Fermi-Dirac statistics: Derivation and Consequences

Abstract

After a brief exposition of the history of the Fermi-Dirac statistics, we show how this statistics emerges as a possible statistics for a quantum description of an assembly of identical and indistinguishable particles. We then present the necessary tools for computing thermodynamic properties of specific fermionic systems and highlight the role it has played in our understanding of physical phenomena ranging from transport properties of methals to those pertaining to stability of stars. © 2014 Indian Academy of Sciences.