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The dynamical effects of ground state correlations for excitation energies and transition strengths near the superfluid phase transition are studied in the soluble two level pairing model, in the context of the particle-particle self…

核理论 · 物理学 2008-11-26 E. J. V. de Passos , A. F. R. de Toledo Piza , F. Krmpotić

The self-consistent random-phase approximation (SCRPA) is reexamined within a multilevel-pairing model with double degeneracy. It is shown that the expressions for occupation numbers used in the original version of SCRPA violate the…

核理论 · 物理学 2009-11-10 Nguyen Dinh Dang

Self-consistent factorization of two-body residual interaction is proposed for arbitrary density- and current-dependent energy functionals. Following this procedure, a separable RPA (SRPA) method is constructed. SRPA considerably simplifies…

核理论 · 物理学 2009-11-07 V. O. Nesterenko , J. Kvasil , P. -G. Reinhard

The random phase approximation (RPA) to the correlation energy is extended to fractional occupations and its performance examined for exact conditions on fractional charges and fractional spins. RPA satisfies the constancy condition for…

其他凝聚态物理 · 物理学 2009-03-26 Paula Mori-Sánchez , Aron J. Cohen , Weitao Yang

The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of…

材料科学 · 物理学 2017-07-26 Xinguo Ren , Patrick Rinke , Christian Joas , Matthias Scheffler

Self-consistent factorization of two-body residual interaction is proposed for arbitrary density- and current-dependent energy functionals. Following this procedure, a separable RPA (SRPA) method is constructed. SRPA dramatically simplifies…

核理论 · 物理学 2017-08-23 J. Kvasil , V. O. Nesterenko , P. -G. Reinhard

The Self-Consistent RPA (SCRPA) equations in the particle-particle channel are solved without any approximation for the picket fence model. The results are in excellent agreement with the exact solutions found with the Richardson method.…

核理论 · 物理学 2009-11-07 Jorge G. Hirsch , Alejandro Mariano , Jorge Dukelsky , Peter Schuck

Double excitations are crucial to understanding numerous chemical, physical, and biological processes, but accurately predicting them remains a challenge. In this work, we explore the particle-particle random phase approximation (ppRPA) as…

化学物理 · 物理学 2024-11-26 Jincheng Yu , Jiachen Li , Tianyu Zhu , Weitao Yang

Relativistic Continuum Random Phase Approximation (CRPA) is used to investigate collective excitation phenomena in several spherical nuclei along the periodic table. We start from relativistic mean field calculations based on a covariant…

核理论 · 物理学 2011-03-21 J. Daoutidis , P. Ring

We present an extension of the random--phase approximation (RPA) where the RPA phonons are used as building blocks to construct the excited states. In our model, that we call double RPA (DRPA), we include up to two RPA phonons. This is an…

核理论 · 物理学 2016-02-17 D. Gambacurta , F. Catara , M. Grasso , M. Sambataro , M. V. Andrés , E. G. Lanza

The random phase approximation (RPA) for the correlation energy functional of density functional theory has recently attracted renewed interest. Formulated in terms of the Kohn-Sham (KS) orbitals and eigenvalues, it promises to resolve some…

其他凝聚态物理 · 物理学 2009-11-13 Hong Jiang , Eberhard Engel

The random phase approximation (RPA) has emerged as a prominent first-principles method in material science, particularly to study the adsorption and chemisorption of small molecules on surfaces. However, its widespread application is…

The self-consistent random phase approximation (RPA) based on a correlated realistic nucleon-nucleon interaction is used to evaluate correlation energies in closed-shell nuclei beyond the Hartree-Fock level. The relevance of contributions…

核理论 · 物理学 2007-05-23 C. Barbieri , N. Paar , R. Roth , P. Papakonstantinou

A fast method is developed for calculating the Random-Phase-Approximation (RPA) correlation energy for density functional theory. The correlation energy is given by a trace over a projected RPA response matrix and the trace is taken by a…

化学物理 · 物理学 2013-01-01 Daniel Neuhauser , Eran Rabani , Roi Baer

We apply the analytically solvable model of two electrons in two orbitals to diradical molecules, characterized by two unpaired electrons. The effect of the doubly occupied and empty orbitals is taken into account by means of random phase…

化学物理 · 物理学 2025-11-20 Reza G. Shirazi , Vladimir V. Rybkin , Michael Marthaler , Dmitry S. Golubev

Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of…

核理论 · 物理学 2023-03-14 Giampaolo Co'

Theoretical description of collective nuclear excitations and astrophysically relevant processes require methods going beyond the Random Phase Approximation (RPA) or Tamm-Dancoff Approximation (TDA), which are limited to…

核理论 · 物理学 2025-09-23 Deni Vale , Nils Paar

Nuclear microscopic structural models that treat two-body effective interactions self-consistently becomes available, one of which is second-random-phase-approximation (SRPA). SRPA can be used to study evolutions from 1 particle-1 hole…

核理论 · 物理学 2024-11-05 Futoshi Minato

Developing theoretical understanding of complex reactions and processes at interfaces requires using methods that go beyond semilocal density functional theory to accurately describe the interactions between solvent, reactants and…

The random-phase approximation (RPA) formulated within the adiabatic connection fluctuation-dissipation framework is a powerful approach to compute the ground-state energies and properties of molecules and materials. Its overall…

化学物理 · 物理学 2025-05-13 Muhammad N. Tahir , Honghui Shang , Xinguo Ren
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