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相关论文: Self-Consistent Separable RPA For Density- and Cur…

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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

We propose a practicable method for describing linear dynamics of different finite Fermi systems. The method is based on a general self-consistent procedure for factorization of the two-body residual interaction. It is relevant for diverse…

原子与分子团簇 · 物理学 2011-05-26 V. O. Nesterenko , J. Kvasil , P. -G. Reinhard

The self-consistent separable RPA (random phase approximation) method is formulated for Skyrme forces with pairing. The method is based on a general self-consistent procedure for factorization of the two-body interaction. It is relevant for…

核理论 · 物理学 2016-03-01 V. O. Nesterenko , J. Kvasil , W. Kleinig , P. -G. Reinhard , D. S. Dolci

We formulate the self-consistent separable random-phase-approximation (SRPA) method and specify it for Skyrme forces with pairing for the case of axially symmetric deformed nuclei. The factorization of the residual interaction allows to…

核理论 · 物理学 2009-11-11 V. O. Nesterenko , W. Kleinig , J. Kvasil , P. Vesely , P. -G. Reinhard , D. S. Dolci

The consistency condition is tested within the particle-particle random-phase approximation (RPA), renormalized RPA (RRPA) and the self-consistent RPA (SCRPA) making use of the Richardson model of pairing. The two-particle separation energy…

核理论 · 物理学 2009-11-11 Nguyen Dinh Dang

Self-Consistent RPA is extended in a way so that it is compatable with a variational ansatz for the ground state wave function as a fermionic many-body vacuum. Employing the usual equation of motion technique, we arrive at extended RPA…

核理论 · 物理学 2015-05-20 Mohsen Jemai , Peter Schuck

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 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

An approach for particle-hole correlation functions, based on the so-called SCRPA, is developed. This leads to a fully self-consistent RPA-like theory which satisfies the $f$-sum rule and several other theorems. As a first step, a simpler…

强关联电子 · 物理学 2009-10-31 Steffen Schäfer , Peter Schuck

The Self-Consistent RPA (SCRPA) approach is elaborated for cases with a continuously broken symmetry, this being the main focus of the present article. Correlations beyond standard RPA are summed up correcting for the quasi-boson…

强关联电子 · 物理学 2016-03-23 D. S. Delion , P. Schuck , M. Tohyama

Self-Consistent RPA is rederived in a consistent way with the help of the Coupled Cluster ground state wave function truncated at the two body level. An exact killing operator for this wave function is introduced allowing for a detailed…

核理论 · 物理学 2015-06-16 M. Jemai , D. S. Delion , P. Schuck

Second RPA (SRPA) calculations of nuclear response are performed and analyzed. Unlike in most other SRPA applications, the ground state, approximated by the Hartree-Fock (HF) ground state, and the residual couplings are described by the…

核理论 · 物理学 2010-04-06 P. Papakonstantinou , R. Roth

The random phase approximation (RPA) and the $GW$ approximation share the same total energy functional but RPA is defined on a restricted domain of Green's functions determined by a local Kohn-Sham (KS) potential. In this work, we perform…

材料科学 · 物理学 2025-08-26 Thomas Pitts , Damian Contant , Maria Hellgren

The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA…

核理论 · 物理学 2021-08-25 P. Schuck , D. S. Delion , J. Dukelsky , M. Jemai , E. Litvinova , G. Roepke , M. Tohyama

We propose a practical method to solve the random-phase approximation (RPA) in the self-consistent Hartree-Fock (HF) and density-functional theory. The method is based on numerical evaluation of the residual interactions utilizing finite…

核理论 · 物理学 2010-11-26 Takashi Nakatsukasa , Tsunenori Inakura , Kazuhiro Yabana

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 explore a separable resolution-of-the-identity formalism built on quadratures over limited sets of real-space points designed for all-electron calculations. Our implementation preserves in particular the use of common atomic orbitals and…

化学物理 · 物理学 2019-05-22 Ivan Duchemin , Xavier Blase

Self-consistent relativistic random-phase approximation (RPA) in the radial coordinate representation is established by using the finite amplitude method (FAM). Taking the isoscalar giant monopole resonance in spherical nuclei as example,…

核理论 · 物理学 2013-10-16 Haozhao Liang , Takashi Nakatsukasa , Zhongming Niu , Jie Meng

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 derive the self-consistent random phase approximations (sc-RPA) from the projective truncation approximation (PTA) for the equation of motion of two-time Green's function. The obtained sc-RPA applies to arbitrary temperature and recovers…

强关联电子 · 物理学 2026-04-21 Yue-Hong Wu , Xinguo Ren , Ning-Hua Tong
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