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Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of…

统计力学 · 物理学 2018-11-21 Brett Larder , Dirk Gericke , Scott Richardson , Paul Mabey , Thomas White , Gianluca Gregori

Two forms of relativistic density functional are derived from Dirac equation. Based on their structure analysis model of split electron is proposed. In this model electric charge and mass of electron behave like two point-like particles. It…

量子物理 · 物理学 2015-05-29 Kirill Koshelev

In modeling low-dimensional electronic nanostructures, the evaluation of the electron-electron interaction is a challenging task. Here we present an accurate and practical density-functional approach to the two-dimensional many-electron…

强关联电子 · 物理学 2010-10-29 S. Pittalis , E. Rasanen

The Hohenberg-Kohn theorem and the Kohn-Sham equations, which are at the basis of the Density Functional Theory, are reformulated in terms of a particular many-body density, which is translational invariant and therefore is relevant for…

核理论 · 物理学 2021-09-29 A. Kievsky , G. Orlandini , M. Gattobigio

How does charge density constrain many-body wavefunctions in nature? The Hohenberg-Kohn theorem for non-relativistic, interacting many-body Schr\"odinger systems is well-known and was proved using \emph{reductio-ad-absurdum}; however, the…

计算物理 · 物理学 2022-04-28 Purnima Ghale

The method of many-body Green's functions is developed for arbitrary systems of electrons and nuclei starting from the full (beyond Born-Oppenheimer) Hamiltonian of Coulomb interactions and kinetic energies. The theory presented here…

其他凝聚态物理 · 物理学 2020-06-23 Ville J. Härkönen , Robert van Leeuwen , E. K. U. Gross

One of the most powerful strategies to address properties of real many-body systems is to incorporate data obtained for models, for example, to use data of the homogeneous electron gas in order to build the Local Density Approximation for…

材料科学 · 物理学 2026-05-05 Muhammed Hüseyin Güneş , Ayoub Aouina , Vitaly Gorelov , Matteo Gatti , Lucia Reining

The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. Part I of this review…

A general approach to analyze the electrodynamics of nuclear matter in bulk is presented using the relativistic Thomas-Fermi equation generalizing to the case of $N \simeq (m_{\rm Planck}/m_n)^3$ nucleons of mass $m_n$ the approach well…

天体物理学 · 物理学 2008-11-26 Remo Ruffini , Michael Rotondo , She-Sheng Xue

Anions and radicals are important for many applications including environmental chemistry, semiconductors, and charge transfer, but are poorly described by the available approximate energy density functionals. Here we test an approximate…

化学物理 · 物理学 2015-06-18 André Mirtschink , C. J. Umrigar , John D. Morgan , Paola Gori-Giorgi

The Hohenberg-Kohn theorem, a cornerstone of electronic density functional theory, concerns uniqueness of external potentials yielding given ground densities of an ${\mathcal N}$-body system. The problem is rigorously explored in a universe…

其他凝聚态物理 · 物理学 2018-04-12 Paul E. Lammert

Based on the Schrodinger equation, exact expressions for the non-relativistic particle energy in the local external field and the external field potential are derived as inhomogeneous density functionals. On this basis, it is shown that,…

统计力学 · 物理学 2011-03-24 V. B. Bobrov , S. A. Trigger

A nuclear density functional can be used to find the binding energy and shell structure of nuclei and the energy gap in superconducting nuclear matter. In this paper, we study the possible application of a nuclear density functional theory…

核理论 · 物理学 2011-04-08 Yeunhwan Lim

We compute the ab-initio electron density beyond the strict Born-Oppenheimer approximation in crystalline LiH and LiD with density functional methods. By taking into account the quantum mechanical nature of the nuclei, an aspect absent in…

材料科学 · 物理学 2026-03-13 Ville J. Härkönen

A framework for developing new approximate electronic structure methods is presented, in which the correlation energy of a many-electron system in the ground state is computed as in the single-reference second-order many-body perturbation…

化学物理 · 物理学 2011-06-15 Dimitri Laikov

The formalism developed in the first paper of the series [arXiv:0901.1060] is applied to two thermodynamic systems: (i) of three global observables (the energy, the total electron number and the spin number), (ii) of one global observable…

化学物理 · 物理学 2013-10-28 Robert Balawender , Andrzej Holas

Density functional approximations to the exchange-correlation energy of Kohn-Sham theory, such as the local density approximation and generalized gradient approximations, lack the well-known integer discontinuity, a feature that is critical…

化学物理 · 物理学 2015-06-18 Martin A. Mosquera , Adam Wasserman

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser

A non-relativisitic nuclear density functional theory is constructed, not as usual, from an effective density dependent nucleon-nucleon force but directly introducing in the functional results from microscopic nuclear and neutron matter…

核理论 · 物理学 2008-11-26 M. Baldo , P. Schuck , X. Vinas

Given a vector space of microscopic quantum observables, density functional theory is formulated on its dual space. A generalized Hohenberg-Kohn theorem and the existence of the universal energy functional in the dual space are proven. In…

核理论 · 物理学 2009-09-25 G. Rosensteel , Ts. Dankova