| PHY F215 |
Intro to Astronomy and Astrophysics
Introduction and scope, telescopes, distance and size measurements
of astronomical objects, celestial mechanics, the Sun, planets,
planet formation, interstellar medium, star formation, stellar
structure, stellar evolution, star clusters - open clusters,
globular clusters, the Milky-Way galaxy, nature of galaxies, normal
and active galaxies, Newtonian cosmology, cosmic microwave
background radiation, the early universe.
|
3 |
| PHY F315 |
Theory of Relativity
Special theory of relativity : Experimental background and
postulates of the special theory, Lorentz transformation equations
and their implications, space-time diagrams, Four vectors, tensors
in flat space-time, relativistic kinematics and dynamics,
relativistic electromagnetism. General theory of relativity :
Principle of equivalence, gravitational red shift, geometry of
curved spacetime, Einstein field equation, spherically symmetric
solution of field equation.
|
3 |
| PHY F316 |
Musical Acoustics
Mathematical description of sound waves; physical sound production
by vibrations in different dimensions; perception of music by the
human ear and brain, the scientific meaning of psycho-acoustic
concepts of pitch, loudness and timbre; Fourier analysis as a tool
for characterizing timbre; musical scales, harmonics and tones;
musical instruments with plucked, bowed and struck strings,
wood-wind instruments, reed instruments and the human voice,
percussions instruments such as tympani, and drums; engineering for
sound reproduction in transducers, mikes, amplifiers and
loudspeakers; sound spectrum analysis; basics of signal processing
for electronic music production, filtration and enhancement;
rudiments of room and auditorium acoustics ; hands-on work and
projects.
|
3 |
| PHY F317 |
Introduction to Radio Astronomy
Overview of Astronomy, Stellar and Galactic Astrophysics,
Bremsstrahlung, Synchrotron radiation, free-free radiation, and
Compton scattering, Radiative- transitions/line-emission, The radio
sky and sources of radio signals, Theory of statistical random
signals, Radio telescopes and Radio observations. Techniques of Line
and continuum observations, Pulsar observations. Radio telescopes,
antennas and receivers. Single dish and interferometric
observations, Beam patterns, aperture synthesis and deconvolution,
Phased arrays, Flux and Phase Calibration techniques. Study some
radio telescopes GMRT, VLA, OWFA.
|
3 |
| PHY F346 |
Laser Science and Technology
Introduction to lasers, theory of radiation, laser basics, optical
resonators, longitudinal / transverse modes, pumping of laser media,
Line broadening mechanism, Transient behaviour : Q-switching, mode
locking, devices, techniques. Types of lasers : solid state lasers,
gas lasers, liquid lasers, semiconductor laser, x-ray laser, free
electron laser, maser. Non-linear optics: Phase matching, second
harmonic generation, third harmonic generation, difference frequency
generation, optical parametric generation etc. Applications of
lasers : Industry, medicine, biology, optical /quantum
communication, thermonuclear fusion, isotope separation, holography,
laser cooling etc.
|
3 |
| PHY F412 |
Intro to Quantum Field Theory
Klein-Gordon equation, SU(2) and rotation group, SL(2,C) and Lorentz
group, antiparticles, construction of Dirac spinors, algebra of
gamma matrices, Maxwell and Proca equations, Maxwell's equations and
differential geometry; Lagrangian Formulation of particle mechanics,
real scalar field and Noether's theorem, real and complex scalar
fields, Yang-Mills field, geometry of gauge fields, canonical
quantization of Klein-Gordon, Dirac and Electromagnetic field,
spontaneously broken gauge symmetries, Goldstone theorem,
superconductivity.
|
4 |
| PHY F413 |
Particle Physics
Klein-Gordon equation, time-dependent non-relativistic perturbation
theory, spinless electron-muon scattering and electron-positron
scattering, crossing symmetry, Dirac equation, standard examples of
scattering, parity violation and V-A interaction, beta decay, muon
decay, weak neutral currents, Cabbibo angle, weak mixing angles, CP
violation, weak isospin and hypercharge, basic electroweak
interaction, Lagrangian and single particle wave-equation, U(1)
local gauge invariance and QED, non-Abelian gauge invariance and
QCD, spontaneous symmetry breaking, Higgs mechanism, spontaneous
breaking of local SU(2) gauge symmetry.
