### Lecture 1: Quantum Theory of collisions: Optical Theorem

##### Lecture Details :

Special/Select 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 http://nptel.ac.in

##### Course Description :

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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