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Density functional theory (DFT) provides a theoretical framework for efficient and fairly accurate calculations of the electronic structure of molecules and crystals. The main features of density functional theory are described and DFT…

化学物理 · 物理学 2012-06-12 Hauke Paulsen , Alfred Xaver Trautwein

The density functional theory is extended to account for self-bound systems. To this end the Hohenberg-Kohn theorem is formulated for the intrinsic density and a Kohn-Sham like procedure for an $N$--body system is derived using the…

核理论 · 物理学 2008-11-26 Nir Barnea

Orbital-free Density Functional Theory (OF-DFT) has been used when studying atoms, molecules and solids. In nuclear physics, there has been basically no application of OF-DFT so far, as the Density Functional Theory (DFT) has been widely…

核理论 · 物理学 2023-08-03 Gianluca Colo' , Kouichi Hagino

Quantum computers open up new avenues for modelling the physical properties of materials and molecules. Density Functional Theory (DFT) is the gold standard classical algorithm for predicting these properties, but relies on approximations…

量子物理 · 物理学 2024-02-29 Evan Sheridan , Lana Mineh , Raul A. Santos , Toby Cubitt

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

Density functional theory (DFT) has become the most popular approach to electronic structure across disciplines, especially in material and chemical sciences. Last year, at least 30,000 papers used DFT to make useful predictions or give…

化学物理 · 物理学 2017-01-05 Justin C. Smith , Francisca Sagredo , Kieron Burke

Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

统计力学 · 物理学 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

Density functional theory, when applied to systems with $T\neq 0$, is based on the grand canonical extension of the Hohenberg-Kohn-Sham theorem due to Mermin (HKSM theorem). While a straightforward canonical ensemble generalization fails,…

统计力学 · 物理学 2009-10-31 J. A. Hernando , L. Blum

Most realistic calculations of moderately correlated materials begin with a ground-state density functional theory (DFT) calculation. While Kohn-Sham DFT is used in about 40,000 scientific papers each year, the fundamental underpinnings are…

强关联电子 · 物理学 2022-09-26 Kieron Burke , John Kozlowski

We prove that the theorems of TDDFT can be applied to a class of qubit Hamiltonians that are universal for quantum computation. The theorems of TDDFT applied to universal Hamiltonians imply that single-qubit expectation values can be used…

量子物理 · 物理学 2011-08-20 David G. Tempel , Alan Aspuru-Guzik

Density Functional Theory (DFT) is a pivotal method within quantum chemistry and materials science, with its core involving the construction and solution of the Kohn-Sham Hamiltonian. Despite its importance, the application of DFT is…

Over the last few decades, classical density-functional theory (DFT) and its dynamic extensions (DDFTs) have become powerful tools in the study of colloidal fluids. Recently, previous DDFTs for spherically-symmetric particles have been…

统计力学 · 物理学 2016-08-02 Miguel A. Durán-Olivencia , Benjamin D. Goddard , Serafim Kalliadasis

Electronic structure calculation of atoms and molecules, in the past few decades has largely been dominated by density functional methods. This is primarily due to the fact that this can account for electron correlation effects in a…

化学物理 · 物理学 2013-07-12 Amlan K. Roy

Aspects of Density Functional Resonance Theory (DFRT) [Phys. Rev. Lett. \textbf{107}, 163002 (2011)], a recently developed complex-scaled version of ground-state Density Functional Theory (DFT), are studied in detail. The asymptotic…

量子物理 · 物理学 2015-06-04 Daniel L. Whitenack , Adam Wasserman

The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. We also show the validity of the…

数学物理 · 物理学 2011-06-27 Jianping Dong

Nuclear Density Functional Theory (DFT) plays a prominent role in the understanding of nuclear structure, being the approach with the widest range of applications. Hohenberg and Kohn theorems warrant the existence of a nuclear Energy…

核理论 · 物理学 2020-03-03 G. Accorto , P. Brandolini , F. Marino , A. Porro , A. Scalesi , G. Colò , X. Roca-Maza , E. Vigezzi

Subsystem Density-Functional Theory (DFT) is an emerging technique for calculating the electronic structure of complex molecular and condensed phase systems. In this topical review, we focus on some recent advances in this field related to…

化学物理 · 物理学 2015-06-24 Alisa Krishtal , Debalina Sinha , Alessandro Genova , Michele Pavanello

When can we map a classical density profile to an external potential? In equilibrium, without time dependence, the one-body density is known to specify the external potential that is applied to the many-body system. This mapping from a…

数学物理 · 物理学 2025-03-20 Michael Andreas Klatt , Christian Bair , Hartmut Löwen , René Wittmann

Though calculations based on density functional theory (DFT) are used remarkably widely in chemistry, physics, materials science, and biomolecular research and though the modern form of DFT has been studied for almost 60 years, some…

The key features of density-functional theory (DFT) within a minimalistic implementation of quantum electrodynamics are demonstrated, thus allowing to study elementary properties of quantum-electrodynamical density-functional theory…