Description

Statistical mechanics deals with collections of large numbers of constituent particles. We cannot possibly follow the details of the motions of these individual particles. Hence, we assume that the particles move randomly and we use the laws of probability to predict the bulk properties of such systems.

The aim of this project is to understand the difference between classical and quantum statistical systems in equilibrium. This project will introduce the concepts of quantum statistics and the indistinguishable nature of the constituent particles. The energy distribution will be computed for systems obeying Bose-Einstein and Fermi-Dirac statistics and the thermodynamic observables will be computed. The Fermi-Dirac and Bose-Einstein distribution can be compared to the classical Maxwell-Boltzman distribution. Towards the end the aim is to study the Bose-Einstein condensation, Blackbody radiation and Plank's distribution.

Prerequisites

References