Course11510608546 lectures
Special/Select Topics in the Theory of Atomic Collisions and Spectroscopy
Prof. P. C. Deshmukh · IIT Madras
Lectures
Module 0: Introductory Lecture
Module 1: Quantum Collisions
- 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.
Module 2: Second Quantization
- Many body theory, electron correlations
- Second Quantization Creation, Destruction and Number operators
- Many-particle Hamiltonian & Schrodinger Equation in 2nd Quantization
Module 3: 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
- Bohm-Pines approach to Random Phase Approximation.
- Bohm-Pines approach to Random Phase Approximation..
Module 4: 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 Diagrams
- Linear response of electron correlations
Module 5: More on Quantum Collisions
- Lippman Schwinger equation of potential scattering
- Born Approximation
- Coulomb scattering
- Scattering of partial waves
Module 6: Resonances in Quantum Scattering
Module 7: 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
Module 8: Guest Lectures by Professor S.T.Manson
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Physics
- Teacher
- Prof. P. C. Deshmukh
- Level
- Undergraduate
- Language
- English
- Subjects
- Physics
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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