PH3102 : Electricity and Magnetism II (Autumn 2012) | Academic Portal of IISER Kolkata

Details of PH3102 (Autumn 2012)

Level: 3

Type: Theory

Credits: 3.0

Course Code	Course Name	Instructor(s)
PH3102	Electricity and Magnetism II	Anandamohan Ghosh

Syllabus
Boundary value problems in electrostatics. Neumann and Dirichlet problems, Formal solutions using Green's function. Examples. Multipole expansion of electrostatic potential due to an arbitrary bounded charge distribution. Mulipole moments of a uniformly charged spheroid. Applications to problems on discrete and continuous charge distributions. Energy density in a dielectric. Mechanical force on a dielectric in an electrostatic field. Lorentz force. Lagrangian and Hamiltonian for a charged particle in an external electromagnetic field. Field equations and the energy momentum tensor of an electromagnetic field by the variational principle. Angular momentum. Relativistic electrodynamics : Maxwell's equations. Potentials and gauge invariance. Lorentz and Coulomb gauge. Electromagnetic field tensors and their transformations. Lorentz invariance of Maxwell's equations. The electromagnetic field of a uniformly moving charged particle and its relativistic limit. Coulomb collision. Energy transfer. The wave equation in electromagnetism a recapitulation. Solution of the inhomogeneous wave equation for potentials. Retarded potentials. The Lennard-Wiechart potential. Field due to an arbitrarily moving point charge. Radiation from an accelerated charge. Larmor's formula and its relativistic generalization. Angular distribution and frequency distribution of the radiation from an accelerated point charge. Radiation emitted by a charge in circular motion e.g. in accelerators. Radiation emitted by an ultra-relativistic charge. Cerenkov radiation. Thomson scattering. Radiation damping. The radiation reaction force and its connection to the conservation of energy. Line width and level shift due to radiation damping. Propagation of electromagnetic waves in a dielectric medium. Dispersion and absorption in a medium. Solitons. Causality and information velocity. The Kramers-Kronig relations. The Lorentz-Lorenz formula for the dielectric constant of a medium. Lorentz theory of dispersion. The Cauchy formula.

Syllabus

Boundary value problems in electrostatics. Neumann and Dirichlet problems, Formal solutions using Green's function. Examples.

Multipole expansion of electrostatic potential due to an arbitrary bounded charge distribution. Mulipole moments of a uniformly charged spheroid. Applications to problems on discrete and continuous charge distributions.

Energy density in a dielectric. Mechanical force on a dielectric in an electrostatic field.

Lorentz force. Lagrangian and Hamiltonian for a charged particle in an external electromagnetic field. Field equations and the energy momentum tensor of an electromagnetic field by the variational principle. Angular momentum.

Relativistic electrodynamics : Maxwell's equations. Potentials and gauge invariance. Lorentz and Coulomb gauge. Electromagnetic field tensors and their transformations. Lorentz invariance of Maxwell's equations. The electromagnetic field of a uniformly moving charged particle and its relativistic limit. Coulomb collision. Energy transfer.

The wave equation in electromagnetism a recapitulation. Solution of the inhomogeneous wave equation for potentials. Retarded potentials. The Lennard-Wiechart potential. Field due to an arbitrarily moving point charge. Radiation from an accelerated charge. Larmor's formula and its relativistic generalization. Angular distribution and frequency distribution of the radiation from an accelerated point charge. Radiation emitted by a charge in circular motion e.g. in accelerators. Radiation emitted by an ultra-relativistic charge. Cerenkov radiation. Thomson scattering. Radiation damping. The radiation reaction force and its connection to the conservation of energy. Line width and level shift due to radiation damping.

Propagation of electromagnetic waves in a dielectric medium. Dispersion and absorption in a medium. Solitons. Causality and information velocity. The Kramers-Kronig relations. The Lorentz-Lorenz formula for the dielectric constant of a medium. Lorentz theory of dispersion. The Cauchy formula.

References
L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 2 : Classical theory of Fields, Butterworth-Heinemann, London (1998). L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 8 : Electrodynamics of continuous media, Butterworth-Heinemann, London (1984). J. D. Jackson, Classical Electrodynamics, John Wiley and Sons (1975). W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism, Dover Publications (2005) H. C. Ohanian, Classical Electrodynamics, Infinity Science Press(2007). A. Das, Lectures on electromagnetism, Rinton Press (2004).

References

L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 2 : Classical theory of Fields, Butterworth-Heinemann, London (1998).
L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 8 : Electrodynamics of continuous media, Butterworth-Heinemann, London (1984).
J. D. Jackson, Classical Electrodynamics, John Wiley and Sons (1975).
W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism, Dover Publications (2005)
H. C. Ohanian, Classical Electrodynamics, Infinity Science Press(2007).
A. Das, Lectures on electromagnetism, Rinton Press (2004).

Course Credit Options

Sl. No.	Programme	Semester No	Course Choice
1	IP	1	Core
2	IP	3	Not Allowed
3	MS	5	Core
4	RS	1	Not Allowed

WeLearn :: Academic Portal of IISER Kolkata

Details of PH3102 (Autumn 2012)

Course Credit Options