Quantum Chemistry

This course covers the following topics and the treatment is exhaustive. Introduction - An overview of quantum mechanical approach to atomic and molecular phenomena, Importance of amplitude function in quantum mechanics, Mathematical foundation for quantum chemistry, de Broglie hypothesis-Problems and Exercises, Heisenberg's uncertainty principle- Problems, Schrodinger wave equation, Physical significance of the ψ function -Born interpretation, Acceptable/Well-behaved wave functions, Operator concept (3 videos) -Operator algebra, Position, linear momentum, angular momentum and energy operators, Eigenfunctions and Eigenvalues, Normalized,Orthogonal and Orthonormal eigenfunctions. Differences in the approaches of Classical Mechanics, Old Quantum Theory and New Wave Mechanics, Quantum mechanical postulates (7 videos), Two important theorems relating to the postulates, Commutation relations in quantum mechanics , Particle in a 1-D box (3 videos), Particle in a 3-D box, Free Particle, Rigid rotator (4 videos) , Particle in a ring, Simple harmonic oscillator (5 videos), Hydrogen - like atoms ( 7 videos) , Need for approximate methods, Variation method and variation theorem, Variation method and H - atom, Electron spin, Many-electron atom - Hamiltonian, Many-electron atom - wave functions, Slater determinants, Symmetric and Antisymmetric wave functions, He atom and Pauli exclusion principle, Excited state He atom and Pauli exclusion principle, Variation method - He atom ,Perturbation method, Perturbation method and Helium atom, Chemical bonding - MO theory -LCAO approximation, Born-Oppenheimer approximation, MO theory-Hydrogen molecule ion, Huckel MO theory, Simple Huckel MO calculations - Ethylene, Simple Huckel MO calculations - Allylic systems.