|
4 |
| PHY F415 |
General Theory of Relativity and Cosmology
Review of relativistic mechanics, gravity as geometry, descriptions
of curved space-time, tensor analysis, geodesic equations, affine
connections, parallel transport, Riemann and Ricci tensors,
Einstein’s equations, Schwarzschild solution, classic tests of
general theory of relativity, mapping the universe, Friedmann-
Robertson-Walker (FRW) cosmological model, Friedmann equation and
the evolution of the universe, thermal history of the early
universe, shortcomings of standard model of cosmology, theory of
inflation, cosmic microwave background radiations (CMBR),
baryogenesis, dark matter & dark energy.
|
3 |
| PHY F416 |
Soft Condensed Matter
Forces, energies, timescale and dimensionality in soft condensed
matter, phase transition, mean field theory and its breakdown,
simulation of Ising spin using Monte Carlo and molecular dynamics,
colloidal dispersion, polymer physics, molecular order in soft
condensed matter – i) liquid crystals ii) polymer, supramolecular
self assembly.
|
4 |
| PHY F417 |
Experimental Methods of Physics
Vacuum techniques, sample preparation techniques, X-ray diffraction,
scanning probe microscopy, scanning electron microscopy, low
temperature techniques, magnetic measurements, Mossbauer and
positron annihilation spectroscopy, neutron diffraction, Rutherford
backscattering, techniques in nuclear experimentation, high energy
accelerators.
|
4 |
| PHY F419 |
Advanced Solid State Physics
Schrodinger field theory (second quantized formalism), Bose and
Fermi fields, equivalence with many body quantum mechanics,
particles and holes, single particle Green functions and
propagators, diagrammatic techniques, application to Fermi systems
(electrons in a metal, electron – phonon interaction) and Bose
systems (superconductivity, superfluidity).
|
4 |
| PHY F420 |
Quantum Optics
Quantization of the electromagnetic field, single mode and multimode
fields, vacuum fluctuations and zero-point energy, coherent states,
atom - field interaction - semiclassical and quantum, the Rabi
model, Jaynes-Cummings model, beam splitters and interferometry,
squeezed states, lasers.
|
4 |
| PHY F421 |
Advanced Quantum Mechanics
Symmetries, conservation laws and degeneracies; Discrete symmetries
- parity, lattice translations and time reversal; Identical
particles, permutation symmetry, symmetrization postulate,
two-electron system, the helium atom; Scattering theory - Lippman-
Schwinger equation, Born approximation, optical theorem, eikonal
approximation, method of partial waves; Quantum theory of radiation
- quantization of electromagnetic field, interaction of
electromagnetic radiation with atoms; relativistic quantum mechanics
|
4 |
| PHY F422 |
Group theory and Applications
Basic concepts – group axioms and examples of groups, subgroups,
cosets, invariant subgroups; group representation – unitary
representation, irreducible representation, character table, Schur’s
lemmas; the point symmetry group and applications to molecular and
crystal structure; Continuous groups – Lie groups, infinitesimal
transformation, structure constants; Lie algebras, irreducible
representations of Lie groups and Lie algebras; linear groups,
rotation groups, groups of the standard model of particle physics.
