We show that, within mean-field theory, the density profile of a rapidly rotating harmonically trapped Bose-Einstein condensate is of the Thomas-Fermi form... Gentaro,Watanabe,Gordon,... - 《Physical Review Letters》 被引量: 137发表: 2004年 An $n$n-dimensional interpretation of the $delta$...
Surprisingly, we find that the usual Gaussian profile assumption for the strongly confining direction is inappropriate for the cigar-shaped BEC case, and a Thomas–Fermi-type profile should be adopted instead. Based on the derived mean-field equations, the Thomas–Fermi densities are analyzed in ...
The limit profile is given by the Thomas-Fermi minimizer u T F ( x ) = [ μ T F C 0 | x | p ] 1 4 + u^{TF}(x)=\left[\mu^{TF}-C_0|x|^pight]^{\frac{1}{4}}_{+} , where μ T F \mu^{TF} is a suitable Lagrange multiplier with exact value. Moreover, we ...
A recently introduced analytical model for the nuclear density profile[1] is implemented in the Extended Thomas-Fermi (ETF) energy density functional. This allows to (i) shed a new light on the issue of the sign of surface symmetry energy in nuclear mass formulas, which is strongly related ...
机译:紧凑恒星中的次饱和物质:在扩展的Thomas-Fermi理论框架内的核模型 摘要 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 surf...
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...
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{...
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....
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....
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 ...