These are the three courses which will be offered from Theoretical
Physics department from September 1, 2009.
Course Title: Analysis of complex functions of one variable
Instructor : Koushik Ray, Theoretical Physics, IACS
1] Analytic functions --- definition, examples, properties
2] Complex integration --- homotopy, residues, Cauchy's theorem
3] Applications --(p) evaluating improper integrals
(q) series summation
(r) interpolation formulas
(s) saddles
(t) Mellin-Barnes' method
(u) use of analyticity in scattering amplitudes in QCD
Number of Lectures: 30 (approx)
Course Title :Quantum Mechanics
Instructor: Pushan Majumdar (Dept. of Theoretical Physics, IACS).
Duration : Sept. - Dec. 2009 (3 times a week)
Prerequisites : Two courses in Quantum Mechanics
Outline
1. Formalism of Quantum Mechanics (10 lectures)
2. Time independent perturbation theory (3 lectures)
3. Time dependent perturbation theory (3 lectures)
4. Scattering (3 lectures)
5. Path Integral (6 lectures)
6. Relativistic Quantum Mechanics (5 lectures)
N.b. The number of lectures assigned to each topic is only indicative
and is not to be taken literally.
Each lecture will be of duration 90 minutes.
A necessary condition for crediting the course is submission of all
assignments. Evaluation will be based on a presentation and an
exam at the end of the course.
Course name: Introduction to Statistical Mechanics
Instructor: Krishnendu Sengupta, Theoretical Physics, IACS.
Course duration: Approximately 25 lectures (Sept.-Dec. 2009)
Brief description: The course will start from statistical mechanics
o®ered
in M.Sc.
courses of standard universities and aim to introduce the students to
some modern concepts
of statistical mechanics such as phase transition, scaling and
renormalization group. The
evaluation of the course will be based on home-assignments to be
submitted by the students
and a ¯nal presentation at the end of the lectures.
Tentative list of Topics to be covered
1. Basic concepts: ensembles, distribution etc. Relation to
thermodynamics.
2. Non-interacting gases: Maxwell-Boltzman, Bose-Einstein and
Fermi-Dirac distributions.
3. Theory of phase transitions: Landau theory, Mermin-Wagner theorem,
KosterlitzThouless transition.
4. Scaling and renormalization group analysis.
5. Quantum phase transitions.
ROUTINE :
----------------------------------------------------------| 10:30 - 12:00 | 12:00 - 13:30 | 14:30 - 16:00
----|----------------|---------------|--------------------Mon |
Quantum Mech.|
| Math. Methods
----|----------------|---------------|--------------------Tue |
| Stat. Physics |
----|----------------|---------------|--------------------Wed |
Quantum Mech.|
|
----|----------------|---------------|--------------------Thu |
| Stat. Physics |
----|----------------|---------------|--------------------Fri |
Quantum Mech.|
| Math. Methods
-----------------------------------------------------------