|
4 |
| PHY F423 |
Special Topics in Statistical Mechanics
The Ising Model – Definition, equivalence to other models,
spontaneous magnetization, Bragg- William approximation, Bethe-
Peierls Approximation, one dimensional Ising model, exact solution
in one and two dimensions; Landau’s mean field theory for phase
transition – the order parameter, correlation function and
fluctuation-dissipation theorem, critical exponents, calculation of
critical exponents, scale invariance, field driven transitions,
temperature driven condition, Landau-Ginzberg theory, two-point
correlation function, Ginzberg criterion, Gaussian approximation;
Scaling hypothesis – universality and universality classes,
renormalization group; Elements of nonequilibrium statistical
mechanics – Brownian motion, diffusion and Langevin equation,
relation between dissipation and fluctuating force, Fokker-Planck
equation
|
4 |
| PHY F424 |
Advanced Electrodynamics
Review of Maxwell’s equations – Maxwell’s equations, scalar and
vector potentials, gauge transformations of the potentials, the
electromagnetic wave equation, retarded and advanced Green’s
functions for the wave equation and their interpretation,
transformation properties of electromagnetic fields; Radiating
systems – multipole expansion of radiation fields, energy and
angular momentum of multipole radiation, multipole radiation in
atoms and nuclei, multipole radiation from a linear, centre-fed
antenna; Scattering and diffraction – perturbation theory of
scattering, scattering by gases and liquids, scattering of EM waves
by a sphere, scalar and vector diffraction theory, diffraction by a
circular aperture; Dynamics of relativistic particles and EM fields
– Lagrangian of a relativistic charged particle in an EM field,
motion in uniform, static electromagnetic fields, Lagrangian of the
EM fields, solution of wave equation in covariant form, invariant
Green’s functions; Collisions, energy loss and scattering of a
charged particle, Cherenkov radiation, the Bremsstrahlung; Radiation
by moving charges – Lienard-Wiechert potentials and fields, Larmor’s
formula and its relativistic generalization; Radiation damping –
radiative reaction force from conservation of energy,
Abraham-Lorentz model.
|
4 |
| PHY F426 |
Physics of Semiconductor Devices
Basics-Crystal structure, Wave Mechanics and the Schrodinger
Equation, Free and Bound Particles, Fermi energy, Fermi-Dirac
Statistics, Fermi level, Density of states, Band Theory of Solids,
Concept of Band Gap, direct and indirect band gap, equation of
motion, electron effective mass, concept of holes, Doping in
semiconductors, Carrier transport - transport equations, Generation
/ Recombination Phenomena, Semiconductor processing and
characterization, p-n junction, metal-semiconductor contacts, MOS
capacitors, JFET, MESFET, MOSFET, Heterojunction devices, Quantum
effect, nanostructures, Semiconductor and Spin Physics, Magnetic
Semiconductors
|
4 |
| PHY F428 |
Quantum Information Theory
Classical Information, probability and information measures, methods
of open quantum systems using density operator formalism, quantum
operations, Kraus operators. Measurement and information, Entropy
and information, data compression, channel capacity, Resource theory
of quantum correlations and coherence, and some current issues.
|
3 |
| PHY F431 |
Geometric Methods in Physics
Manifolds, tensors, differential forms and examples from Physics,
Riemannian geometry, relevance of topology to Physics, integration
on a manifold, Gauss theorem and Stokes’ theorem using integrals of
differential forms, fibre bundles and connections, applications of
geometrical methods in Classical and Quantum Mechanics,
Electrodynamics, Gravitation, and Quantum field theory. Rotations in
real complex and Minkowski spaces laying group theoretical basis of
3-tensors and 4 tensors and spinors, transition from a discrete to
continuous system, stress energy tensor, relativistic field theory,
Noether’s theorem, tensor and spinor fields as representation of
Lorentz group, action for spin-0 and spin-1/2, and super-symmetric
multiplet, introduction of spin-1, spin-2 and spin-3/2 through
appropriate local symmetries of spin-0 and spin-1/2 actions.
|
3 |
| PHY F433 |
Topics in Non-linear Optics
In this course, the nonlinear processes which take place during the
interaction of light with matter will be studied in medium intensity
(10 3 to 10 8 W/cm 2 ) to high and ultra- high intensity (10 9 to 10
21 W/cm 2 ) regimes. The nonlinear optics in the medium intensity
regime in dielectric materials will cover basic concepts of
nonlinear susceptibility, phase matching etc. and will discuss all
major second order and third order non-linear effects. The high
intensity laser-plasma interaction will cover processes of laser
light absorption in plasma at high and ultra-high intensities,
nonlinear processes in plasma, and light- matter interaction
processes at ultra-high intensities. After studying the nonlinear
physical processes happening in these intensity regions, four useful
applications in four intensity regimes will be discussed.
|
3 |
An Institute of Eminence
