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Lecture Note 2 Multiplicative Weight and Its Application to Zero-sum Game, Online Gradient Descent, Universal Portfolio Algorithm

Lecture Note 3 Thomas Cover’s Universal Portfolios, Application of Online Learning to Supervised Learning, Duel Norm and Fenchel Conjugate

Lecture Note 4 Online Mirror Descent, Multi-armed Bandit Problem

Lecture Note 6 Topic Model and Word Embedding

Lecture Note 7 Skip-gram with Negative Sampling, Word Embedding as Matrix Factorization

Lecture Note 9 Attention, Normalization, Transfer Learning and Multi-task Learning (see slides for details), Generalization

Lecture Note 10 Stability Bound for Stochastic Gradient Method, Langevin Dynamics

Lecture Note 11 Convergence of GD and SGC, Stochastic Variance Reduced Gradient (SVRG)

Lecture Note 12 Heavy Ball Method, Lower Bound of First Order Methods, Nesterov’s Acceleration

Lecture Note 13 Reinforcement Learning: LP-Solution, Modified Policy Iteration, State and Action Value Function Estimation Algorithms

Lecture Note 14 Reinforcement Learning: Policy Gradient, Variance Reduction by Baseline, Actor-Critic Method

Silde: GDBT

Silde: Deep Learning Basics

Silde: Deep Learning CNN

Silde: Deep Learning RNN

Silde: Deep Learning Embedding

Silde: Deep Learning Attention 1

Silde: Deep Learning Attention 2

Silde: Deep Learning Normalization

Silde: Deep Learning Transfer Learning and Multi-task Learning

### Quantum Entanglement and Quantum Error Correction

Textbook: Quantum Information Meets Quantum Matter This is a copy from arXiv, you can also find it here (http://arxiv.org/abs/1508.02595).

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J. J. Sakurai - Modern Quantum Mechanies

J. J. Sakurai - Modern Quantum Mechanies Solution Manual

Quantum Mechanics Summary

Advanced Quantum Mechanics - Lecture Note 1 Basic Concepts: Stern-Gerlach Experiment / Introduction to Hilbert Space

Advanced Quantum Mechanics - Lecture Note 2 Basic Concepts: Eigenvalues and Eigenstates of Operator / Measurement / Uncertainty Relations

Advanced Quantum Mechanics - Lecture Note 3 Basic Concepts: Representation Transformation / Position Space and Momentum Space

Advanced Quantum Mechanics - Lecture Note 4 Quantum Kinetics: Time Evolution and Schrodinger Equation (Uncertainty Relation of Energy and Time)

Advanced Quantum Mechanics - Lecture Note 5 Quantum Kinetics: Schrodinger Picture and Heisenburg Picture (Solution for 1D-SHO)

Advanced Quantum Mechanics - Lecture Note 6 Quantum Kinetics: Further Discussion about SHO (Casimir Effect / Coherence State of SHO) / Schrodinger Eqution under Position Space and WKB approximation

Advanced Quantum Mechanics - Lecture Note 7 Quantum Kinetics: Feynman Path Integral / Gauge Transformation

Advanced Quantum Mechanics - Lecture Note 8 Quantum Kinetics: Gauge Transformation in Electromagnetism (AB Effect / Magnetic Monopole)

Advanced Quantum Mechanics - Lecture Note 9 Angular Momentum: Rotation and Quantum Momentum / spin

Advanced Quantum Mechanics - Lecture Note 10 Angular Momentum: Eigenvalue and Matrix Representation of Angular Momentum / Rotation Matrix

Advanced Quantum Mechanics - Lecture Note 11 Angular Momentum: Orbital Angular Momentum / Addition of Angular Momentum (Spin-orbit Counpling and Two-electron Coupling)

Advanced Quantum Mechanics - Lecture Note 12 Angular Momentum: Spin Coherent and Bell Inequality

Advanced Quantum Mechanics - Lecture Note 13 Angular Momentum: Ensemble and Density Matrix

Advanced Quantum Mechanics - Lecture Note 14 Approximation Method: Time-Independent Perturbation (Nondegenerate Case and Degenerate Case)

Advanced Quantum Mechanics - Lecture Note 15 Approximation Method: Variational Method / Strong Coupling Schrodinger Equation (Yukawa Potential) / Time-dependent Perturbation

Advanced Quantum Mechanics - Lecture Note 16 Approximation Method: Interaction Picture and Perturbation / Scattering: Green Function Approach

Advanced Quantum Mechanics - Lecture Note 17 Scattering Theory: Born Series / Lippmann-Schwinger Equation / Optical Theorem

Advanced Quantum Mechanics - Lecture Note 18 Scattering Theory: Partial Wave

Advanced Quantum Mechanics - Lecture Note 19 Symmetry and Conservation: Conserved Observable / Symmetry / Identical Particles

Advanced Quantum Mechanics - Lecture Note 20 Symmetry and Conservation: More about Identical Particles

Advanced Quantum Mechanics - Lecture Note 21 Second Quantization: Fock Space

Advanced Quantum Mechanics - Lecture Note 22 Second Quantization: Observables and Wave Functions / Quantum Dynamics and Second Quantization

