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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