Fermion gases in magnetic fields: a semiclassical treatment

The study of quantum degenerate gases has received much interest in these last years essentially thanks to the extremely important experimental results of the achievement of Bose-Einstein condensation of atoms and, very recently, of almost complete degeneracy of atomic fermion gases. Here we want to present the results of a semi-analytical method for the study of an interacting degenerate fermion gas based on semiclassical kinetic theory; special care has been devoted to the study of a rotating electron gas, in a cylindrically symmetrical configuration, radially confined by a uniform magnetic field. The model will lead to a particular Thomas-Fermi equation which is generalized to take into account finite temperature and average velocity of the gas, and which is further developed to consider the effects of external fields. Received 10 March 2000     

Electron spectrum of δ-doped quantum wells by the Thomas-Fermi method at finite temperatures

The electron spectrum of δ-doped quantum wells in n-GaAs is investigated by means of the Thomas-Fermi (TF) method at finite temperatures. This method shows rapid convergence and good accuracy. Under two-dimensional (2D) doping concentrations 10¹³…2×10¹³ cm⁻², the simplest TF method (T=0 K) can be used to calculate the profiles of the potential well up to T≈200 K. The simplest TF method yields correct results for the electron concentrations and the differences of the electron energy sublevels in the quantum well up to room temperature (T∼300 K).     

Rational approximation to the Thomas-Fermi equations

We show that a simple and straightforward rational approximation to the Thomas-Fermi equation provides the slope at origin with unprecedented accuracy and that Padé approximants of relatively low order are far more accurate than more elaborate approaches proposed recently by other authors. We consider both the Thomas-Fermi equation for isolated atoms and for atoms in strong magnetic fields.     

修正的Thomas-Fermi模型及惰性气体原子抗磁磁化率的计算（Ⅰ）

 在本文中，我们在Thomas-Fermi（TF）及Thomas-Fermi-Amadi（TFA）模型下，选用Jensen的试验密度函数，在考虑到TF模型所确定的密度渐近行为情况下，计算了惰性气体原子Ne、Ar、Kr、Xe、Rn的抗磁磁化率。计算表明，考虑密度渐近行为式是必要的，并给出了较以往的同类计算更好的结果。     

A Thomas-Fermi type picture and the electromagnetic structure of the nucleon

Using a Thomas-Fermi type picture of the nucleon as a dense system of quarks and antiquarks, we give a rationale for the ‘dipole’ nature, scaling and other characteristics of the nucleon electromagnetic form factors. Similar considerations are then given for the electromagnetic structure of the pion.     

Lattice-dynamical functions of solids at very high pressures

Abstract

Vibrational spectra of face-centered cubical (f.c.c.) solids are investigated at the pressure region, where the quantum-statistical model for the electron energy is applicable. Phonon dispersion curves are obtained for different values of the specific volume. The integration of the phonon spectra over the Brillouin zone yields the zero-point vibrational energy, the Debye temperature, the Gruneisen coefficient, mean-square amplitude of zero-point and thermal vibration, the melting temperature. All quantities under consideration are calculated from the universal functions of the reduced volume, using the scaling relations for given atomic number 2.     

Opérateurs différentiels magnétiques : stabilité des trous dans le spectre,invariance du spectre essentiel et applications

We study here the problem of geometry optimization for a crystal in the Thomas–Fermi–Von Weizsäcker (TFW) solid-state setting, i.e., the problem of minimizing the TFW energy with respect to the periodic lattice defining the positions of the nuclei. We show the existence of such a minimum, and use for that purpose the TFW models of polymers and thin films defined in a previous work (X. Blanc and C. Le Bris, Adv. Differential Equations, 5, 977–1032, 2000).     

用杨立铭方法估算大于126的幻数

采用 Woods- Saxon形成的密度函数 ,按照杨立铭方法以及稍微修改的方法进行估算都得出 ,紧接126的幻数应该接近于184.Based on Fermi Yang Liming method and its improved method, magic numbers were calculated by using Woods Saxon density function. That the magic number next to 126 should be 184 was predicted.     

混合物质原子结构的自洽场计算

基于含温有界Hartree-Fock-Slater相对论自洽场平均原子模型,应用体积相加原理,计算混合物质的原子结构.给出了求解混合物的Thomas-Fermi方程以及自洽场原子结构的方法,并就一些计算结果作了讨论. 关键词： 混合物 原子结构 Thomas-Fermi模型     

Estimating Magic Numbers Larger Than 126 by Fermi—Yang Liming Method

The Fermi-Yang Liming method is followed and developed to estimate new magic numbers in nuclei with a Woods-Saxon density function.The calculated results predict that the magic number next to 126 should be around 184 and 258.