Learn · Special/Select Topics in the Theory of Atomic Collisions and Spectroscopy
Lecture 23 of 46Module 3: Electron Gas in the Hartree-Fock and the Random Phase Approximation
Bohm-Pines approach to Random Phase Approximation.
Prof. P. C. Deshmukh · IIT Madras
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All the lectures
- Introduction to the STiTACS course
- Quantum Theory of collisions
- Quantum Theory of collisions: optical Theorem
- 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 l th partial wave.
- Quantum Theory of collisions: Levinson’s theorem
- Quantum Theory of collisions: Levinson’s theorem.
- Many body theory, electron correlations
- Second Quantization Creation, Destruction and Number operators
- Many-particle Hamiltonian & Schrodinger Equation in 2nd Quantization
- 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
- Bohm-Pines approach to Random Phase Approximation.
- Bohm-Pines approach to Random Phase Approximation..
- 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 Diagrams
- Linear response of electron correlations
- Lippman Schwinger equation of potential scattering
- Born Approximation
- Coulomb scattering
- Scattering of partial waves
- Scattering at high energy
- Resonances in Quantum Collisions
- Breit-Wigner 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