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Dynamics of Classical and Quantum Fields

Dynamics of Classical and Quantum Fields. Instructor: Prof. Girish S. Setlur, Department of Physics, IIT Guwahati. This course covers introductory topics in Classical and Quantum Fields that are typically not given due importance in the M.Sc. coursework. There is a considerable knowledge gap between the present day M.Sc. level courses and actual PhD level research in theoretical physics. The contents of this course are carefully chosen to fill this gap and help aspiring/early stage PhD scholars come up to speed with research level topics in theoretical physics. (from nptel.ac.in)

Lecture 02 - Lagrangian Formalism

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Lecture 01 - Introduction

Lecture 02 - Lagrangian Formalism

Lecture 03 - Hamiltonian Mechanics

Lecture 04 - Flows and Symmetries

Lecture 05 - Examples of Continuum Systems

Lecture 06 - Symmetries and Noether's Theorem

Lecture 07 - Dynamical Symmetries

Lecture 08 - Symmetries in Field Theory

Lecture 09 - The Relativistic Electromagnetic Field

Lecture 10 - Stress-Energy (Energy-Momentum) Tensor

Lecture 11 - Green's Theorem and Green's Functions

Lecture 12 - Diffraction Theory

Lecture 13 - Introduction to Elasticity Theory

Lecture 14 - Solution of the Rubber band Problem

Lecture 15 - The Stress Function Method

Lecture 16 - Strain Energy

Lecture 17 - The Euler Equation

Lecture 18 - Bernoulli's Principle

Lecture 19 - Matter, Momentum and Energy Transport

Lecture 20 - Stokes Drag I

Lecture 21 - Stokes Drag II

Lecture 22 - Towards Quantum Fields

Lecture 23 - Right and Left Movers

Lecture 24 - Functional Integration I

Lecture 25 - Functional Integration II

Lecture 26 - Perturbation Theory

Lecture 27 - Quantum Mechanics using Lagrangians

Lecture 28 - Path Integrals - Formalism

Lecture 29 - Path Integrals - Free Particles

Lecture 30 - Path Integrals - Harmonic Oscillator

Lecture 31 - Creation and Annihilation Operators - Excitations

Lecture 32 - Creation and Annihilation Operators - Photons

Lecture 33 - Creation and Annihilation Operators - Many-Body Physics

Lecture 34 - Particle and Hole Green Functions

Lecture 35 - Current Algebra

Lecture 36 - Tight Binding Models I

Lecture 37 - Tight Binding Models II

Lecture 38 - Order Parameters

Lecture 39 - Schrieffer Wolff Transformation

Lecture 40 - Matsubara Green Functions I

Lecture 41 - Matsubara Green Functions II

Lecture 42 - Self Energy and Spectral Functions

Lecture 43 - S-Matrix Perturbation Theory

Lecture 44 - Keldysh Contour

Lecture 45 - Bosonic Coherent States

Lecture 46 - Fermionic Coherent States

Lecture 47 - Nonlocal Particle Hole Operators - Bosons

Lecture 48 - Nonlocal Particle Hole Operators - Fermions