Dr. Aniruddha Chakraborty

Lecture:                                                                                      <<back

Lecture 1: What is Theoretical Chemistry?

Lecture 2:Thermodynamics, Quantum, Classical & Statistical Mechanics.

Lecture 3: Principle of Least action.& Feynman's Path Integral Formulation.

Lecture 4: Generalized or Good Coordinates.

Lecture 5: Energy, Hamiltonian, and Momentum.

Lecture 6: The state of a system.

Lecture 7: Properties of one dimensional potential functions.

Lecture 8: The de Broglie Hypothesis. Work of Planck, Einstein & Bohr.

Lecture 9: Wave properties, Uncertainty principle, work of Born.

Lecture 10: Postulates of Quantum Mechanics.

Lecture 11: Hilbert space: delta function orthogonality.

Lecture 12: Superposition principle, commutator relations & uncertainty.

Lecture 13: Time development of the state function.

Lecture 14: Time development of expectation values.

Lecture 15: Conservation of energy, momemtum.

Lecture 16: Conservation of parity.

Lecture 17: Initial value problem in qunatum Mechanics.

Lecture 18: General solutions of time independent Schrodinger equation.

Lecture 19: Bound states & unbound states

Lecture 20: One particle in one dimentional box.

Lecture 21: Two particle in one dimesional box & two beads on a wire

Lecture 22: N particles in one dimensional box.

Lecture 23: Particles in n-dimensional box.

Lecture 24: Step potential & rectangular barrier.

Lecture 25: Dirac delta potential and arbitrary potentials.

Lecture 26: Suddent Perturbations : examples

Lecture 27: Adiabatic perturbations: examples

Lecture 28: Harmonic Oscillator in position space.

Lecture 29: Harmonic Oscillator in momentum space.

Lecture 30: Morse Oscillator.

Lecture 31: Diract delta potential well : At least one bound state.

Lecture 32: Finite Potential wells.

Lecture 33: Principles for periodic lattice and Band Gap.

Lecture 34: Standing waves at the band. Conduction in solid.

Lecture 35: Variational method.

Lecture 36: Linear Combinations of Atomic Orbitals.

Lecture 37: Time independent Perturbation Theory.

Lecture 38: Coupled Oscillators : Good quantum number ?

Lecture 39: Coupled Oscillators : classical dynamics.

Lecture 40: Vibrational Dynamics: normal modes vs. local modes

Lecture 41: Rigin rotor: ro-vibrational spectra.

Lecture 42: Molecular Spectroscopy & Dynamics.