PhD course Structure and detailed Syllabi

Total Credit=26
PhD Course Syllabus for One semester Course
structure PH
702 Electrodynamics
(3006) Preamble: Quantum Mechanics, Electrodynamics, Statistical
Mechanics and Experimental and Numerical Techniques are the basic topics
routinely applied to almost all areas of research in Physics. Students, who
join IIT Guwahati for the Ph.D. program in Physics,
are expected to have sound knowledge of these subjects, before they start
working on their research topic. Main goal of these courses is to make them
able to apply the physical concepts in realistic situations. Strong emphasis
will be given in discussing problems related to various topics in the syllabus.
Course contents: Maxwell’s equations, Green
function formalism and boundary value problems in electrostatics and magnetostatics, Poynting’s
theorem and Gauge transformations, Electromagnetic waves in dielectric and conducting
media; Waveguide and resonant cavity; Radiation: Retarded potential, Field
and radiation of a localized Oscillating source,
Electric dipole radiation, Centerfed linear antenna, LienardWiechert
potential, radiation by nonrelativistic and relativistic
charges, angular distribution of radiation; Scattering: scattering at long
wavelengths, Thomson and Rayleigh scattering, Born approximation; Relativistic
electrodynamics: covariant formalism of Maxwell’s equations. Texts
/ References: 1. J.
D. Jackson, Classical Electrodynamics,
John Wiley, 1999. 2. L.
D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, Butterworth, 1995. 3. H.
J. W. Muller Kirsten, Electrodynamics,
World Scientific, 2011. 4. G.
S. Smith, Classical Electromagnetic
Radiation, Cambridge, 1997. PH
703 Quantum
Mechanics (3006) Solution of Schrodinger equation for
potential problems: free particle in a spherical cavity, delta potential, tunnelling through a barrier, harmonic oscillator,
charged particle in a uniform magnetic field; Ahranov–Bohm
Effect; Orbital and spin angular momentum, addition of angular momenta, ClebschGordon
coefficients, Hydrogen atom, applications of time independent and dependent
perturbation theory, scattering theory, Born approximation, KleinGordon and
Dirac equations. Texts/References: 1. F.
Scheck, Quantum Physics, Springer,
2009. 2. V.B.
Berestetskii, E.M. Lifshitz
and L. P. Pitaevskii, Quantum Electrodynamics, 2^{nd} Edn.,
Elsevier Butterworth Heinemann, 2008. 3. L.
D. Landau and E. M. Lifshitz, Quantum Mechanics, 3^{rd} Edn., Elsevier Butterworth
Heinemann, 2005. 4. D.
J. Griffiths, Introduction to Quantum
Mechanics, Pearson Education, 2005. 5. K.
Gottfried and TM Yan, Quantum
Mechanics: Fundamentals, 2^{nd} Edn., Springer, 2003. 6. J.
J. Sakurai, Modern Quantum Mechanics,
Pearson Education, 2002. 7. J.J.
Sakurai, Advanced
Quantum Mechanics, Pearson Education, 2002. 8. W.
Greiner, Quantum mechanics: Special
chapters, Springer, 1997. 9. R.
Shankar, Principles of Quantum
Mechanics, Springer, 2^{nd} Edn., 1994. PH
704 Statistical Mechanics (3006) Ensemble theory, Quantum Ideal
gases, Maxwell Boltzmann, FermiDirac, and BoseEinstein statistics;
Application of different statistics: BoseEinstein condensation, free Fermi
gas, statistical equilibrium of white dwarf stars; Classical transport
theory, Boltzmann transport equation; Simple interacting systems: Ising model, Cluster expansions, Transfer matrix;
Critical phenomena: GinzburgLandau density
functional, Critical exponents and scaling relations. Texts / References: 1. R.
K. Pathria and P.D. Beale, Statistical Mechanics, Academic Press,3^{rd}
edn., 2011. 2. K.
Huang, Statistical Mechanics, John
Wiley Asia, 2000. 3. W.
Greiner, L. Neise, and H. Stocker, Thermodynamics and Statistical Mechanics,
Springer, 1995. 4. M.
Plishke and B. Bergersen,
Equilibrium Statistical Mechanics,
World Scientific, 2^{nd} Edn., 1994. 5. D.
Chandler, Introduction to Modern
Statistical Mechanics, Oxford University Press, 1987. PH
706 Experimental
and Numerical Techniques
(2128) Sensors and Instruments:
Electric, magnetic, and optical sensors; Signal averaging and lockin
detection, LASERs, constant current and voltage sources; Measurement of Physical
properties, generation and measurement of vacuum; Analytical Instruments:
Xray diffractometer, spectrometers, microscopes,
optical spectrum analyser; Error analysis: Root finding
methods, linear and nonlinear curve fitting; Eigenvalue
problem; Numerical integration and differentiation; Ordinary differential
equations; Partial differential equations:
elliptic, hyperbolic, parabolic equations. Laboratory component: Physical
parameter measurement using sensors/instruments. Demonstration and data collection
of various analytical instruments. Seminar Component: Students will
have to present seminar on selected topics towards the latter part of the
course. Texts
/ References: 1. R.
H. Landau, M. J. Paez and C. C. Bordeianu,
Computational Physics: Problem Solving
with Computer, Wiley Vch Verlag
Gmbh & Co. KGaA,
2007. 2. T.
Pang, An Introduction to Computational
Physics, Cambridge University Press, 2006. 3. S.
C. Chapra and R. P. Canale,
Numerical Methods for Engineers,
Tata McGraw Hill, 2002. 4. A.
D. Helfrick and W.D.Cooper,
Modern Electronic Instrumentation and
Measurement Techniques, PHI, 1996. 6. J.
P. Bentley, Principles of measurement
systems, Pearson Education Ltd, England, 2005. 7. A.
S. Morris and R. Langari, Measurement and Instrumentation: Theory and Application, Academic
Press, London, 2012. 8. A.
Ghatak and K.Thyagarajan,
Optical Electronics, Cambridge
University Press, 1991. 9. D.
A. Skoog, F. J. Holler and T. A. Nieman, Principles
of Instrumental Analysis, Saunders Coll. Publ., 1998. 