Thomas-Fermi model/ Thomas-Fermi limitstatic propertiesvariational approachtrapped self-interacting Bose gasBose-Einstein condensationanomalous density profilecondensate fraction/ A0530J Boson systems (quantum statistical mechanics) A0375F Bose-Einstein condensation...
摘要: We derive the Scott correction to the atomic electron density in momentum space. The implied corrections to expectation values of powers of the momentum, as well as to the Compton profile, are then obtained.关键词: Other topics in the theory of the electronic structure of atoms and ...
A recently introduced analytical model for the nuclear density profile [1] is implemented in the Extended ThomasFermi(ETF) energy density functional. This allows to (i) shed a new light on the issue of the sign of surface symmetry energyin nuclear mass formulas, as well as to (ii) show ...
In these cases, the probability density function exhibits the same profile, irrespective of the material under scrutiny. Furthermore, we show that this approximation can lead to serious errors in the computation of observables when applied to GaAs at zero temperatur...
An improved description of the nuclear surface profile is obtained, including the quantal halo in the classically forbidden region. But since density derivatives are not involved, there is no need to solve a partial differential equation in order to find the density....
By means of a perturbation argument, we obtain precise estimates for the convergence of the minimizer to this limiting profile, asε\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{...
The solution of the first system is solved through the Vlasenk-Pronin space-time metrics while the second system associated with the deformation function is solved by the density constraints method by mimicking a new source with Thomas-Fermi dark matter density profile that generates the anisotropy ...
In addition, they agree extremely well with the observational curves described by the Burkert profile for r ≲ 2 rh. These results show that the Thomas–Fermi approach correctly describes the galaxy structures.de VegaSorbonne UniversitésH. J....
The effective electrical field profile and kinetic energy profile for moved ions formed during the short time of shock wave propagation have been obtained. The developed theoretical model allows to suggest a physical mechanism for the explanation of formation of displaced atoms from nodal points during...
Thomas-FermiMethodElectronSpectrumElectron spectrum in doped n-Si quantum wires is calculated by the Thomas-Fermi (TF) method under finite temperatures. The many-body exchange corrections are taken into account. The doping profile is arbitrary. At the first stage, the electron potential energy is ...