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WORK IN PROGRESS
1: Notes for Lectures, 2: Problems
1. Classical Fields
1
Notes for Lectures
- 1.1 Examples of Classical Fields
- 1.2 Functional Derivative
- 1.3 Action Functional for Classical Fields
- 1.4 Hamiltonian Formulation of Classical Fields
- 1.5 Continuous Symmetries
- 1.6 Noether's Theorem
- 1.7 Noether's Theorem --- Summary for Particles
- 1.8 Noether's Theorem --- Summary for Fields
- 1.9 Noether's Theorem --- Counter Examples
2
2. Interaction Picture
3. Symmetries and Conservation Laws
1
Notes for Lectures
2
4. Second Quantization
1
Notes for Lectures
- Reinterpretation of Wave Equation
- Classical Schrodinger Field
- Second Quantization of Schrodinger Equation;
- Definition of Operators a, a^\dagger and N
- Commutation Properties of a, a^\dagger and N
- Summary of Properties of a, a^\dagger, N
- Simultaneous eigenvectors as basis
- Physical Interpretation of Particle Number States
- Connection with Quantum Mechanics Second Quantized Theory of Fermions
- Physical Interpretation of States and Field Operator
- Normal Products,
- Matrix Element\(\S\)
- The S Matrix\(\S\)
- S Matrix in the First Order
2
Problems
- Problem/QFT04-001
- Problem/QFT04-002
- Problem/QFT04-003
- Problem/QFT04-004
- Problem/QFT04-005
- Problem/QFT04-006
- Problem/QFT04-007
- Problem/QFT04-008
- Problem/QFT04-009
- Problem/QFT04-010
- Problem/QFT04-011
- Problem/QFT04-012
- Problem/QFT04-013
- Problem/QFT04-014
5. Klein Gordon Equation
1
Notes for Lectures
2
Problems
- Problem/QFT05-001
- Problem/QFT05-002
- Problem/QFT05-003
- Problem/QFT05-004
- Problem/QFT05-005
- Problem/QFT05-006
- Problem/QFT05-007
QFT-06 Dirac Equation
1
Notes for Lectures
- LEC/QFT06-001 Overview of Dirac Equation
- LEC/QFT06-002 Properties of Dirac Matrices
- LEC-QFT06-003 Dirac Equation --- Equation of Continuity
- LEC-QFT06-004Charge Conjugation of Bilinear Covariants
- LEC-QFT06-005 DIscrete Symmetries of DIrac Equation in One Particle and QFT
- LEC/QFT06-006 Time Reversal and Bilinear Covariants
- LEC/QFT06-008 Explicit form of Charge Conjugation and Time Reversal Matrices
- LEC/QFT06-009 Covariant Description of Spin and Free Particle Dirac Wave Function
2
Problems
- Problem/QFT-06001
- Problem/QFT-06002
- Problem/QFT-06003
- Problem/QFT-06004
- Problem/QFT-06005
- Problem/QFT/06006 Projection Operators
- Problem/QFT/06007
- Problem/QFT/06008
- Problem/QFT06-009
- Problem/QFT06-010
- Problem/QFT06-011
- Problem/QFT06-012
7. Electromagnetic Field
1
Notes for Lectures
2
Problems
8. SU(2) group and Yang Mills Field
1
Notes for Lectures
2
Problems
9. Interaction Hamiltonian, Lorentz invariance, Discrete symmetries
1
Notes For Problems
2
Problems
10. S-matrix, Causality and Unitarity. Covariant Perturbation theory
1
Notes for Lectures
2
Problems
- Problem/QFT10-001
11. Time ordered products and Wick's theorem,
1
Notes for Lectures
- LEC/QFT11 Green functions and Causal propagators Time ordered products and Wick’s theorem
- LEC/QFT11 The Feynman propagator $\Delta_F(x-y)$ as Green Function
- LEC/QFT11 Momentum Space Feynman Propagator for Scalar Field
2
Problems
- Problem/QFT11-001
- Problem/QFT11-002
- Problem/QFT11-003
- Problem/QFT11-004
- Problem/QFT11-005
- Problem/QFT-11006
12.Feynman diagrams, Feynman Rules
1
Notes for Lectures
2
Problems
13. Higher Orders in Perturbation Theory
1
Notes for Lectures
2
Problems
14. One Loop Computation
1
Notes for Lectures
2
Problems
15 Computing Cross Sections and Life Times
1
Notes for Lectures
2
Problems
- Problem/QFT15-002 \(\Lambda \)Hyperon Decay
- Problem/QFT15-001 Pair creation probability per unit volume
- Problem/QFT15-003
- Problem/QFT15-004
- Problem/QFT15-005 Charged Poin Decay
- Problem/QFT15-006 Relativistic Coulomb scattering of Dirac Particle
- Problem/QFT15-007
- Problem/QFT15-008, Neutral pion scattering ( Identical Particles)
- Problem/QFT15-009 Charged pion \(\pi^+ \pi^-\) scattering
- Problem/QFT15-010 \(\pi^+ \pi^0\) Scattering
- Problem/QFT15-011 Rutherford Scattering in Second quantized Schrodinger equation
- Problem/QFT15-012 Cross section ; symmetry factors
- Problem/QFT15-013 Relativistic Rutherford Scattering
- Problem/QFT15-014
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