Page 49 - CatalogNEP-PS

Electrodynamics befor Maxwell, Maxwell's equations, magnetic charge, magnetic equation in
matter, boundary conditions, Charge, energy and momentum conservation: The continuity
equation, Poynting‘s theorem, Newton‘s Third law in Electrodynamics, Maxwell‘s stress tensor,
conservation of momentum, angular momentum
Electromagnetic waves
Waves in one dimension: The wave equation, Sinusoidal waves. Boundary Conditions: Reflection
and Transmission, Polarization. Electromagnetic waves in Vacuum: The wave equation in E and
B, Monochromatic plane waves, Energy and momentum in Electromagnetic waves.
Electromagnetic waves in Matter: propagation in liner media, reflections and transmissions at:
normal incidence and oblique incidence. Absorption and Dispersion: Electromagnetic waves in
conductors, reflection at a conducting surface, the frequency dependence of permittivity. Guided
Waves: wave guides, the waves in a rectangular wave guide, the coaxial transmission line

UNIT 2 (15 Hours)
Potentials and fields: The potential formulations, scalar and vector potentials, Gauge
Transformations, Coulomb Gauge and Lorentz Gauge
Radiation from time-dependent sources of charges and currents: Inhomogeneous wave equations
and their solutions; Radiation from localised sources and multipole expansion in the radiation
zone.
Radiation from moving point charges
Lienard- Wiechert potentials; Fields due to a charge moving with uniform velocity; Fields due to
an accelerated charge; Radiation at low velocity; Larmor‘s formula and its relativistic
generalisation; Radiation when velocity (relativistic) and acceleration are parallel,
Bremsstrahlung; Radiation when velocity and acceleration are perpendicular, Synchrotron
radiation; Cherenkov radiation; Radiation reaction, Problem with Abraham-Lorentz formula,
Limitations of classical theory.

UNIT 3 (15 Hours)
Relativistic formulation of electrodynamics: Introduction to special relativity: Postulates of
Einstein, Geometry of relativity, Lorentz transformations. Relativistic mechanics: Proper time,
proper velocity, Kinematics and dynamics. Four vector notation, Electromagnetic field tensor,
covariance of Maxwell‘s equations.
Quantum electrodynamics: Classical electromagnetic fields and quantization problems, Modified
Lagrangian, propagator, Fourier decomposition, Feynman rules for photons, Local Gauge
invariance and it's consequences: SU(1), SU(2) and SU(3).
*
Tutorial(15 Hours) one hour per week

SUGGUESTED READINGS:

1. D. J. Griffiths: Introduction to electrodynamics, Prentice Hall.
2. W. Panofsky and M. Phillips: Classical electricity and magnetism, Addison Wesley.
3. J. Marion and M. Heald: Classical electromagnetic radiation, Saunders college publishing.
4. L. Landau and E. Lifshitz: Classical theory of fields, Pergamon Press.
5. J. Jackson: Classical electrodynamics, Wiley international.
6. M. Schwartz: Classical electromagnetic theory, Dover publication

Phys.423 Nuclear and Particle Physics-II 3+1*

LEARNING OBJECTIVES:

The primary aim of this course is to:

34