# Special/Select Topics in the Theory of Atomic Collisions and Spectroscopy

IIT Madras, , Prof. P.C. Deshmukh

IIT Madras, , Prof. P.C. Deshmukh

Introduction to the STiTACS course - Quantum Collisions - Quantum Theory of collisions - Quantum Theory of collisions: optical Theorem - Quantum Theory of collisions: Differential scattering cross section - Quantum Theory of collisions: Differential scattering cross section, Partial wave analysis - Quantum Theory of collisions: Optical - Theorem Unitarity of the Scattering - Operator - Quantum Theory of collisions:Reciprocity Theorem, Phase shift analysis - Quantum Theory of collisions: More on - Phase shift analysis - Quantum Theory of collisions: resonant condition in the lth partial wave - Quantum Theory of collisions: Levinson's theorem - Second Quantization:Many body theory, electron correlations - Second Quantization Creation, Destruction and Number operators - Many-particle Hamiltonian & Schrodinger Equation in 2nd Quantization formalism - Electron Gas in the Hartree-Fock and the Random Phase Approximation - Many-electron problem in quantum mechanics - Hartree-Fock Self-Consistent-Field - Exchange, Statistical, Fermi-Dirac correlations - Limitations of the Hartree-Fock Self-Consistent-Field formalism - Many-Body formalism, II Quantization - Density fluctuations in an electron gas - Bohm-Pines approach to Random Phase Approximation -

Feynman Diagrammatic Methods: Schrodinger, Heisenberg and Dirac "pictures" of QM - Dyson's chronological operator - Gell-Mann-Low Theorem - Reyleigh-Schrodinger perturbation methods and adiabatic switching - Feynman Diagrams - I Order Feynman Diagrams - II and higher order Feynman DiagramsLinear response of electron correlations - More on Quantum Collisions:Lippman Schwinger equation of potential scattering - Born Approximation - Coulomb scattering - Resonances in Quantum Scattering:Scattering of partial waves - Scattering at high energy - Resonances in Quantum Collisions - Breit-Wigner Resonances - Fano Analysis of Resonances:Fano parameterization of Breit-Wigner formula - Discrete state embedded in the continuum - Resonance life times -Wigner-Eisenbud formalism of time-delay in scattering - Photoionization and Photoelectron Angular Distributions - Ionization and Excitation of Atoms by Fast Charged Particles - Photo-absorption by Free and Confined Atoms and Ions: Recent Developments

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4.1 ( 11 )

SpecialSelect Topics in the Theory of Atomic Collisions and Spectroscopy by Prof. P.C. Deshmukh,Department of Physics,IIT Madras.For more details on NPTEL visit httpnptel.ac.in

Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Dembe

March 29, 2019

Great course. Thank you very much.