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STOCKPILE of LESSONS and PROBLEM SESSIONS

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Submitted by AK-47 on Thu, 12/02/2021 - 10:03

1: Lectures, 2:Problem Sets,

Quantum Field Theory

1

 STOCKPILE OF LESSONS

  • Classical Fields, Lagrangian, Hamiltonian and  Poisson Brackets;Symmetries and Conservation Laws, Noether's Theorem
  • Interaction Picture, Fermi golden rule, S matrixExamples from Quantum Mechanics.
  • The Inhomogeneous Lorentz Group
  • Second Quantization of Schrodinger Field
  • Klein Gordon Field
  • Dirac equation
  • Electromagnetic Field
  • SU(2) group and Yang Mills Field
  • Interaction Hamiltonian, Lorentz invariance, Discrete symmetries
  • S-matrix, Causality and Unitarity. Covariant Perturbation theory             
  • Green functions and Causal propagators
  • Time ordered products and Wick's theorem, 
  • Feynman diagrams, Feynman Rules; More examples of computation of cross sections and life times
  • Higher Orders in Perturbation Theory            

2

 STOCKPILE OF PROBLEM SESSIONS 

  • Classical Fields, Lagrangian, Hamiltonian and  Poisson Brackets;Symmetries and Conservation Laws, Noether's Theorem
  • Interaction Picture, Fermi golden rule, S matrixExamples from Quantum Mechanics.
  • The Inhomogeneous Lorentz Group
  • Second Quantization of Schrodinger Field
  • Klein Gordon Field
  • Dirac equation
  • Electromagnetic Field
  • SU(2) group and Yang Mills Field
  • Interaction Hamiltonian, Lorentz invariance, Discrete symmetries
  • S-matrix, Causality and Unitarity. Covariant Perturbation theory             
  • Green functions and Causal propagators
  • Time ordered products and Wick's theorem, 
  • Feynman diagrams, Feynman Rules; More examples of computation of cross sections and life times
  • Higher Orders in Perturbation Theory            

 

Quantum Mechanics

1

 STOCKPILE OF  LESSONS

QM01-Classical Theories Revisited

2

 STOCKPILE OF  PROBLEM SESSIONS

  • QM01-Classical Theories Revisited
  • QM02-A Quick Review of Vector Spaces
  • QM03-Inner Product Spaces
  • QM04-Infinite Dimensional vector spaces
  • QM05-30 years that shook Physics
  • QM06-Postulates of Quantum Mechanics
  • QM07-Canonical Quantization
  • QM08-Eigenvalues Using Commutators
  • QM09-Time Development
    • QM09/LEC-01 Time Evolution of Quantum Systems-I
    • QM09/LEC-02 Heisenberg Picture of Time Evolution
    • QM09/LEC-03 Time Evolution of Quantum Systems-II
  • QM10 Coordinate and Momentum Representation
    • QM10/LEC-01 Introduction to Representations
    • QM10/LEC-2 Coordinate and Momentum Representation
    • QM10/LEC-03 Change of Representation
  • QM11 Time Dependent Schrodinger Equation 
    • QM11/LEC-01 Road to wave Mechanics — Time Dependent Schrodinger Equation
    • QM11/LEC-02 Schrodinger Equation in Coordinate Representation
    • QM11/LEC-03 Solution of Schrodinger Equation in Coordinate Representation
  • Free Particle and Particle in Box
  • Energy Eigenvalue Problems in One Dimension
  • Reflection and Transmission
  • Problems in Two Dimensions
  • Spherically Symmetric Potential Problems
  • Angular Momentum in Quantum Mechanics
  • Scattering -- Three Dimensions
  • Method of Partial Waves
  • Spin and Identical Particles
  • Variation Method
  • WKB Approximation
  • Time Independent Perturbation Theory
  • Approximation Methods for Time Dependent Problems
  • Semi-Classical Theory of Radiation
  • Quantum Hamilton Jacobi Scheme
  • Foundations of Quantum Mechanics
  • Quantum Information
  • Atomic Physics
  • Molecular Physics
  • Nuclear Physics
  • Elementary Particle Physics
  • Relativistic Quantum Mechanics
  • Second Quantization
  • Symmetries in Classical and Quantum Mechanics
  • Applications of Group Theory in Quantum Mechanics
  • Formal Theory of Scattering

 

 

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