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Effects of the Dirac sea on the excitation energy of the giant monopole states are investigated in an analytic way within the $\sigma-\omega$ model. The excitation energy is determined by the relativistic Landau-Migdal parameters, $F_0$ and…

核理论 · 物理学 2009-10-31 Haruki Kurasawa , Toshio Suzuki

We reconsider the theory of the half-filled lowest Landau level using the Chern-Simons formulation and study the grand-canonical potential in the random-phase approximation (RPA). Calculating the unperturbed response functions for current-…

介观与纳米尺度物理 · 物理学 2009-10-31 J. Dietel , Th. Koschny , W. Apel , W. Weller

Phase separation of the ultrasoft restricted primitive model (URPM) with Gaussian charges is re-investigated in the random phase approximation (RPA)---the 'Level A' approximation discussed by Nikoubashman, Hansen and Kahl [J. Chem. Phys.…

统计力学 · 物理学 2013-02-22 Patrick B. Warren , Andrew J. Masters

Roles of antinucleon degrees of freedom in the relativistic random phase approximation(RPA) are investigated. The energy-weighted sum of the RPA transition strengths is expressed in terms of the double commutator between the excitation…

核理论 · 物理学 2015-12-14 Haruki Kurasawa , Toshio Suzuki

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

The Random Phase and Amplitude Formalism (RPA) has significantly extended the scope of weak turbulence studies. Because RPA does not assume any proximity to the Gaussianity in the wavenumber space, it can predict, for example, how the…

混沌动力学 · 物理学 2014-01-15 Mitsuhiro Tanaka , Naoto Yokoyama

As a new approach to efficiently describe correlation effects in the relativistic quantum world we propose to consider reduced density matrix functional theory, where the key quantity is the first-order reduced density matrix (1-RDM). In…

化学物理 · 物理学 2022-05-05 M. Rodríguez-Mayorga , K. J. H. Giesbertz , L. Visscher

The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective…

核理论 · 物理学 2016-05-09 Kai Wen , Kouhei Washiyama , Ni Fang , Takashi Nakatsukasa

The isoscalar giant dipole resonance structure in $^{208}$Pb is calculated in the framework of a fully consistent relativistic random phase approximation, based on effective mean-field Lagrangians with nonlinear meson self-interaction…

核理论 · 物理学 2009-11-06 D. Vretenar , A. Wandelt , P. Ring

The relativistic mean-field theory provides a framework in which the nuclear many-body problem is described as a self-consistent system of nucleons and mesons. In the mean-field approximation, the self-consistent time evolution of the…

核理论 · 物理学 2007-05-23 Dario Vretenar

A self-consistent random phase approximation (RPA) is proposed as an effective Hamiltonian method in Light-Front Field Theory (LFFT). We apply the general idea to the light-front massive Schwinger model to obtain a new bound state equation…

高能物理 - 理论 · 物理学 2009-10-31 Koji Harada

The relativistic random phase approximation is applied in the analysis of the evolution of the isovector dipole response in nuclei with a large neutron excess. The self-consistent framework of relativistic mean-field theory, which has been…

核理论 · 物理学 2009-11-07 D. Vretenar , N. Paar , P. Ring , G. A. Lalazissis

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'

Practical applications of fragment embedding and closely related local correlation methods critically depend on a judicious choice of a low-level theory to define the local embedding subspace and to capture long-range electrostatic and…

化学物理 · 物理学 2026-05-14 Ruiheng Song , Xiliang Gong , Aamy Bakry , Hong-Zhou Ye

The random phase approximation (RPA) is attracting renewed interest as a universal and accurate method for first-principles total energy calculations. The RPA naturally accounts for long-range dispersive forces without compromising accuracy…

材料科学 · 物理学 2013-03-04 Thomas Olsen , Kristian S. Thygesen

We formulate a microscopic theory to calculate cross section of the radiative neutron capture reaction on neutron-rich nuclei using the continuum random-phase approximation (cRPA) to the time-dependent density functional theory (TDDFT).…

核理论 · 物理学 2023-06-28 Teruyuki Saito , Masayuki Matsuo

In plasma turbulence theory, due to the complexity of the system with many non-linearly interacting waves, the dynamics of the phases is often disregarded and the so-called random-phase approximation (RPA) is used assuming the existence of…

等离子体物理 · 物理学 2016-07-13 Sara Moradi , Johan Anderson

The self-consistent random phase approximation (RPA) approach with the residual interaction derived from a relativistic point-coupling energy functional is applied to evaluate the isospin symmetry-breaking corrections {\delta}c for the…

核理论 · 物理学 2015-03-19 Z. X. Li , J. M. Yao , H. Chen

Although there exists a clear and, in principle, exact theoretical formulation for the equation of motion for the response of a correlated fermionic system, its numerical implementations for atomic nuclei require feasible approximations.…

核理论 · 物理学 2026-02-17 A. V. Afanasjev , E. Litvinova , B. Osei

The breathing-mode giant monopole resonance is studied within the framework of the relativistic mean-field (RMF) theory. Using a broad range of parameter sets, a systematic analysis of constrained incompressibility and excitation energy of…

核理论 · 物理学 2009-10-28 M. V. Stoitsov , M. L. Cescato , P. Ring , M. M. Sharma