Special, Select Topics in the Theory of Atomic Collisions and Spectroscopy

Lecture 1 - Introduction to the STiTACS course

Lecture 2 - Quantum Theory of collisions

Lecture 3 - Quantum Theory of collisions: optical Theorem

Lecture 4 - Quantum Theory of collisions: Optical Theorem (Continued...)

Lecture 5 - Quantum Theory of collisions: Differential scattering cross section

Lecture 6 - Quantum Theory of collisions: Differential scattering cross section, Partial wave analysis

Lecture 7 - Quantum Theory of collisions: Optical Theorem – Unitarity of the Scattering Operator

Lecture 8 - Quantum Theory of collisions: Reciprocity Theorem, Phase shift analysis

Lecture 9 - Quantum Theory of collisions: More on Phase shift analysis

Lecture 10 - Quantum Theory of collisions: resonant condition in the l th partial wave.

Lecture 11 - Quantum Theory of collisions: Levinson’s theorem

Lecture 12 - Quantum Theory of collisions: Levinson’s theorem (Continued...)

Lecture 13 - Many body theory, electron correlations

Lecture 14 - Second Quantization Creation, Destruction and Number operators

Lecture 15 - Many-particle Hamiltonian & Schrodinger Equation in 2nd Quantization

Lecture 16 - Many-electron problem in quantum mechanics

Lecture 17 - Hartree-Fock Self-Consistent-Field

Lecture 18 - Exchange, Statistical, Fermi-Dirac correlations

Lecture 19 - Limitations of the Hartree-Fock Self-Consistent-Field formalism

Lecture 20 - Many-Body formalism, II Quantization

Lecture 21 - Density fluctuations in an electron gas

Lecture 22 - Bohm-Pines approach to Random Phase Approximation

Lecture 23 - Bohm-Pines approach to Random Phase Approximation (Continued...)

Lecture 24 - Bohm-Pines approach to Random Phase Approximation (Continued...)

Lecture 25 - Schrodinger, Heisenberg and Dirac “pictures” of QM

Lecture 26 - Dyson’s chronological operator

Lecture 27 - Gell-Mann-Low Theorem

Lecture 28 - Reyleigh-Schrodinger perturbation methods and adiabatic switching

Lecture 29 - Feynman Diagrams

Lecture 30 - I Order Feynman Diagrams

Lecture 31 - II and higher order Feynman Diagrams

Lecture 32 - Linear response of electron correlations

Lecture 33 - Lippman Schwinger equation of potential scattering

Lecture 34 - Born Approximation

Lecture 35 - Coulomb scattering

Lecture 36 - Scattering of partial waves

Lecture 37 - Scattering at high energy

Lecture 38 - Resonances in Quantum Collisions

Lecture 39 - Breit-Wigner Resonances

Lecture 40 - Fano parameterization of Breit-Wigner formula

Lecture 41 - Discrete state embedded in the continuum

Lecture 42 - Resonance life times

Lecture 43 - Wigner-Eisenbud formalism of time-delay in scattering

Lecture 44 - Photoionization and Photoelectron Angular Distributions

Lecture 45 - Ionization and Excitation of Atoms by Fast Charged Particles

Lecture 46 - Photo-absorption by Free and Confined Atoms and Ions: Recent Developments