Course Content
Module 1: Wave packet; phase and group velocities; wave-particle duality; de-Broglie waves; wave function and its statistical interpretation; Schrodinger equation; operators; wave function; superposition principle; expectation value; continuity equation for probability density; stationary and bound states.
Module 2: Free particle solution; one-dimensional infinite and finite potential well; quantum mechanical tunneling and alpha decay, Kronig-Penney model and emergence of bands.
Module 3: Random variables; joint and conditional probability densities; functions of a random variable
Module 4: Introduction to statistical mechanics and its fundamental postulate; rules of calculating thermodynamic parameters using the microscopic information of a system (canonical, grand canonical and micro canonical ensembles).
Module 5: Entropy and information.
Module 6: Brownian motion; random walk; diffusion; noise; fluctuation-dissipation theorem.