 Matrix formulation of quantum mechanics: Transformation, representations, projection
operators, equations of motion. Operator formalism: Virial theorem, model exactly solvable systems, Tunnelling effect: square barrier, WKB approximation, electron and proton transfer.
 Manybody problem: Manybody problem, Antsymmetry and Slater Determinants, Variation and Perturbation methods, Born Oppenheimer approximation, Explicit derivation of Hartree and HartreeFock equations, Roothaan equations and introduction of basis sets STO and GTO, calculation of integrals, semiempirical methods, Restricted versus unrestricted HartreeFock methods.
 Electron correlation problem: Electron correlation problem, Configuration interaction (CI) methods, singles and doubles CI, Sizeconsistency and sizeextensivity, N dependence, Manybody methods , perturbation theory (MPversions), diagrammatic representations and linked cluster theorem, coupledcluster method. Brief overview of density functional theory
