Centelles Aixalà, MarioLeboeuf, P.Monastra, A. G.Roccia, J.Schuck, PeterViñas Gausí, Xavier2010-01-292010-01-2920060556-2813https://hdl.handle.net/2445/11021Semiclassical theories such as 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.9 p.application/pdfeng(c) The American Physical Society, 2006Estructura nuclearFísica nuclearMecànica estadísticaNuclear structureNuclear physicsStatistical mechanicsinfo:eu-repo/semantics/article542422info:eu-repo/semantics/openAccess