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We present numerical calculations of the equation of state for dense matter in high magnetic fields, using a temperature dependent Thomas-Fermi theory with a magnetic field that takes all Landau levels into account. Free energies for atoms…

Astrophysics · Physics 2009-10-30 A. Thorolfsson , O. E. Rognvaldsson , J. Yngvason , E. H. Gudmundsson

We study self-consistent approximations such as the $\Phi$-derivable and virial approaches to dilute strongly interacting systems in equilibrium. We consider a system of non-relativistic fermions of one kind interacting via a pair potential…

Nuclear Theory · Physics 2023-12-29 E. E. Kolomeitsev , P. D. Lukianov , D. N. Voskresensky

The electrostatic screening properties of ionic fluids are of paramount importance in countless physical processes. Yet, the behavior of ionic conductors out of thermal equilibrium has to date mainly been studied in the context of…

Statistical Mechanics · Physics 2023-04-19 Andrea Grisafi , Federico Grasselli

We estimate the nuclear fusion rates for the transition OH-->F from the ground and excited molecular states and also consider effect of screening of electric charges of nuclei by bound electrons in the case of colliding atoms O and H. We…

Nuclear Theory · Physics 2007-05-23 V. B. Belyaev , D. V. Naumov , F. M. Penkov

We report a study on light force on a beam of neutral two-level atoms superimposed upon a few-cycle pulsed Gaussian laser field under both resonant and off-resonant condition. The phenomena of focusing, defocusing and steering of the…

Atomic Physics · Physics 2013-05-29 Parvendra Kumar , Amarendra K. Sarma

In the unitary regime, fermions interact strongly via two-body potentials that exhibit a zero range and a (negative) infinite scattering length. The energy density is proportional to the free Fermi gas with a proportionality constant $\xi$.…

Soft Condensed Matter · Physics 2007-05-23 T. Papenbrock

The structure of the double-layer formed at the surface of carbon electrodes is governed by the interactions between the electrode and the electrolyte species. However, carbon is notoriously difficult to simulate accurately, even with…

A new model method for describing of the electrostatic screening in two-component systems (electron-ion plasmas, dusty plasmas, electrolytes, etc) is developed. The method is applicable to the systems of higher non-ideality degree. The…

Plasma Physics · Physics 2009-06-30 A. A. Mihajlov , Y. Vitel , Lj. M. Ignjatovic

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of non-interacting fermions, and apply it to harmonically confined systems of up to N=1000 fermions.…

Statistical Mechanics · Physics 2009-10-31 Patrizia Vignolo , Anna Minguzzi , M. P. Tosi

A truly isolated atom always has an integer number of electrons. If placed in contact with a far-away metallic reservoir, a {\em range} of metallic chemical potentials $\mu$ will lead to an identical number of electrons, $N$, on the atom.…

Chemical Physics · Physics 2019-03-07 Kelsie NIffenegger , Yan Oueis , Jonathan Nafziger , Adam Wasserman

The problem of the determination of the nuclear surface and surface symmetry energy is addressed in the framework of the Extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density…

Nuclear Theory · Physics 2016-03-23 F. Aymard , F. Gulminelli , J. Margueron

In this article we are going to study the FEM solution to the Density Functional description of Helium. Solving self-consistently including electron-electron repulsion and exchange-correlation effects. This project will be split in four…

Atomic Physics · Physics 2022-08-02 Abhishek Joshi , Sinuhe Perea-Puente

As shown by Overhauser and others, accurate pair densities for the uniform electron gas may be found by solving a two-electron scattering problem with an effective screened electron-electron repulsion. In this work we explore the extension…

Materials Science · Physics 2009-11-10 Paola Gori-Giorgi , Andreas Savin

For Hill's equation on [0,infinity) we prove new characterizations of the spectral function rho(lambda) and the spectral density function f(lambda) based on analysis involving a companion system of first order differential equations in…

Numerical Analysis · Mathematics 2013-03-26 Charles Fulton , David Pearson , Steven Pruess

The self-consistent Thomas-Fermi approximation is an essential method for studying the non-uniform nuclear matter with relativistic mean-field theory. In this method, the nucleon distribution in the Wigner-Seitz cell is obtained…

Nuclear Theory · Physics 2015-12-15 Zhao-wen Zhang , Hong Shen

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

Materials Science · Physics 2009-02-05 H. A. Fertig , W. Kohn

A new reference state for density functional theory, termed the independent atom ansatz, is introduced in this work. This ansatz allows for the exact representation of electron density in terms of non-interacting, atom-localized orbitals.…

Chemical Physics · Physics 2024-05-03 Alexander V. Mironenko

The complex nature of electron-electron correlations is made manifest in the very simple but non-trivial problem of two electrons confined within a sphere. The description of highly non-local correlation and self-interaction effects by…

Other Condensed Matter · Physics 2016-08-16 J. Jung , P. García-González , J. E. Alvarellos , R. W. Godby

Atom reflection is studied in the presence of a non-Abelian vector potential proportional to a spin-1/2 operator. The potential is produced by a relatively simple laser configuration for atoms with a tripod level scheme. We show that the…

Other Condensed Matter · Physics 2008-05-27 Gediminas Juzeliunas , Julius Ruseckas , Andreas Jacob , Luis Santos , Patrik Ohberg