National University of Sciences and Technology
Nust Home
ALUMNI
Contact Us
Home
All Courses
Home
>
Courses Detail
Home

Back
PHY920 Classical Field Theory
Campus
SNS
Programs
PG
Session
Fall Semester 2016
Course Title
Classical Field Theory
Course Code
PHY920
Credit Hours
30
PreRequisutes
Course Objectives
Objectives:
To introduce MPhil students to basic concepts of Field Theory
Outcomes:
Students will understand,
Special theory of Relativity
Variational approach in physics
Physics of continuous media
Maxwell's equations
theory of electromagnetic waves and radiation
Detail Content
Development of preNewtonian and Newtonian mechanics. Need for Special Relativity (SR) and the Lorentz transformations for 1 and 3d motion. Vector treatment of Lorentz transformations. Problems. Introduction to tensors. Four vector formulation of SR. Problems. Mass and energy in SR. Applications to Doppler and Compton effects, particle scattering, binding energy, particle production and decay. Problems. Functionals and functions. Differentiation of functionals relative to functions. The action integral and the objective functional. The calculus of variations. The brachistochrone problem. The Euler equation. Optimization. The EulerLagrange equations. The action for a point particle in SR and the EL equations. The general formulation of the Lagrangian for any field and the stressenergymomentum tensor. The virial theorem. The laws of Coulomb, Gauss, Faraday, Ampere and Lorentz in 3dimensional and 4vector notation. The 4vector potential and the Maxwell tensor; Maxwell’s equations, equation of continuity. Lagrangian and Hamiltonian formulations of electromagnetism. Gauge invariance. Motion in an electromagnetic field. Action functional of electromagnetic field. The electromagnetic field equations and stressenergy tensor. The energy density and energy flux. The virial theorem. The dipole and multipole moments. The multipole moment expansion of the static field. System of charges in an external field. Larmor’s theorem. Electromagnetic waves; plane waves; monochromatic plane waves; spectral resolution. Fourier resolution of the electrostatic field. Characteristic vibrations. Geometrical optics. Limits of geometrical optics. Fresnel and Fraunhoffer diffraction. Retarded potentials. LienardWiechert potentials. Spectral resolution. The Lagrangian to second order. Field of system of charges at large distances. Electromagnetic radiation: multipole expansion; dipole and quadrupole radiation. The field at near distances. Synchrotron radiation. Radiation damping. Introduction to the Proca and YangMills fields. Review of material.
Text/Ref Books
Main Textbook:
The Classical Theory of Fields
Author:
L.D. Landau and E.M. Lifshitz (LL)
Publisher:
Pergamon Press 1962
Textbooks:
Relativity: An Introduction to the Special Theory
Author:
Asghar Qadir (World Scientific, 1989)
Time Schedule
Fall Semester 2014
Faculty/Resource Person
Dr. Riwan Khalid
PhD, Physics (Delaware, USA)
Discipline: High Energy Physics