The equation of state ~EOS! in regimes of density (r) and temperature ~T! which are inaccessible to experiment has to be determined using theories which may themselves be out of their range of validity. Even for Al, the EOS in the region 0.1,r,2 g cm, and 1,T,50 eV, where the ionic coupling parameter G ranges from 1 –;50, is not unknown. We present results for the EOS using the Thomas-Fermi mod...

A novel expansion of the Thomas-Fermi potential for a weakly ionized atom is presented. It is employed in calculating the ionization energies of neutral atoms as they are predicted by an extended version of the Thomas-Fermi model which includes the exchange energy and the leading quantum correction. The ionization energy, I, can be split into a smooth part, /stat, that is here obtained by the s...

We consider the anharmonic oscillator with an arbitrary-degree anharmonicity, a damping term and a forcing term, all coefficients being time-dependent: u′′ + g1(x)u ′ + g2(x)u + g3(x)u n + g4(x) = 0, n real. Its physical applications range from the atomic Thomas-Fermi model to Emden gas dynamics equilibria, the Duffing oscillator and numerous dynamical systems. The present work is an overview w...

A kinetic equation describing the nonlinear evolution of intense electromagnetic pulses in electron–positron (e-p) plasmas is presented. The modulational instability is analyzed for a relativistically intense partially coherent pulse, and it is found that the modulational instability is inhibited by the spectral pulse broadening. A numerical study for the one-dimensional kinetic photon equation...

We derive a description of the spatially inhomogeneous Bose-Einstein condensate which treats the system locally as a homogeneous system. This approach, similar to the ThomasFermi model for the inhomogeneous many-particle fermion system, is well-suited to describe the atomic Bose-Einstein condensates that have recently been obtained experimentally through atomic trapping and cooling. In this pap...

Abstract. We theoretically investigate a polarized dipolar Fermi gas in free expansion. The dipolar-dipolar inter-particle interaction deforms phase-space distribution in trap and also in the expansion. We exactly predict the minimal quadrupole deformation in the expansion for the hightemperature Maxwell-Boltzmann (MB) and zero-temperature Thomas-Fermi (TF) gases in the Hartree-Fock and Landau-...

We study the properties of elongated Bose-Einstein condensates. First, we show that the dimensions of the condensate after expansion differs from the 3D Thomas-Fermi regime. We also study the coherence length of such elongated condensates.