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We consider several spin-unrestricted random-phase approximation (RPA) variants for calculating correlation energies, with and without range separation, and test them on datasets of atomization energies and reaction barrier heights. We show…

化学物理 · 物理学 2016-03-01 Bastien Mussard , Peter Reinhardt , Janos Angyan , Julien Toulouse

The self-force acting on a (scalar or electric) charge held in place outside a massive body contains information about the body's composition, and can therefore be used as a probe of internal structure. We explore this theme by computing…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Soichiro Isoyama , Eric Poisson

We compute the energy functional of a three-level Lipkin model via a Legrendre transform and compare exact numerical results with analytical solutions obtained from the random phase approximation (RPA). Except for the region of the phase…

核理论 · 物理学 2008-12-24 Michael G. Bertolli , Thomas Papenbrock

The Gaussian expansion method (GEM) is extensively applied to the calculations in the random-phase approximation (RPA). We adopt the mass-independent basis-set that has been tested in the mean-field calculations. By comparing the RPA…

核理论 · 物理学 2015-05-13 H. Nakada , K. Mizuyama , M. Yamagami , M. Matsuo

We report an improved implementation for evaluating the analytical gradients of the random phase approximation (RPA) electron-correlation energy based on atomic orbitals and the localized resolution of identity scheme. The more efficient…

材料科学 · 物理学 2024-04-17 Muhammad N. Tahir , Honghui Shang , Jia Li , Xinguo Ren

The random phase approximation (RPA) is exact for the exchange energy of a many-electron ground state, but RPA makes the correlation energy too negative by about 0.5 eV/electron. That large short-range error, which tends to cancel out of…

计算物理 · 物理学 2020-06-24 Tim Gould , Adrienn Ruzsinszky , John P. Perdew

The random-phase approximation to the ground state correlation energy (RPA) in combination with exact exchange (EX) has brought Kohn-Sham (KS) density functional theory one step closer towards a universal, "general purpose first principles…

We develop a new formulation of the continuum quasiparticle random phase approximation (QRPA) in which the residual interaction is derived directly from the Skyrme energy functional, keeping all the velocity dependent terms of the Skyrme…

核理论 · 物理学 2012-09-24 Kazuhito Mizuyama , Masayuki Matsuo , Yasuyoshi Serizawa

We have developed and implemented a self-consistent density functional method using standard norm-conserving pseudopotentials and a flexible, numerical LCAO basis set, which includes multiple-zeta and polarization orbitals. Exchange and…

A popular and efficient discretization of evolutions involving the singular $p$-Laplace operator is based on a factorization of the differential operator into a linear part which is treated implicitly and a regularized singular factor which…

数值分析 · 数学 2017-12-12 Sören Bartels , Lars Diening , Ricardo H. Nochetto

Recurrence quantification analysis (RQA) is a widely used tool for studying complex dynamical systems, but its standard implementation requires computationally expensive calculations of recurrence plots (RPs) and line length histograms.…

混沌动力学 · 物理学 2026-01-06 Norbert Marwan

A systematic approach for the construction of a density functional for van der Waals interactions that also accounts for saturation effects is described, i.e. one that is applicable at short distances. A very efficient method to calculate…

凝聚态物理 · 物理学 2009-10-31 Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth , Maxime Dion

A few years ago, Kurzweil and Hazak developed the Configurationally Resolved Super-Transition-Arrays (CRSTA) method for the computation of hot-plasma radiative opacity. Their approach, based on a temporal integration, is an important…

原子物理 · 物理学 2025-06-18 Jean-Christophe Pain

By combining the two-particle-irreducible (2PI) effective action common in non-equilibrium quantum field theory with the classical Martin-Siggia-Rose formalism, self-consistent equations of motion for the first and second cumulants of…

无序系统与神经网络 · 物理学 2022-05-31 Tim Bode

In this paper we develop a theoretical framework which allows us to study excitations of the nucleon. Assuming an effective two-body interaction as a model for low-energy QCD, we derive a relativistic TDHF equation for a many-body system of…

高能物理 - 唯象学 · 物理学 2016-09-01 S. Hardt , J. Geiss , H. Lenske , U. Mosel

This study investigates nuclear responses to two-body external fields, interpreted as double-phonon excitations, within the subtracted second random-phase approximation (SSRPA) for 16O. To clarify the underlying characteristics of these…

核理论 · 物理学 2025-12-24 Futoshi Minato

Pinched flow fractionation is shown to be an efficient and selective way to quickly separate particles by size in a very polydisperse semi-concentrated suspension. In an effort to optimize the method, we discuss the quantitative influence…

流体动力学 · 物理学 2012-04-17 Aparna Srivastav , Thomas Podgorski , Gwennou Coupier

Recently the damping of the collective charge (and spin) modes of interacting fermions in one spatial dimension was studied. It results from the nonlinear correction to the energy dispersion in the vicinity of the Fermi points. To…

强关联电子 · 物理学 2009-11-13 K. Schönhammer

We express the optimization of entanglement witnesses for arbitrary bipartite states in terms of a class of convex optimization problems known as Robust Semidefinite Programs (RSDP). We propose, using well known properties of RSDP, several…

量子物理 · 物理学 2007-05-23 Fernando. G. S. L. Brandao , Reinaldo O. Vianna

Based on the path integral representation of the partition function of a many body system with separable two body interaction we propose a systematic extension of the perturbed static path approximation (PSPA) to lower temperatures.…

统计力学 · 物理学 2009-11-07 Christian Rummel , Joachim Ankerhold