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A dynamical generalisation of the nonlocal coherent-potential approximation is derived based upon the functional integral approach to the interacting electron problem. The free energy is proven to be variational with respect to the…

Strongly Correlated Electrons · Physics 2014-11-25 D. A. Rowlands , Yu-Zhong Zhang

Most treatments of electron-electron correlations in dense plasmas either ignore them entirely (random phase approximation) or neglect the role of ions (jellium approximation). In this work, we go beyond both these approximations to derive…

Plasma Physics · Physics 2020-02-05 Nathaniel R. Shaffer , Charles E. Starrett

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 · Physics 2009-10-28 Tobias Grabo , E. K. U. Gross

We present the covariance analysis of two successful nuclear energy density functionals, (i) a non-relativistic Skyrme functional built from a zero-range effective interaction, and (ii) a relativistic nuclear energy density functional based…

Nuclear Theory · Physics 2016-11-25 X. Roca-Maza , N. Paar , G. Colò

The $\beta$-decay half-lives of nuclei are sensitive to the values of $Q_{\beta}$. For accurate theoretical predictions, it is essential to develop an effective interaction or an energy density functional (EDF) that can systematically…

Nuclear Theory · Physics 2025-05-16 Futoshi Minato , Yifei Niu , Kenichi Yoshida

First-principles dynamical CPA (Coherent-Potential Approximation) for electron correlations has been developed further by taking into account higher-order dynamical corrections with use of the asymptotic approximation. The theory is applied…

Strongly Correlated Electrons · Physics 2015-05-19 Y. Kakehashi , M. Atiqur R. Patoary , T. Tamashiro

The charge exchange of vector polarised deuterons on a polarised hydrogen target has been studied in a high statistics experiment at the COSY-ANKE facility at a deuteron beam energy of Td = 726 MeV. By selecting two fast protons at low…

Interpolating the exchange-correlation energy along the density-fixed adiabatic connection of density functional theory is a promising way to build approximations that are not biased towards the weakly correlated regime. These…

Strongly Correlated Electrons · Physics 2020-12-10 Derk P. Kooi , Paola Gori-Giorgi

Standard approximations for the exchange-correlation (XC) functional in Kohn-Sham density functional theory (KS-DFT) typically lead to unacceptably large errors when applied to strongly-correlated electronic systems. Partition-DFT (PDFT) is…

Chemical Physics · Physics 2023-09-12 Yi Shi , Yuming Shi , Adam Wasserman

We propose a simple analytic representation of the correlation energy for the two-dimensional electron gas, as a function of the density and the spin polarization. This new parametrization includes most of the known high- and low- density…

Strongly Correlated Electrons · Physics 2007-05-23 Paola Gori-Giorgi , Claudio Attaccalite , Saverio Moroni , Giovanni B. Bachelet

The full relaxed-density potential between spherical nuclei is considered as a sum of the macroscopic and shell-correction contributions. The macroscopic part of the potential is related to a nucleus-nucleus potential obtained in the…

Nuclear Theory · Physics 2015-06-23 V. Yu. Denisov

A theoretical description of time correlation functions for electron properties in the presence of a positive ion of charge number Z is given. The simplest case of an electron gas distorted by a single ion is considered. A semi-classical…

Statistical Mechanics · Physics 2009-11-13 Jeffrey M. Wrighton , James W. Dufty

We have obtained an analytic expression for the ring diagrams contribution to the correlation energy of a two dimensional electron liquid as a function of the uniform fractional spin polarization. Our results can be used to improve on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Chesi , G. F. Giuliani

Physically valid and numerically efficient approximations for the exchange and correlation energy are critical for reduced density-matrix functional theory to become a widely used method in electronic structure calculations. Here we examine…

Strongly Correlated Electrons · Physics 2016-03-23 A. Putaja , F. G. Eich , T. Baldsiefen , E. Rasanen

We test the Coulomb exchange and correlation energy density functionals of electron systems for atomic nuclei in the local density approximation (LDA) and the generalized gradient approximation (GGA). For the exchange Coulomb energies, it…

Nuclear Theory · Physics 2018-04-25 Tomoya Naito , Ryosuke Akashi , Haozhao Liang

We present ground and excited state energies obtained from Diffusion Monte Carlo (DMC) calculations, using accurate multiconfiguration wave functions, for $N$ electrons ($N\le13$) confined to a circular quantum dot. We analyze the…

Condensed Matter · Physics 2009-10-31 F. Pederiva , C. J. Umrigar , E. Lipparini

The nuclear binding energies for 28 nuclei including several isotopic chains with masses ranging from A=64 to A=226 were evaluated using the Skyrme effective nucleon-nucleon interaction and the Extended Thomas-Fermi approximation. The…

Nuclear Theory · Physics 2009-11-07 A. Dobrowolski , K. Pomorski , J. Bartel

Methods of the explicitly correlated F12 approach are applied to the problem of calculating the uncoupled second-order dispersion energy in symmetry-adapted perturbation theory. The accuracy of the new method is tested for noncovalently…

Chemical Physics · Physics 2018-05-15 Michal Przybytek

The validity of the rotational formula used to compute E1 and E3 transition strengths in even-even nuclei is analyzed within the Generator Coordinate Method framework based on mean field wave functions. It turns out that those nuclei with…

Nuclear Theory · Physics 2020-03-19 L. M. Robledo

We generate three families of extended covariant density functionals of nuclear matter that have varying slope of symmetry energy and skewness at nuclear saturation density, but otherwise share the same basic parameters (symmetry energy,…

Nuclear Theory · Physics 2024-01-09 Jia Jie Li , Armen Sedrakian
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