Special relativity, Minkowski space and four vectors, concept of four-velocity, four acceleration and higher rank tensors, relativistic formulation of electrodynamics, classical fields, Action formulation, symmetries, Noether’s theorem, canonical quantization of the scalar, spin ½ fields, and Gauge bosons, relativistic particles in external electromagnetic fields, Gauge invariance, Gauge orbits and four-potential, Bianchi Identities and electromagnetic energy momentum tensor, solution of wave equation in covariant formulation, invariant Green's functions, Green function for wave equation: advanced and retarded. Radiating systems, fields and radiation from an accelerated charge, dispersion theory, scattering by free charges, Scalar diffraction (Kirchhoff theory), Elementary treatment of self-energy and radiative corrections, divergence and renormalization, Introductory quantum electrodynamics. |
Text/Reference Books:
- Jackson J. D., Classical Electrodynamics, John Wiley (Asia).
- Peskin M. E. and Schroeder D.V., Introduction to Quantum Field Theory, Addison- Wesley.
- Landau L.D. and Lifshitz E. M., Electrodynamics of Continuous Media, Butterworth Heimemann.
- Reitz J. R. and Millford F. J., Foundation of Electromagnetic Theory, Narosa.
- Schwinger Julian, Classical Electrodynamics, Perseus Books.
- Parrott Stephen, Relativistic Electrodynamics and Differential Geometry, Springer.
- Woodhouse N. M. J., Special Relativity (Springer Undergraduate Mathematics Series),Springer.
- Helliwell T. M., Special Relativity, University Science Books.
- Weinberg S., Quantum Field Theory, Vols. I, II, III, Cambridge University Press.
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