Advanced Quantum Mechanics - Lecture Note 23 Second Quantization: Non-interacting Fermions/ Non-interacting Bosons/ Interacting Fermions

Advanced Quantum Mechanics - Lecture Note 24 Relativistic Quantum Mechanics: Klein-Gordon Equation / Dirac Equation / Dirac Equation in Two-component Form (Neutrino Case)

Advanced Quantum Mechanics - Lecture Note 25 Relativistic Quantum Mechanics: Invariance under Lorentz Transformation / P Transformation / T Transformation

Advanced Quantum Mechanics - Lecture Note 26 Relativistic Quantum Mechanics: Electromagnetic Interactions (C Transformation) / Free Particle Solution of Dirac Equation

### Quantum Mechanics

Exams in Nanjing University

Quantum Mechanics - Lecture Note 1 The Origin of Quantum Mechanics

Quantum Mechanics - Lecture Note 2 Wave Function and Schrodinger’s Equation

Quantum Mechanics - Lecture Note 3 Solution for One-dimensional Stationary Schrodinger’s Equation

Quantum Mechanics - Lecture Note 4 Observables and Representation Transformation

Quantum Mechanics - Lecture Note 5 Evolution of Observables and Symmetry

Quantum Mechanics - Lecture Note 6 Central Force Field

Quantum Mechanics - Lecture Note 7 Electron Spin

Quantum Mechanics - Lecture Note 8 Electron in Electromagnetic Field

Quantum Mechanics - Lecture Note 9 Identical Particles

Quantum Mechanics - Lecture Note 10 Approximation Methods: Time-independent Perturbation

Quantum Mechanics - Lecture Note 11 Approximation Methods: Time-dependent Perturbation (Quantum Transition)

Quantum Mechanics - Lecture Note 12 Scattering

### Electrodynamics

Electrodynamics - Slide 1 Mathmatics: Vectors and Tensors

Electrodynamics - Slide 2 Basic Properties of Electromagnetic Field: Electric Field

Electrodynamics - Slide 3 Basic Properties of Electromagnetic Field: Magnetic Field

Electrodynamics - Slide 4 Basic Properties of Electromagnetic Field: Maxwell Equations in Vacuum

Electrodynamics - Slide 5 Basic Properties of Electromagnetic Field: Maxwell Equations in Dielectric

Electrodynamics - Slide 6 Basic Properties of Electromagnetic Field: Boundary Condition of Maxwell Equations in Dielectric Interface

Electrodynamics - Slide 7 Static Electric Field: Scalar Potential of Static Electric Field

Electrodynamics - Slide 8 Static Electric Field: Uniquness Theorem

Electrodynamics - Slide 9 Static Electric Field: Image Method

Electrodynamics - Slide 10 Static Electric Field: Laplace Equation / Seperation of Variables

Electrodynamics - Slide 11 Static Electric Field: Green Function

Electrodynamics - Slide 12 Static Electric Field: Electric Multipole Moment

Electrodynamics - Slide 13 Static Magnetic Field: Magnetic Vector Potential

Electrodynamics - Slide 14 Static Magnetic Field: Magnetic Scalar Potential

Electrodynamics - Slide 15 Static Magnetic Field: Magnetic Multipole Moment

Electrodynamics - Slide 16 Static Magnetic Field: Aharonov-Bohm Effect

Electrodynamics - Slide 17 Static Magnetic Field: Electromagnetic Properties of Superconductor

Electrodynamics - Slide 18 Propagation of Electromagnetic Field: Plane Wave in Vacuum

Electrodynamics - Slide 19 Propagation of Electromagnetic Field: Reflection and Refraction

Electrodynamics - Slide 20 Propagation of Electromagnetic Field: Propagation in Dielectic

Electrodynamics - Slide 21 Supplement: Dispersion of Dielectic

Electrodynamics - Slide 22 Supplement: Optical Waveguide

Electrodynamics - Slide 23 Resonator: Rectangular Metal Resonator

Electrodynamics - Slide 24 Resonator: Metal Waveguide

Electrodynamics - Slide 25 Radiation of Electromagnetic Wave: Scalar Potential and Vector Potential

Electrodynamics - Slide 26 Radiation of Electromagnetic Wave: Retarted Potential

Electrodynamics - Slide 28 Radiation of Electromagnetic Wave: Electric Dipole Radiation / Antenna

Electrodynamics - Slide 29 Special Relativity: Fundamental Experiments

Electrodynamics - Slide 30 Special Relativity: Basic Principles

Electrodynamics - Slide 31 Special Relativity: Time-space Theory

Electrodynamics - Slide 32 Special Relativity: Four-dimensional Vectors

Electrodynamics - Slide 33 Special Relativity: Relativity in Electrodynamics

Electrodynamics - Slide 34 Interaction between Charged Particle and Electromagnetic Field

### Signal and Systems

Signal and Systems - Slides 1

Signal and Systems - Slides 2

Signal and Systems - Slides 3

Signal and Systems - Slides 4

Signal and Systems - Slides 5

Signal and Systems - Slides 6

Signal and Systems - Slides 7

### Atomic Physics

J. Foot - Atomic Physics

### Quantum Electronics

Warren Nagourney - Quantum Electronics for Atomic Physics (removed)

### Theory of Marxism

Summary for Exams