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Course11510608546 lectures

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

Prof. P. C. Deshmukh · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Module 0: Introductory Lecture

  1. Introduction to the STiTACS course Video

Module 1: Quantum Collisions

  1. Quantum Theory of collisions Video
  2. Quantum Theory of collisions: optical Theorem Video
  3. Quantum Theory of collisions: Optical Theorem. Video
  4. Quantum Theory of collisions: Differential scattering cross section Video
  5. Quantum Theory of collisions: Differential scattering cross section, Partial wave analysis Video
  6. Quantum Theory of collisions: Optical Theorem – Unitarity of the Scattering Operator Video
  7. Quantum Theory of collisions: Reciprocity Theorem, Phase shift analysis Video
  8. Quantum Theory of collisions: More on Phase shift analysis Video
  9. Quantum Theory of collisions: resonant condition in the l th partial wave. Video
  10. Quantum Theory of collisions: Levinson’s theorem Video
  11. Quantum Theory of collisions: Levinson’s theorem. Video

Module 2: Second Quantization

  1. Many body theory, electron correlations Video
  2. Second Quantization Creation, Destruction and Number operators Video
  3. Many-particle Hamiltonian & Schrodinger Equation in 2nd Quantization Video

Module 3: Electron Gas in the Hartree-Fock and the Random Phase Approximation

  1. Many-electron problem in quantum mechanics Video
  2. Hartree-Fock Self-Consistent-Field Video
  3. Exchange, Statistical, Fermi-Dirac correlations Video
  4. Limitations of the Hartree-Fock Self-Consistent-Field formalism Video
  5. Many-Body formalism, II Quantization Video
  6. Density fluctuations in an electron gas Video
  7. Bohm-Pines approach to Random Phase Approximation Video
  8. Bohm-Pines approach to Random Phase Approximation. Video
  9. Bohm-Pines approach to Random Phase Approximation.. Video

Module 4: Feynman Diagrammatic Methods

  1. Schrodinger, Heisenberg and Dirac “pictures” of QM Video
  2. Dyson’s chronological operator Video
  3. Gell-Mann-Low Theorem Video
  4. Reyleigh-Schrodinger perturbation methods and adiabatic switching Video
  5. Feynman Diagrams Video
  6. I Order Feynman Diagrams Video
  7. II and higher order Feynman Diagrams Video
  8. Linear response of electron correlations Video

Module 5: More on Quantum Collisions

  1. Lippman Schwinger equation of potential scattering Video
  2. Born Approximation Video
  3. Coulomb scattering Video
  4. Scattering of partial waves Video

Module 6: Resonances in Quantum Scattering

  1. Scattering at high energy Video
  2. Resonances in Quantum Collisions Video
  3. Breit-Wigner Resonances Video

Module 7: Fano Analysis of Resonances

  1. Fano parameterization of Breit-Wigner formula Video
  2. Discrete state embedded in the continuum Video
  3. Resonance life times Video
  4. Wigner-Eisenbud formalism of time-delay in scattering Video

Module 8: Guest Lectures by Professor S.T.Manson

  1. Photoionization and Photoelectron Angular Distributions Video
  2. Ionization and Excitation of Atoms by Fast Charged Particles Video
  3. Photo-absorption by Free and Confined Atoms and Ions: Recent Developments Video

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
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