Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Courses and Certificate Fees

Certificate Availability	Certificate Providing Authority
yes	IIT Kanpur

Black Body Radiation I - Relevant Definitions and Black Body as cavity
Black Body Radiation II- Intensity of radiation in terms of energy density
Black Body Radiation III - Spectral energy density and radiation pressure inside a black body radiation
Black Body Radiation IV- Stephen's Boltzman law
Black Body Radiation V - Wein's Displacement law and analysis for spectral density
Black Body Radiation VI - Wein's distribution law and rayleigh - Jeans distribution law
Black Body Radiation VII - Quantum Hypothesis and plank's distribution Formula
Radiation as a collection of particles called photons
Quantum Hypothesis and specific heat of soilds
Bohr's Model of hydrogen spectrum

Wilson Sommerfeld quantum condition I - Harmonic oscillator and particle in a box
Wilson Sommerfeld quantum condition II - Particle moving in a coulomb potential in a plane and related quantum numbers
Wilson Sommerfeld quantum condition III - Particle moving in a coulomb potential in 3D and related quantum numbers
Quantum conditions and atomic structure, electron spin and Pauli exclusion principle
Interaction of atoms with radiation : Eienstien's A and B coefficients
Stimulated emmision and amplification of light in a LASER
Brief description of a LASER

Introduction to the correspondence principle
General nature of the correspondence principle
Selection rules (for transitions) through the correspondence principle
Applications of the correspondence principle : Einstiens A coefficient for the harmonic oscillator and the selection rules for atomic transitions
Heisenberg's formulations of quantum mechanics : expressing kinetic variables as matrices
Heisenberg's formulation of quantum mechanics : the quantum condition
Heisenberg's formulation of the quantum mechanics : Application to harmonic oscillator
Brief introduction to matrix mechanics and the quantum condition in matrix form

Introduction to waves and wave equation
Sationary waves eigen values and eigen functions
Matter waves and their experimental detection
Represenating a moving paticle by a wave packet
Stationary-state Schrodinger equation and its solution for a particle in a box
Solution of the stationary-state Schrodinger equation for a simple harmonic oscillator

Equivalance of Heisenberg and the Schrodinger formulations : Mathematical preliminaries
Equivalance of Heisenberg and Schrodinger formulations : The x and p operators and the quantum condition
Born interpretation of the wavefunction and expectation values of x and p operators
Uncertainty principle and its simple applications
Time dependent Schrodinger equation the probability current density and the continuity equation for the probability density
Ehrenfest theorem for the expectation values of x and p operators

Solution of Schrodinger equation for a particle in one and two delta function potentials
Solution of Schrodinger equation for a particle in a finite well
Numerical solution of a one dimensional Schrodinger equation for bound states - I
Numerical solution of a one dimensional Schrodinger equation for bound states - II
Reflection and transmission of particles across a potential barrier
Quantum-tunneling and its examples

Solution of the Schrodinger for free paticles and periodic boundary conditions
Electrons in a metal : Density of states and Fermi energy
Schrodinger equation for particles in spherically symmetric potential, angular momentum operator
Angular momentum operator and its eigenfunctions
Equation for radial component of the wavefunction in spherically symmteric potentials and general properties of its solution
Solution for radial component of the wavefunction for the hydrogen atom

Numerical solution for the radial component of wavefunction for spherically symmetric potentials
Solution of the Schrodinger equation for one dimensional periodic potential : Bloch's theorem
Kroning-Penny model and energy bands
Kroning-Penny model with periodic Dirac delta function and energy bands
Discussion on bands
Summary of the course