Dr. Aniruddha Chakraborty

School of Basic Sciences

Indian Institute of Technology Mandi

Mandi, Himachal Pradesh 175001

India

ph: +(91)1905-237930

achakrab

** 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.

This website is designed & maintained by Ms. Moumita Ganguly (mouganguly09@gmail.com).

Dr. Aniruddha Chakraborty

School of Basic Sciences

Indian Institute of Technology Mandi

Mandi, Himachal Pradesh 175001

India

ph: +(91)1905-237930

achakrab