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    Quick Facts

    Medium Of InstructionsMode Of LearningMode Of Delivery
    EnglishSelf StudyVideo and Text Based

    Courses and Certificate Fees

    Fees InformationsCertificate AvailabilityCertificate Providing Authority
    INR 1000yesIIT 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.

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