Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-07-27
Phys.Rev.C74:034332,2006
Physics
Condensed Matter
Other Condensed Matter
10 pages, 8 figures
Scientific paper
10.1103/PhysRevC.74.034332
Semiclassical theories like the Thomas-Fermi and Wigner-Kirkwood methods give a good description of the smooth average part of the total energy of a Fermi gas in some external potential when the chemical potential is varied. However, in systems with a fixed number of particles N, these methods overbind the actual average of the quantum energy as N is varied. We describe a theory that accounts for this effect. Numerical illustrations are discussed for fermions trapped in a harmonic oscillator potential and in a hard wall cavity, and for self-consistent calculations of atomic nuclei. In the latter case, the influence of deformations on the average behavior of the energy is also considered.
Centelles Mario
Leboeuf Patricio
Monastra Alejandro G.
Roccia Jerôme
Schuck Peter
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