Module No: 
Lecture
No: 
Topic 
Module 0
Introductory Lecture 
01 
Introduction to the STiTACS
course 
Module 1:
Quantum Collisions 
02 
Quantum Theory of collisions 
03 
Quantum Theory of collisions: optical
Theorem 
04 
Quantum Theory of collisions: optical
Theorem 
05 
Quantum Theory of collisions: Differential scattering cross section 
06 
Quantum Theory of collisions: Differential scattering cross section, Partial wave analysis 
07 
Quantum Theory of collisions: Optical
Theorem – Unitarity of the Scattering
Operator 
08 
Quantum Theory of collisions:
Reciprocity Theorem, Phase shift analysis 
09 
Quantum Theory of collisions: More on
Phase shift analysis 
10 
Quantum Theory of collisions:
resonant condition in the l^{th}
partial wave. 
11 
Quantum Theory of collisions:
Levinson's theorem 
12 
Quantum Theory of collisions:
Levinson's theorem 
Module 2: Second Quantization

13 
Many body theory, electron correlations 
14 
Second Quantization Creation, Destruction and Number operators 
15 
Manyparticle Hamiltonian & Schrodinger Equation in 2^{nd} Quantization formalism 
Module 3: Electron Gas in the HartreeFock and the Random Phase Approximation 
16 
Manyelectron problem in quantum mechanics 
17 
HartreeFock SelfConsistentField 
18 
Exchange, Statistical, FermiDirac correlations 
19 
Limitations of the HartreeFock SelfConsistentField formalism 
20 
ManyBody formalism, II Quantization 
21 
Density fluctuations in an electron gas 
22 
BohmPines approach to Random Phase Approximation 
23 
BohmPines approach to Random Phase Approximation 
24 
BohmPines approach to Random Phase Approximation 
Module 4:
Feynman Diagrammatic Methods

25 
Schrodinger, Heisenberg and Dirac "pictures" of QM 
26 
Dyson's chronological operator 
27 
GellMannLow Theorem 
28 
ReyleighSchrodinger perturbation methods and adiabatic switching 
29 
Feynman Diagrams 
30 
I Order Feynman Diagrams 
31 
II and higher order Feynman Diagrams. 
32 
Linear response of electron correlations 
Module 5: More on Quantum Collisions

33 
Lippman Schwinger equation of potential scattering 
34 
Born Approximation 
35 
Coulomb scattering 
Module 6:Resonances in Quantum Scattering

36 
Scattering of partial waves 
37 
Scattering at high energy 
38 
Resonances in Quantum Collisions 
39 
BreitWigner Resonances 
Module 7: Fano Analysis of Resonances

40 
Fano parameterization of BreitWigner formula 
41 
Discrete state embedded in the continuum 
42 
Resonance life times 
43 
WignerEisenbud formalism of timedelay in scattering 
Module 8:Guest Lectures by Professor S.T.Manson

44 
Photoionization and Photoelectron Angular Distributions 
45 
Ionization and Excitation of Atoms by Fast Charged Particles 
46 
Photoabsorption by Free and Confined Atoms and Ions: Recent Developments 