EFFECT OF A PERIODIC POTENTIAL ON A DEGENERATE FERMI GAS
Abstract
The effect of a periodic potential on the particle and energy density of a degenerate Fermi gas is considered. It is found that for a weak and long wavelength potential the inhomogeneity correction (deviation from the Thomas Fermi statistical model) to the kinetic energy density is only 1/9 as large as the Weizsacker estimate. The potential energy density due to Majorana exchange two-body interactions of short range is also given to a high accuracy by the statistical model; the corrections are only 1/9 as large as for a short range Wigner (ordinary) interaction. For the analogous two dimensional Fermi gas, the inhomogeneity corrections vanish at least to high order unless the periodic potential contains short wavelength components. Relevance to the problem of the nuclear surface is discussed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 18, 1962
- Accession Number
- AD0273697
Entities
People
- L. Wilets
- S. Moszkowski
Organizations
- Weizmann Institute of Science