Список всех тем лекций

Lecture 1. Classical Fields and Symmetries.
Introduction Classical Fields and Symmetries Questions

Lecture 2. Tensor Fields, Euler-Lagrange Equations, Lorentz Transformations.
Recap Multidimentional Systems Tensors and Tensor Fields Action Principle and Euler–Lagrange Equations Lorentz and Poincaré Groups Next Lecture Topic

Lecture 3. Lorentz and Poincare Groups, Noether's Theorem.
Recap (Lorentz Transformation, Lorentz Boost) Lie Algebra of Poincare Group Noether's Theorem

Lecture 4. Applications of Noether's Theorem. Conservation Laws and Symmetries.
More on Noether's Theorem Applications of Noether's Theorem to Certain Examples of Symmetry Transformations Improvement Procedure Answers to Students' Questions

Lecture 5. Conserved Charges as Symmetry Generators. Klein–Gordon Field. Mass-Shell Condition.
Conserved Charges as Symmetry Generators Example Klein–Gordon Field Mass-Shell Condition Questions

Lecture 6. More on Klein–Gordon Equation. Canonical Quantization.
Mass-Shell Condition Infinite Collection of Harmonic Oscillators Canonical Quantization Canonical Commutation Relations Construction of Representation Questions

Lecture 7. Second Quantization. Commutation and Green's Functions, Pauli–Jordan Function.

Lecture 8. Retarded and Advanced Green's Functions. Feynman Propagator. Yukawa Force.

Lecture 9. Yukawa Force. Dirac Equation.

Lecture 10. The Dirac Equation and Lorentz Transformations.

Lecture 11. Lorentz Boosts, Parity.

Lecture 12. Time Reversal, Weyl Spinors and Weyl Equations.

Lecture 13. Solution of the Dirac Equation.

Lecture 14. Charge Conjugation and Anti-Particles.