Abstract
The properties of an ideal Fermi gas in an external potential in any dimensional space are studied, based on the semiclassical (Thomas-Fermi) approximation. The general analytical expressions of the total particle number density of states Fermi energy total energy and heat capacity have been derived, where and are expressed by the Fermi integration. Moreover, the analytical expressions of the total energy chemical potential μ, and heat capacity in the high- and low-temperature approximations are given. From these results, how the characteristics of the Fermi gas depend on an external potential and the dimension of space is discussed.
- Received 10 March 1998
DOI:https://doi.org/10.1103/PhysRevA.58.1445
©1998 American Physical Society