Average ground-state energy of finite Fermi systems

Abstract

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.

10 pages, 8 figures

References in corpus (4)

• Nuclear masses: evidence of order-chaos coexistence
• A Particle number conserving shell-correction method
• Correlations in Nuclear Masses
• Thermodynamics of small Fermi systems: quantum statistical fluctuations

Cited by in corpus (9)

• Microscopic-Macroscopic Approach for Binding Energies with Wigner-Kirkwood Method
• Microscopic-Macroscopic Approach for Binding Energies with the Wigner-Kirkwood Method - II
• Shell structure and orbit bifurcations in finite fermion systems
• Closed-Orbit Theory of Spatial Density Oscillations in Finite Fermion Systems
• Semiclassical theory for spatial density oscillations in fermionic systems
• A geometrical approach to the mean density of states in many-body quantum systems
• Curvature Correction in the Strutinsky's Method
• On the ground--state energy of finite Fermi systems
• Microscopic-Macroscopic Approach for Ground-State Energies Based on the Gogny Force with the Wigner-Kirkwood Averaging Scheme