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Course11510313148 lectures

Dynamics of Classical and Quantum Fields

Prof. Girish S. Setlur · IIT Guwahati

Start with lecture 1 At NPTEL

About

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.

Intended audience: MSc. and beginning Ph.D students and other interested individuals.

Prerequisites: Classical Mechanics, Quantum Mechanics, Special Relativity,Statistical Mechanics.INTENDED AUDIENCE: MSc. and beginning Ph.D students and other interested individuals.

Lectures

Week 01: Introduction and Review of point particle mechanics

  1. Lec 1: Introduction YouTube
  2. Lec 2: Lagrangian Formalism YouTube
  3. Lec 3: Hamiltonian Mechanics YouTube
  4. Lec 4: Flows and Symmetries YouTube
  5. Lec 5: Examples of Continuum Systems YouTube

Week 02: Symmetries

  1. Lec 6: Symmetries and Noether's theorem YouTube
  2. Lec 7: Dynamical Symmetries YouTube
  3. Lec 8: Symmetries in Field Theories YouTube

Week 03: Electromagnetic fields and elasticity

  1. Lec 9: The Relativistic Electromagnetic Field YouTube
  2. Lec 10: Stress-Energy (Energy-Momentum) Tensor YouTube
  3. Lec 11: Green's Theorem and Green's Functions YouTube
  4. Lec 12: Diffraction Theory YouTube
  5. Lec 13: Introduction to Elasticity Theory YouTube

Week 04: Elasticity and Fluids

  1. Lec 14: Solution of the rubber band problem YouTube
  2. Lec 15: The Stress Function Method YouTube
  3. Lec 16: Strain Energy YouTube
  4. Lec 17: The Euler Equation YouTube
  5. Lec 18: Bernoulli's Principle YouTube

Week 05: Fluids and Quantum Systems

  1. Lec 19: Matter, Momentum and Energy Transport YouTube
  2. Lec 20: Stokes' Drag - I YouTube
  3. Lec 21: Stokes' Drag - II YouTube
  4. Lec 22: Towards Quantum Fields YouTube

Week 06: Quantum Systems

  1. Lec 23: Right and Left Movers YouTube
  2. Lec 24: Functional Integration - I YouTube
  3. Lec 25: Functional Integration - II YouTube
  4. Lec 26: Perturbation theory YouTube

Week 07: Path Integrals

  1. Lec 27: Quantum Mechanics using Lagrangians YouTube
  2. Lec 28: Path Integrals - Formalism YouTube
  3. Lec 29: Path Integrals - Free particles YouTube
  4. Lec 30: Path Integrals - Harmonic oscillator YouTube

Week 08: Creation and Annihilation

  1. Lec 31: Creation and annihilation operators - Excitations YouTube
  2. Lec 32: Creation and annihilation operators - Photons YouTube
  3. Lec 33: Creation and annihilation operators - Many-body physics YouTube
  4. Lec 34: Particle and Hole Green functions YouTube
  5. Lec 35: Current Algebra YouTube

Week 09: Lattice Models

  1. Lec 36: Tight Binding Models - I YouTube
  2. Lec 37: Tight Binding Models - II YouTube
  3. Lec 38: Order Parameters YouTube
  4. Lec 39: Schrieffer Wolff Transformation YouTube

Week 10: Green Functions in Grand Canonical Ensemble

  1. Lec 40: Matsubara Green functions - I YouTube
  2. Lec 41: Matsubara Green functions - II YouTube
  3. Lec 42: Self Energy and Spectral Functions YouTube

Week 11: Nonequilibrium Green functions and Coherent state path integrals

  1. Lec 43: S-Matrix Perturbation Theory YouTube
  2. Lec 44: Keldysh Contour YouTube
  3. Lec 45: Bosonic Coherent States YouTube

Week 12: Coherent State Path Integrals and Nonlocal Operators

  1. Lec 46: Fermionic Coherent States YouTube
  2. Lec 47: Nonlocal particle hole operators - Bosons YouTube
  3. Lec 48: Nonlocal particle hole operators - Fermions YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Physics
Teacher
Prof. Girish S. Setlur
Level
Graduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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