A previous calculation of the leading corrections from quantum field fluctuations to the ground state of a trapped Bose-Einstein condensate at zero temperature is extended to general time-independent states, including vortex states. The calculation is streamlined by using dimensional regularization to regularize both ultraviolet and infrared divergences. We calculate the leading quantum correct...

Orbital-free density functional theory as an extension of traditional Thomas-Fermi theory has attracted a lot of interest in the past decade because of developments in both more accurate kinetic energy functionals and highly efficient numerical methodology. In this paper, we developed a conjugate-gradient method for the numerical solution of spin-dependent extended Thomas-Fermi equation by inco...

Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is f0(R,p) α δ(μ −Hcl) where Hcl is the classical counterpart of the self-consistent GrossPitaevskii Hamiltonian. No assumption on the large N-limit is introduced and, e.g the kinetic energy is found to be in good agreement with the quantal results even fo...

1 Abstract — Zusammenfassung We study three-dimensional rapidly rotating Bose-Einstein condensates in a theoretical context. The main results are lower and upper bounds on the Gross-Pitaevskii energy of the dilute Bose gas in the Thomas-Fermi limit. Similar results were already obtained for strongly anharmonic external potentials in 2D [CRDY07b, CY08] and homogeneous external potentials in 2D [...

An effective field approximation, similar to the atomic Thomas-Fermi approach, is proposed for studying non-Abelian gauge theories which includes finitevolume effects. As applications of the formalism the equation of state for an SU(2) gauge theory with massless fermions is obtained. The extensions to realistic situations are briefly discussed. ? [email protected] † [email protected] ‡ jose.w...

We place the Thomas-Fermi-von Weizsacker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizsacker equation as well as the fact that they minimize the Thomas-Fermi-von Weizsacker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model. Introduction The Thomas-Fe...

Approximations for the many-fermion free-energy density functional that include the Thomas-Fermi (TF) form for the noninteracting part lead to singular densities for singular external potentials (e.g., attractive Coulomb). This limitation of the TF approximation is addressed here by a formal map of the exact Euler equation for the density onto an equivalent TF form characterized by a modified K...

By the semi-inverse method, a variational principle is obtained for the Thomas– Fermi equation, then the Ritz method is applied to solve an analytical solution, which is a much simpler and more efficient method. 2002 Elsevier Science Inc. All rights reserved.

We use molecular dynamics simulations to study the formation and stability of single- multicomponent lattices in outer crust neutron stars. Including an improved treatment for Gaussian charge distributions ions, we obtain expressions potential forces arising from electron screened Coulomb interactions using efficient Ewald sum procedure. Our findings show that. baryon densities crust, a pointli...