Undergraduate

    Thermodynamics (2013, Spring)
    General Physics I-1 (2016, 2017, Spring)
    General Physics I-2 (2018, Fall)
    General Physics II-1 (2018, Spring)
    General Physics II-2 (2019(two classes), Fall)
    General Physics I (Strengthen Foundation) (2020, 2021, 2022, 2023, 2024 Fall)
    General Physics I(Grand-deep)(2020, Fall)
    Group Theory (2015, 2016, Spring)
    Group Theory (Strengthen Foundation) (2023, 2024 2025 Spring)

    graduate

    Group Theory (2015, 2016, 2018, 2019, 2020, Fall/ 2022, 2023, 2024 2025 Spring)
    Phase Transition and Renormalization Group (2015, Fall)

Lecture Notes

Group Theory 
 Chap1:Basic concepts						 Chap3: Rotation group
 Chap2-1:Representation definition			 Chap4: Symmetry and conservation law
 Chap2-2:Basic theorems 	          		         Comparison between SU(N) and SO(N)
 Chap2-3:Representation construction 		 A specific topic: time-reversal symmetry
 Chap2-4:Character of a representation             The definition of permutation group
 Basis functions                					 How to understand matrix product 
 Four important algebraic structures 		 Geometric Algebra
 What is a tensor                                                     Completeness Relation of Character
Alternative choices 
Hydrogen atom
Point group
Splitting of atomic orbitals in a crystal potential
Selection rules
Permutation group-1
Permutation group-2
The space and mapping in the induced respresentation
The application of permutation group: 2 and 3 electrons
Galois idea (a report in Westlake university)
Exam 
The previous exams in the wind
==============================================================================================
General Physics (I) 
Lec1:pre-course							Lec17:gyroscope
Lec2:differentials							Lec18:Kepler-Introduction
Lec3:integrals							Lec19:Kepler’s three laws-derivation
Lec4:vector								Lec20:gravity-LRL-vector
Lec5:vector-motion						Lec21:simple harmonic motion
Lec6:motion								Lec22:damped and driven oscillations
Lec7:force-Newton's laws					Lec23:Wave-I
Lec8:force-interaction						Lec24:Wave-II
Lec9:non-inertial							Lec25:prewords for thermodynamics
Lec10:work-energy-potential				Lec26:Equipartition theorem
Lec11:force-potential						Lec27:process
Lec12:momentum conservation				Lec28:cycles
Lec13:rigid body							Lec29:entropy and 2nd law
Lec14:translation-rotation					Lec30:entropy and Clausius-Boltzmann
Lec15:infinitesimal-inertia-pressure		        Lec31:Shannon information entropy and 3rd law
Lec16:friction-work						Lec32:Boltzmann distribution
Alternative choices 
minimal work and free energy
Sound wave
Kepler motion
==============================================================================================
Feynman Lectures (selected topics) 
Vector analysis: metric
Vector analysis: derivative
Special relativity
Levi-civita symbol
 Exercises
 Exercises for the non-attending-class students
==============================================================================================
Mathematics : concise,beautiful,profound 
Exterior derivative
Pojection and Least square

Copyright © 2016 LiPing Yang. All Rights Reserved.