 Canonical Quantization / Noether Theorem

9 Questions / Answers "Propagator D(x), Graviton polarization, Normal Ordering

10 Energy-Momentum Tensor / Dirac Equation

11 Discrete Symmetries of Dirac Equation / Parity and change conjugation

12 Time Reversal Symmetry and Kramer theorem / Lorentz transformation for Spinor

13 Majorana Fermion

14 Quantization of Dirac Field / Negative Frequency problem

15 Connection Between Spin - Statistic

16 Lorentz Transfotmation and Structure of Dirac Eq

17 Dirac Eq and Electon Magnetic Moment

18 Schwinger's correction to g=2 / Hubbard - Stratonovich Transformation

19 Spontaneous Symmetry breaking and Goldstone theorem

20 Quantum Effective Potential

21 Basic Renormalization Theory with Effective Potential

22 Magnetic Monopole / Non-abelian Gange Theory

23 Anderson - Higgs Mechanism

24 Superconductivity vs Superfluidity

25 Symmetry Breaking and Instability by Quantum Fluctuation

26 Solitons : Kink, Vortex, Monopole

27 Boson,Fermion and Anyon

2016년 1학기 양자물리 3 (고급양자물리)

1주 양자역학이란 무엇인가.

(3/05) 이중성과 확률해석

(3/07) 파동성과 불확정성

2주 3/14 파동역학의 쉬운 예들

group velocity/phase velocity

Harmonic oscillator

3/28 Finite square well( Bound state problem, scattering, Tunnelling, Resonance)

2장연습문제:1 ,2,4,5,7,8 //10,11,12,13,14,15 // 22,25,27,33 ,34,35.

4/04 양자역학의 여섯 공리

4/06 연산자의 비가환성과 불확정성원리

3장연습문제: 1,5,9, 12, 31 (선택: 33,35,35,38)

4/11 3차원의 문제, 수소원자

4/18 각운동량, 중간고사

4/25 스핀, 각운동량 더하기

4장연습문제: 1,2,3,9,13//16,17,18,19,20//25,30,31,32,33,34.

(선택: 38,39,42,46,49//51,55,56,57,59)

5/2보존과 페르미온 // 주기율표의 설명

5/9 고체와 밴드구조

5/16 양자통계역학

5/23 섭동이론

5/30 수소원자의 미세구조

6/6 Zeeman effect // Spin-Orbit coupling.

6/13기말고사