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    Quick Facts

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

    Courses and Certificate Fees

    Certificate AvailabilityCertificate Providing Authority
    yesIIT Madras (IITM)

    The Syllabus

    • Introductory lecture about this course
    • Quantum Mechanics and Symmetry of the Hydrogen Atom
    • Hydrogen atom: Rotational and Dynamical Symmetry of the 1/r Potential
    • Hydrogen atom: Dynamical Symmetry of the 1/r Potential
    • Degeneracy of the Hydrogen Atom: SO(4)
    • Wavefunctions of the Hydrogen Atom
    • Angular Momentum in Quantum Mechanics
    • Angular Momentum in Quantum Mechanics: half-odd-integer and integer quantum numbers: SU(2) & SO(3)
    • Angular Momentum in Quantum Mechanics: Addition Theorem for Spherical Harmonics - Coupling of Angular Momenta
    • Angular Momentum in Quantum Mechanics Dimensionality of the Direct-Product (Composite) Vector Space CGC recursion relations
    • Angular Momentum in Quantum Mechanics CGC matrix, Wigner D Rotation Matrix, Irreducible Tensor Operators
    • Angular Momentum in Quantum Mechanics - more on ITO, and the Wigner-Eckart Theorem
    • Angular Momentum in Quantum Mechanics Wigner-Eckart Theorem - 2
    • Relativistic Quantum Mechanics of the Hydrogen Atom - 1
    • Relativistic Quantum Mechanics of the Hydrogen Atom - 2
    • Relativistic Quantum Mechanics of the Hydrogen Atom - PAULI Equation - Foldy - Wouthysen Transformations - 1
    • Relativistic Quantum Mechanics of the Hydrogen Atom - Foldy - Wouthysen Transformations - 2
    • Relativistic Quantum Mechanics of the Hydrogen Atom - Foldy - Wouthysen Transformations - 3
    • Relativistic Quantum Mechanics of the Hydrogen Atom - Spherical Symmetry of the Coulomb Potential
    • Hartree-Fock Self-Consistent Field formalism - 1
    • Hartree-Fock Self-Consistent Field formalism - 2
    • Hartree-Fock Self-Consistent Field formalism - 3
    • Hartree-Fock Self-Consistent Field formalism - 4
    • Hartree-Fock Self-Consistent Field formalism - 5
    • Perturbative treatment of relativistic effects… Schrodinger's and Dirac QM
    • Perturbative treatment of relativistic effects… Schrodinger's and Dirac QM
    • Probing the atom - Collisions and Spectroscopy - boundary conditions - 1
    • Atomic Probes - Collisions and Spectroscopy - boundary conditions - 2
    • Atomic Probes - Collisions and Spectroscopy - Scattering phase shifts and boundary conditions
    • Atomic Probes - Time reversal symmetry - applications in atomic collisions and photoionization processes
    • Atomic Photoionization cross sections, angular distributions of photoelectrons - 1
    • Atomic Photoionization cross sections, angular distributions of photoelectrons - 2
    • Atomic Photoionization cross sections, angular distributions of photoelectrons - 3
    • Atomic Photoionization cross sections, angular distributions of photoelectrons - 4
    • Atomic Photoionization cross sections, angular distributions of photoelectrons Cooper Zare Formula
    • Stark- Zeeman Spectroscopy - Stark effect
    • Stark- Zeeman Spectroscopy - Stark effect on n=2 excited state of the H atom Zeeman effect
    • Stark- Zeeman Spectroscopy - Normal, Anomalous Zeeman effect; Paschen- Back effect
    • Stark- Zeeman Spectroscopy - Anomalous Zeeman effect
    • Zeeman effect Fine structure, Hyperfine structure - Elemental, rudimentary introduction to Laser Cooling, BEC, Atomic Clock / Attosecond metrology

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