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 Compare Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery | 
|---|
| English | Self Study | Video and Text Based | 
 Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority | 
|---|
| INR 1000 | yes | IIT Madras (IITM) | 
The Syllabus
- Quantum Mechanics and the Symmetry of the hydrogen atom. 
 - Complete set of observables for the non-relativistic
 - Hydrogen atom - radial and angular wavefunctions
 - Complete set of 'good quantum numbers', associated constants of motion and associated symmetries
 - The Laplace-Runge-Lenz vector and the Fock SO(4) symmetry of the Hydrogen atom.
 
- Coupling ofAngular Momenta, Clebsch-Gordan Coefficients,
 - Statement and Proof the Wigner-Eckart.
 
- Relativistic Hydrogen Atom. 
 - Foldy-Wouthuysen
 - Transformation of Dirac Hamiltonian
 
- Identical Particles
 - Exchange interaction and N-electron systems. 
 - The Hartree-Fock Self-Consistent Field Formalism.
 - Koopmans Theorem.
 
- Perturbative analysis of relativistic interactions in atoms.
 
- Probing the atom–quantum collisions and photoabsorption processes.
 
- Photoionization cross-section and angular distribution of the photoelectrons.
 
- Effects of applied electromagnetic fields.
 - Stark effect.
 - Zeeman effect (normal and anomalous) in atomic spectroscopy, Paschen-Back effect. 
 - Hyperfine structure.
 - Introduction to laser cooling of atoms and Bose-Einstein condensation.