NOC:Introductory Quantum Mechanics

Lecture 1 - Black Body Radiation I - Relevant Definitions and Black Body as cavity

Lecture 2 - Black Body Radiation II - Intensity of radiation in terms of energy density

Lecture 3 - Black Body Radiation III - Spectral energy density and radiation pressure inside a black body radiation

Lecture 4 - Black Body Radiation IV - Stephen's Boltzman law

Lecture 5 - Black Body Radiation V - Wein's Displacement law and analysis for spectral density

Lecture 6 - Black Body Radiation VI - Wein's distribution law and rayleigh - Jeans distribution law

Lecture 7 - Black Body Radiation VII - Quantum Hypothesis and plank's distribution Formula

Lecture 8 - Radiation as a collection of particles called photons

Lecture 9 - Quantum Hypothesis and specific heat of soilds

Lecture 10 - Bohr's Model of hydrogen spectrum

Lecture 11 - Wilson Sommerfeld quantum condition I - Harmonic oscillator and particle in a box

Lecture 12 - Wilson Sommerfeld quantum condition II - Particle moving in a coulomb potential in a plane and related quantum numbers

Lecture 13 - Wilson Sommerfeld quantum condition III - Particle moving in a coulomb potential in 3D and related quantum numbers

Lecture 14 - Quantum conditions and atomic structure, electron spin and Pauli exclusion principle

Lecture 15 - Interaction of atoms with radiation : Eienstien's A and B coefficients

Lecture 16 - Stimulated emmision and amplification of light in a LASER

Lecture 17 - Brief description of a LASER

Lecture 18 - Introduction to the correspondence principle

Lecture 19 - General nature of the correspondence principle

Lecture 20 - Selection rules (for transitions) through the correspondence principle

Lecture 21 - Applications of the correspondence principle : Einstiens A coefficient for the harmonic oscillator and the selection rules for atomic transitions

Lecture 22 - Heisenberg's formulations of quantum mechanics : expressing kinetic variables as matrices

Lecture 23 - Heisenberg's formulation of quantum mechanics : the quantum condition

Lecture 24 - Heisenberg's formulation of the quantum mechanics : Application to harmonic oscillator

Lecture 25 - Brief introduction to matrix mechanics and the quantum condition in matrix form

Lecture 26 - Introduction to waves and wave equation

Lecture 27 - Sationary waves eigen values and eigen functions

Lecture 28 - Matter waves and their experimental detection

Lecture 29 - Represenating a moving paticle by a wave packet

Lecture 30 - Stationary-state Schrodinger equation and its solution for a particle in a box

Lecture 31 - Solution of the stationary-state Schrodinger equation for a simple harmonic oscillator

Lecture 32 - Equivalance of Heisenberg and the Schrodinger formulations : Mathematical preliminaries

Lecture 33 - Equivalance of Heisenberg and Schrodinger formulations : The x and p operators and the quantum condition

Lecture 34 - Born interpretation of the wavefunction and expectation values of x and p operators

Lecture 35 - Uncertainty principle and its simple applications

Lecture 36 - Time dependent Schrodinger equation the probability current density and the continuity equation for the probability density

Lecture 37 - Ehrenfest theorem for the expectation values of x and p operators

Lecture 38 - Solution of Schrodinger equation for a particle in one and two delta function potentials

Lecture 39 - Solution of Schrodinger equation for a particle in a finite well

Lecture 40 - Numerical solution of a one dimensional Schrodinger equation for bound states - I

Lecture 41 - Numerical solution of a one dimensional Schrodinger equation for bound states - II

Lecture 42 - Reflection and transmission of particles across a potential barrier

Lecture 43 - Quantum-tunneling and its examples

Lecture 44 - Solution of the Schrodinger for free paticles and periodic boundary conditions

Lecture 45 - Electrons in a metal : Density of states and Fermi energy

Lecture 46 - Schrodinger equation for particles in spherically symmetric potential, angular momentum operator

Lecture 47 - Angular momentum operator and its eigenfunctions

Lecture 48 - Equation for radial component of the wavefunction in spherically symmteric potentials and general properties of its solution

Lecture 49 - Solution for radial component of the wavefunction for the hydrogen atom

Lecture 50 - Numerical solution for the radial component of wavefunction for spherically symmetric potentials

Lecture 51 - Solution of the Schrodinger equation for one dimensional periodic potential : Bloch's theorem

Lecture 52 - Kroning-Penny model and energy bands

Lecture 53 - Kroning-Penny model with periodic Dirac delta function and energy bands

Lecture 54 - Discussion on bands

Lecture 55 - Summary of the course