Fermi-Dirac and Bose-Einstein gas in a gravitational field

Abstract

The distribution with height of pressure and concentration for a Fermi-Dirac and a Bose-Einstein gas subject to a uniform gravitational field is considered. The non-relativistic non-degenerate and degenerate, and the relativistic non-degenerate and degenerate cases are discussed. Because of its connection with radiation, the relativistic case of Bose-Einstein statistics is particularly interesting.