Dynamics of Classical and Quantum Fields (English)

   Tuesday, April 09, 2024   

Starting a new Lecture Notes Series on Dynamics of Classical and Quantum Fields

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Dynamics of Classical and Quantum Fields By Lecture Notes together!

Lecture 1: Dynamics of Classical and Quantum Fields

Lecture 2: Lec 1: Introduction

Lecture 3: Lec 2: Lagrangian Formalism

Lecture 4: Lec 3: Hamiltonian Mechanics

Lecture 5: Lec 4: Flows and Symmetries

Lecture 6: Lec 5: Examples of Continuum Systems

Lecture 7: Lec 6: Symmetries and Noether's Theorem

Lecture 8: Lec 7: Dynamical Symmetries

Lecture 9: Lec 8: Symmetries in Field Theories

Lecture 10: Lec 9: The Relativistic Electromagnetic Field

Lecture 11: Lec 10: Stress-Energy (Energy-Momentum) Tensor

Lecture 12: Lec 11: Green's Theorem and Green's Functions

Lecture 13: Lec 12: Diffraction Theory

Lecture 14: Lec 13: Introduction to Elasticity Theory

Lecture 15: Lec 14: Solution of the rubber band problem

Lecture 16: Lec 15: The Stress Function Method

Lecture 17: Lec 16: Strain Energy

Lecture 18: Lec 17: The Euler Equation

Lecture 19: Lec 18: Bernoulli's Principle

Lecture 20: Lec 19: Matter, Momentum and Energy Transport

Lecture 21: Lec 20: Stokes' Drag - I

Lecture 22: Lec 21: Stokes' Drag - II

Lecture 23: Lec 22: Towards Quantum Fields

Lecture 24: Lec 23: Right and Left Movers

Lecture 25: Lec 24: Functional Integration - I

Lecture 26: Lec 25: Functional Integration - II

Lecture 27: Lec 26: Perturbation theory

Lecture 28: Lec 27: Quantum Mechanics using Lagrangians

Lecture 29: Lec 34: Particle and Hole Green functions

Lecture 30: Lec 35: Current Algebra

Lecture 31: Lec 36: Tight Binding Models - I

Lecture 32: Lec 37: Tight Binding Models - II

Lecture 33: Lec 38: Order Parameters

Lecture 34: Lec 39: Schrieffer Wolff Transformation

Lecture 35: Lec 28: Path Integrals - Formalism

Lecture 36: Lec 29: Path Integrals - Free particles

Lecture 37: Lec 30: Path Integrals - Harmonic oscillator

Lecture 38: Lec 40: Matsubara Green functions - I

Lecture 39: Lec 41: Matsubara Green functions - II

Lecture 40: Lec 42: Self Energy and Spectral Functions

Lecture 41: Lec 43: S-Matrix Perturbation Theory

Lecture 42: Lec 44: Keldysh Contour

Lecture 43: Lec 45: Bosonic Coherent States

Lecture 44: Lec 46: Fermionic Coherent States

Lecture 45: Lec 47: Nonlocal particle hole operators - Bosons

Lecture 46: Lec 48: Nonlocal particle hole operators - Fermions

Lecture 47: Lec 31: Creation and annihilation operators - Excitations

Lecture 48: Lec 32: Creation and annihilation operators - Photons

Lecture 49: Lec 33: Creation and annihilation operators - Many-body physics