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[LSN/QFT-ALL]: Quantum Field Theory --- Stockpile of Lessons

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Module I :: Classical Field Theory

I-1 Overview of Module-I
I-2 Let's Just Talk --- With as few equations as possible

I-3 Chalk Talks --- Tighten Your Belts

I-3.1 Chalk Talk:: Functional Derivative;
I-3.2 Chalk Talk:: Action principle; Euler Lagrange formalism
I-3.3 Chalk Talk:: Hamiltonian Formulation and Poisson Brackets
I-3.4 Examples: Lagrangian and Hamiltonian for different systemsPoisson Bracket

I-4 Activities --- Learn by Solving Problems

I-5:: EndNotes and References

Module II:: Second Quantization of Schrodinger Field
Module III:: Preparation From Quantum Mechanics-I:: Time Dependent Perturbation Theory
Module IV:: Computation of Cross Sections and Life Times-I
Module V:: Preparation from Relativistic Quantum Mechanics-I --- Klein Gordon Equation
Module VI:: Quantization of Klein Gordon Field
Module VII:: Quantization of Electromagnetic Field
Module VIII:: Preparation from Relativistic Quantum Mechanics-II ---- Dirac Equation
Module IX:: Quantization of Dirac equation
Module-X:: Symmetries and Conservation Laws
Module-XI:: S- Matrix, Schwinger Dyson Expansion, and Wick's Theorem
Module-XII:: Feynman Diagrams and Feynman Rules
Module- XIII:: Computation of Processes --- Tree Diagrams
Module-XIV:: Higher Order Calculation
Module-XV:: Anomalous Magnetic Moment of Electron

Quantum Field Theory

This self paced course is planned to have 15 modules given below;r

The red colour indicates an item that are required as prerequisites and that will included as part of this course.

Course Overview, subject to changes and adjustments as the course progresses
Module-I:: Classical Field Theory
Module-II:: Second Quantization of Schrodinger Field

Session II-.1 :: Recall quantization of classical systems
Session II.2:: QM as Classical Field Theory; Electromagnetic Interactions
Session II.3:: Canonical Quantization and Fock space

Module-III:: Preparation form Quantum Mechanics --- Time Dependent Perturbation Theory

Session III.1 :: Preparation ::Time Dependent Perturbation Theory
Session III.2 :: Transition to contiuum and Fermi golden rule
Session III.3 :: Born Approximation

Module-IV::Computation of Cross Sections

Computation of matrix elements
Cross section in second quantized Schrodinger Theory

Module-V:: Preparation from Relativistic Quantum Mechanics-I

Session V-1 :: Relativistic Notation, Summation convention etc
Session V-2 :: Free Particle Solution Klein Gordon Equation

Module-VI:: Second Quantization of Klein Gordon Field

Session VI-1:: Quantization of Klein Gordon Field and Fock Space
Session VI-2: Computation of Cross Sections and Life Times

Module-VII:: Quantization of Electromagnetic Field

Session VII-.1:: Maxwell Equations, Coulomb Gauge Quantization
Session VII-.2:: Processes Involving Photons.

Module-VIII:: Preparation from Relativistic Quantum Mechanics-II

Session VIII-1:: Dirac Equation, Covariant Form of Dirac Equation
Session VIII-2:: Plane Wave Solutions
Session VIII-3:: Properties of Plane Wave Solutions
Session VIII-4:: Spin Sums -- Projection Operators
Session VIII-5:: Properties of Dirac Matrices -- Calculation of Traces

Module-IX :: Quantization of Dirac Field

Session IX-1 :: Canonical Anti Commutation Relations
Session IX-2 :: Number Representation and Fock Space
Session IX-3 :: Life Times and Cross Sections

Module-X:: Symmetries and Conservation Laws
Module-XI:: S- Matrix, Schwinger Dyson Expansion, and Wick's Theorem
Module-XII:: Feynman Diagrams and Feynman Rules
Module-XIII:: Computation of Processes --- Tree Diagrams
Module-XIV:: Higher Order Calculation
Module-XV:: Anomalous Magnetic Moment of Electron

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