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We propose global hybrid approximations of the exchange-correlation (XC) energy functional which reproduce well the modified fourth-order gradient expansion of the exchange energy in the semiclassical limit of many-electron neutral atoms…

化学物理 · 物理学 2015-01-22 E. Fabiano , L. A. Constantin , P. Cortona , F. Della Sala

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

原子物理 · 物理学 2008-10-23 V. V. Kavera

We have performed self-consistent calculations for first and second row atoms using a variant of density-functional theory, the optimized effective potential method, with an approximation due to Krieger, Li and Iafrate and a…

chem-ph · 物理学 2009-10-28 Tobias Grabo , E. K. U. Gross

We show that generalized spherical harmonics are well suited for representing the space and orientation molecular density in the resolution of the molecular density functional theory. We consider the common system made of a rigid solute of…

化学物理 · 物理学 2017-10-11 Lu Ding , Maximilien Levesque , Daniel Borgis , Luc Belloni

Quantum statistical systems, composed of atoms or molecules interacting with each other through highly singular non-integrable potentials, are considered. The treatment of such systems cannot start with the standard approximations such as…

量子物理 · 物理学 2025-03-13 V. I. Yukalov , E. P. Yukalova

We comment on a recent article by H. L. Neal [Am. J. Phys. 66, 512 (1998)], in which an analytic expression for the Hohenberg-Kohn functional was derived for one-dimensional two-particle systems with the harmonic interaction. We argue that…

物理教育 · 物理学 2007-05-23 Arno Schindlmayr

We present a new density functional, which is the result of a natural evolution and improvement of previous density functional theories for liquid helium. We focus on the key ingredients of the theory, showing how they determine important…

凝聚态物理 · 物理学 2007-05-23 Franco Dalfovo , Andrea Lastri , Sandro Stringari

Based on the Schrodinger equation, exact expressions for the non-relativistic particle energy in the local external field and the external field potential are derived as inhomogeneous density functionals. On this basis, it is shown that,…

统计力学 · 物理学 2011-03-24 V. B. Bobrov , S. A. Trigger

Density functional theory (DFT) is applied to atomic spectra under perturbations of superfluid liquid helium. The atomic DFT of helium is used to obtain the distribution of helium atoms around the impurity atom, and the electronic DFT is…

核理论 · 物理学 2017-08-23 Takashi Nakatsukasa , Kazuhiro Yabana , George F Bertsch

The construction of density-functional approximations is explored by modeling the adiabatic connection em locally, using energy densities defined in terms of the electrostatic potential of the exchange-correlation hole. These local models…

化学物理 · 物理学 2016-05-04 Stefan Vuckovic , Tom Irons , Andreas Savin , Andrew M. Teale , Paola Gori-Giorgi

The exact universal functional of integer charge leads to an extension to fractional charge asymptotically when it is applied to a system made of asymptotically separated densities. The extended functional is asymptotically local and is…

化学物理 · 物理学 2024-12-17 Jing Kong

The role that non-local short-range correlation plays at metal surfaces is investigated by analyzing the correlation surface energy into contributions from dynamical density fluctuations of various two-dimensional wave vectors. Although…

材料科学 · 物理学 2009-11-07 J. M. Pitarke , J. P. Perdew

We test the applicability of density functional theory (DFT) to spectral perturbations taking an example of a Cs atom surrounded by superfluid helium. The atomic DFT of helium is used to obtain the distribution of helium atoms around the…

原子物理 · 物理学 2008-12-18 Takashi Nakatsukasa , Kazuhiro Yabana , George F. Bertsch

The exchange-correlation energy in Kohn-Sham density functional theory is expressed as a functional of the electronic density and the Kohn-Sham orbitals. An alternative to Kohn-Sham theory is to express the energy as a functional of the…

计算物理 · 物理学 2009-10-31 S. Goedecker , C. Umrigar

A novel density functional, which accounts correctly for the equation of state, the static response function and the phonon-roton dispersion in bulk liquid helium, is used to predict static and dynamic properties of helium droplets. The…

凝聚态物理 · 物理学 2009-10-28 M. Casas , F. Dalfovo , A. Lastri , Ll. Serra , S. Stringari

The construction of meta generalized gradient approximations based on the density matrix expansion (DME) is considered as one of the most accurate technique to design semilocal exchange energy functionals in two-dimensional density…

材料科学 · 物理学 2018-05-09 Abhilash Patra , Subrata Jana , Prasanjit Samal

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

材料科学 · 物理学 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

We present a density matrix approach for computing global solutions of Hartree-Fock theory, based on semidefinite programming (SDP), that gives upper and lower bounds on the Hartree-Fock energy of quantum systems. Equality of the upper- and…

化学物理 · 物理学 2014-02-11 Srikant Veeraraghavan , David A. Mazziotti

Equilibrium properties of hydrogen-helium mixtures under thermodynamic conditions found in the interior of giant gas planets are studied by means of density functional theory molecular dynamics simulations. Special emphasis is placed on the…

材料科学 · 物理学 2009-09-29 Jan Vorberger , Isaac Tamblyn , Stanimir A. Bonev , Burkhard Militzer

An atom placed inside a cavity of finite dimension offers many interesting features, and thus has been a topic of great current activity. This work proposes a density functional approach to pursue both ground and excited states of a…

量子物理 · 物理学 2022-05-20 Sangita Majumdar , Amlan K. Roy