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Related papers: Wide-range shell correction to the Thomas--Fermi t…

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The semi-classical approach leading to the Thomas-Fermi (TF) model provides a simple universal thermodynamic description of the electronic cloud surrounding the nucleus in an atom. This model is known to be exact at the limit of…

Materials Science · Physics 2016-09-06 Eyal Segev , Doron Gazit

We study {{\rm C}$_{60}$} with the use of Thomas-Fermi theory. A spherical shell model is invoked to treat the nuclear potential, where the nuclear and core charges are smeared out into a shell of constant surface charge density. The…

chem-ph · Physics 2009-10-28 Dennis P. Clougherty , Xiang Zhu

The various thermodynamic functions dependence on degree of energy band occupation and temperature was studied. The one-band tight binding approximation for the electron energy spectrum was used. The Fermi energy, density of states,…

Statistical Mechanics · Physics 2010-10-11 B. V. Karpenko , A. V. Kuznetzov , V. V. Dyakin

We first give an overview of the shell-correction method which was developed by V. M. Strutinsky as a practicable and efficient approximation to the general selfconsistent theory of finite fermion systems suggested by A. B. Migdal and…

Nuclear Theory · Physics 2015-03-17 A. G. Magner , I. S. Yatsyshyn , K. Arita , M. Brack

The recently developed semiclassical variational Wigner-Kirkwood (VWK) approach is applied to finite nuclei using external potentials and self-consistent mean fields derived from Skyrme interactions and from relativistic mean field theory.…

Nuclear Theory · Physics 2010-12-23 M. Centelles , P. Schuck , X. Vinas

We calculate numerically the quasiparticle effective mass (m*) renormalization as a function of temperature and electron density in two- and three-dimensional electron systems with long-range Coulomb interaction. In two dimensions, the…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

Effects of finite-temperature quasiparticle self-energy corrections to x-ray absorption spectra are investigated within the finite-temperature quasiparticle local density GW approximation up to temperatures $T$ of order the Fermi…

Materials Science · Physics 2023-03-29 Tun S. Tan , J. J. Kas , S. B. Trickey , J. J. Rehr

Shell corrections of finite, spherical, one-body potentials are analyzed using a smoothing procedure which properly accounts for the contribution from the particle continuum, i.e., unbound states. Since the plateau condition for the…

Nuclear Theory · Physics 2008-11-26 T. Vertse , A. T. Kruppa , R. J. Liotta , W. Nazarewicz , N. Sandulescu , T. R. Werner

We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We…

Strongly Correlated Electrons · Physics 2009-11-10 Victor Galitski , S. Das Sarma

We study the ground--state shell correction energy of a fermionic gas in a mean--field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular,…

Nuclear Theory · Physics 2008-11-26 Jérôme Roccia , Patricio Leboeuf

The thermal evolution of the shell correction energy is investigated for deformed nuclei using Strutinsky prescription in a self-consistent relativistic mean-field framework. For temperature independent single-particle states corresponding…

Nuclear Theory · Physics 2009-11-07 B. K. Agrawal , Tapas Sil , S. K. Samaddar , J. N. De

Polymer self-consistent field theory techniques are used to find radial electron densities and total binding energies for isolated atoms. Quantum particles are modelled as Gaussian threads with ring-polymer architecture in a four…

Quantum Physics · Physics 2022-11-30 Russell B. Thompson

Partial differential equations for the electric potential at finite temperature, taking into account the thermal Euler-Heisenberg contribution to the electromagnetic Lagrangian are derived. This complete temperature dependence introduces…

Nuclear Theory · Physics 2017-10-11 A. Bermudez Manjarres , N. G. Kelkar , Marek Nowakowski

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

In order to obtain a reasonably accurate and easily implemented approach to many-electron calculations, we will develop a new Density Functional Theory (DFT). Specifically, we derive an approximation to electron density, the first term of…

Materials Science · Physics 2010-04-23 Gregory C. Dente

From the static polarization function of electrons in the random phase approximation the quantum Bohm potential for the quantum hydrodynamic description of electrons, and the density gradient correction to the Thomas-Fermi free energy at a…

Plasma Physics · Physics 2018-02-09 Zh. A. Moldabekov , M. Bonitz , T. S. Ramazanov

Local field correction effects on intra-layer inelastic scattering rate of interacting electrons are theoretically investigated in a coupled-quantum-wells structure, at finite temperature. At first, temperature dependent dynamic dielectric…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Vahdat Rafee , Alireza Razeghizadeh , Abdolrasoul Gharaati

In this work we study in a formal way the density dependent hadron field theory at finite temperature for nuclear matter. The thermodynamical potential and related quantities, as energy density and pressure are derived in two different…

Nuclear Theory · Physics 2008-11-26 S. S. Avancini , M. E. Bracco , M. Chiapparini , D. P. Menezes

Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and Relativistic Mean-Field theories. Due to the presence of low-lying proton…

Nuclear Theory · Physics 2009-10-31 A. T. Kruppa , M. Bender , W. Nazarewicz , P. -G. Reinhard , T. Vertse , S. Cwiok

Shell corrections to the moment of inertia (MI) are calculated for a Woods-Saxon potential of spheroidal shape and at different deformations. This model potential is chosen to have a large depth and a small surface diffuseness which makes…

Nuclear Theory · Physics 2021-02-24 D. V. Gorpinchenko , A. G. Magner , J. Bartel
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