Average ground-state energy of finite Fermi systems

Details Average ground-state energy of finite Fermi systems Average ground-state energy of finite Fermi systems

2006-07-27

arxiv.org/abs/cond-mat/0607735v1

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.

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