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In the present work we take the non relativistic limit of relativistic models and compare the obtained functionals with the usual Skyrme parametrization. Relativistic models with both constant couplings and with density dependent couplings…

核理论 · 物理学 2008-11-26 C. Providencia , D. P. Menezes , L. Brito , Ph. Chomaz

The energy density functional (EDF) method is currently the only microscopic theoretical approach able to tackle the entire nuclear chart. Nevertheless, it suffers from limitations resulting from its empirical character and deteriorating…

核理论 · 物理学 2024-04-04 Kilian Fraboulet , Jean-Paul Ebran

The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim…

核理论 · 物理学 2015-06-19 P. Becker , D. Davesne , J. Meyer , A. Pastore , J. Navarro

Following a recent work [Gal, Phys. Rev. A 64, 062503 (2001)], a simple derivation of the density-functional correction of the Hartree-Fock equations, the Hartree-Fock-Kohn-Sham equations, is presented, completing an integrated view of…

化学物理 · 物理学 2008-09-11 Tamas Gal

We propose a multiconfigurational hybrid density-functional theory which rigorously combines a multiconfiguration self-consistent-field calculation with a density-functional approximation based on a linear decomposition of the…

化学物理 · 物理学 2012-08-20 Kamal Sharkas , Andreas Savin , Hans Jørgen Aa. Jensen , Julien Toulouse

The reduced basis method is used to construct a "universal" basis of Dirac orbitals that may be applicable throughout the nuclear chart to calibrate covariant energy density functionals. Relative to our earlier work using the…

核理论 · 物理学 2024-06-05 Amy L. Anderson , J. Piekarewicz

We develop a systematic approach to construct energy functionals of the one-particle reduced density matrix (1RDM) for equilibrium systems at finite temperature. The starting point of our formulation is the grand potential $\Omega…

其他凝聚态物理 · 物理学 2018-11-20 Klaas J. H. Giesbertz , Anna-Maija Uimonen , Robert van Leeuwen

We present results of the Hartree-Fock-Bogolyubov calculations performed using nuclear energy density functionals based on regularized functional generators at next-to-leading and next-to-next-to-leading order. We discuss properties of…

核理论 · 物理学 2017-01-30 K. Bennaceur , J. Dobaczewski , Y. Gao

Reference system approach of non-relativistic electron fluid theory was adapted for calculation of characteristics of the electron-nuclear model at the densities typical of degenerate dwarfs. Two- and three correlation functions of…

统计力学 · 物理学 2017-12-15 M. V. Vavrukh , D. V. Dzikovskyi , N. L. Tyshko

In principle, many-electron correlation energy can be precisely computed from a reduced Wigner distribution function ($\mathcal{W}$) thanks to a universal functional transformation ($\mathcal{F}$), whose formal existence is akin to that of…

化学物理 · 物理学 2019-01-23 Rutvij Vihang Bhavsar , Raghunathan Ramakrishnan

This article generalizes the notion of the local density of a many-body system to introduce collective coordinates as explicit degrees of freedom. It is shown that the energy of the system can be expressed as a functional of this object.…

核理论 · 物理学 2014-04-23 Thomas Lesinski

We develop the isospin-invariant Skyrme-EDF method by considering local densities in all possible isospin channels and proton-neutron (p-n) mixing terms as mandated by the isospin symmetry. The EDF employed has the most general form that…

核理论 · 物理学 2014-05-21 J. A. Sheikh , N. Hinohara , J. Dobaczewski , T. Nakatsukasa , W. Nazarewicz , K. Sato

A mathematical framework is constructed for the sum of the lowest N eigenvalues of a potential. Exactness is illustrated on several model systems (harmonic oscillator, particle in a box, and Poschl-Teller well). Its order-by-order…

材料科学 · 物理学 2020-06-04 Kieron Burke

The new simple method of the energy reconstruction for a combined calorimeter, which we called the e/h method, is suggested. It uses only the known e/h ratios and the electron calibration constants and does not require the determination of…

高能物理 - 实验 · 物理学 2007-05-23 Y. A. Kulchitsky , M. V. Kuzmin , V. B. Vinogradov

A semi-relativistic density-functional theory that includes spin-orbit couplings and Zeeman fields on equal footing with the electromagnetic potentials, is an appealing framework to develop a unified first-principles computational approach…

材料科学 · 物理学 2017-09-13 S. Pittalis , G. Vignale , F. G. Eich

Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal kinetic-energy functional is developed in terms of the response function for the…

化学物理 · 物理学 2022-06-17 Hideaki Takahashi

Critical points of energy functionals, which are of broad interest, for instance, in physics and chemistry, in solid and quantum mechanics, in material science, or in general diffusion-reaction models arise as solutions to the associated…

数值分析 · 数学 2025-10-20 Pascal Heid , Thomas P. Wihler

Topological optimization finds a material density distribution minimizing a functional of the solution of a partial differential equation (PDE), subject to a set of constraints (typically, a bound on the volume or mass of the material).…

数值分析 · 数学 2017-05-23 G. V. Ovchinnikov , D. Zorin , I. V. Oseledets

A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm…

In this perspective, the various measures of electron correlation used in wavefunction theory, density functional theory and quantum information theory are briefly reviewed. We then focus on a more traditional metric based on dominant…

化学物理 · 物理学 2023-04-07 Róbert Izsák , Aleksei V Ivanov , Nick S. Blunt , Nicole Holzmann , Frank Neese