1

Special Topics in the Theory of Atomic Collisions and Spectroscopy. Instructor: Prof. P.C. Deshmukh, Department of Physics, IIT Madras.

FREE
This course includes
Hours of videos

1277 years, 7 months

Units & Quizzes

46

Unlimited Lifetime access
Access on mobile app
Certificate of Completion

This course builds on the previous NPTEL course 'Special/Select Topics in Atomic Physics' given by Dr. P.C. Deshmukh and aims at preparing senior students for graduate research in some key areas of theoretical atomic physics. The course is covered in 7 Modules. The focus of this course is set on providing the tools that are necessary to study, and engage in, some frontier research areas of theoretical atomic physics. Methods of quantum collision theory, partial waves phase shift analysis, ingoing and outgoing boundary conditions, time-reversal symmetry etc. are introduced. The student is then taken through the methods of second quantization and approximation methods in addressing many-electron correlations, with a special emphasis on the random phase approximation. Feynman diagrammatic methods are introduced. An introduction to the quantum defect theory is provided and some applications of these techniques are summarized. (from nptel.ac.in)

Course Currilcum

    • Lecture 01 – Introduction to the STiTACS Course Unlimited
    • Lecture 02 – Quantum Theory of Collisions Unlimited
    • Lecture 03 – Quantum Theory of Collisions: Optical Theorem Unlimited
    • Lecture 04 – Quantum Theory of Collisions: Optical Theorem Unlimited
    • Lecture 05 – Quantum Theory of Collisions: Differential Scattering Cross Section Unlimited
    • Lecture 06 – Quantum Theory of Collisions: Differential Scattering Cross Section, Partial Wave Analysis Unlimited
    • Lecture 07 – Quantum Theory of Collisions: Optical Theorem – Unitarity of the Scattering Operator Unlimited
    • Lecture 08 – Quantum Theory of Collisions: Reciprocity Theorem, Phase Shift Analysis Unlimited
    • Lecture 09 – Quantum Theory of Collisions: More on Phase Shift Analysis Unlimited
    • Lecture 10 – Quantum Theory of Collisions: Resonant Condition in the 1th Partial Wave Unlimited
    • Lecture 11 – Quantum Theory of Collisions: Levinson’s Theorem Unlimited
    • Lecture 12 – Quantum Theory of Collisions: Levinson’s Theorem Unlimited
    • Lecture 13 – Many Body Theory, Electron Correlations Unlimited
    • Lecture 14 – Second Quantization Creation, Destruction and Number Operators Unlimited
    • Lecture 15 – Many-particle Hamiltonian and Schrodinger Equation in 2nd Quantization Formalism Unlimited
    • Lecture 16 – Many-electron Problem in Quantum Mechanics Unlimited
    • Lecture 17 – Hartree-Fock Self-Consistent-Field Unlimited
    • Lecture 18 – Exchange, Statistical, Fermi-Dirac Correlations Unlimited
    • Lecture 19 – Limitations of the Hartree-Fock Self-Consistent-Field Formalism Unlimited
    • Lecture 20 – Many-Body Formalism, Second Quantization Unlimited
    • Lecture 21 – Density Fluctuations in an Electron Gas Unlimited
    • Lecture 22 – Bohm-Pines Approach to Random Phase Approximation Unlimited
    • Lecture 23 – Bohm-Pines Approach to Random Phase Approximation Unlimited
    • Lecture 24 – Bohm-Pines Approach to Random Phase Approximation Unlimited
    • Lecture 25 – Schrodinger, Heisenberg and Dirac Pictures of QM Unlimited
    • Lecture 26 – Dyson’s Chronological Operator Unlimited
    • Lecture 27 – Gell-Mann-Low Theorem Unlimited
    • Lecture 28 – Rayleigh-Schrodinger Perturbation Methods and Adiabatic Switching Unlimited
    • Lecture 29 – Feynman Diagrams Unlimited
    • Lecture 30 – First Order Feynman Diagrams Unlimited
    • Lecture 31 – Some More on First Order Feynman Diagrams Unlimited
    • Lecture 32 – Second and Higher Order Feynman Diagrams Unlimited
    • Lecture 33 – Lippman Schwinger Equation of Potential Scattering Unlimited
    • Lecture 34 – Born Approximation Unlimited
    • Lecture 35 – Coulomb Scattering Unlimited
    • Lecture 36 – Scattering of Partial Waves Unlimited
    • Lecture 37 – Scattering at High Energy Unlimited
    • Lecture 38 – Resonances in Quantum Collisions Unlimited
    • Lecture 39 – Breit-Wigner Resonances Unlimited
    • Lecture 40 – Fano Parameterization of Breit-Wigner Formula Unlimited
    • Lecture 41 – Discrete State Embedded in the Continuum Unlimited
    • Lecture 42 – Resonance Life Times Unlimited
    • Lecture 43 – Wigner-Eisenbud Formalism of Time-Delay in Scattering Unlimited
    • Lecture 44 – Photoionization and Photoelectron Angular Distributions Unlimited
    • Lecture 45 – Ionization and Excitation of Atoms by Fast Charged Particles Unlimited
    • Lecture 46 – Photo-absorption by Free and Confined Atoms and Ions: Recent Developments Unlimited