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A hard sphere fluid confined by hard, structureless, and parallel walls is investigated using a certain version of weighted density functional theory. The density profile, the excess coverage, the finite size contribution to the free…

统计力学 · 物理学 2008-02-03 B. Gotzelmann , S. Dietrich

We develop a semiclassical density functional theory in the context of quantum dots. Coulomb blockade conductance oscillations have been measured in several experiments using nanostructured quantum dots. The statistical properties of these…

介观与纳米尺度物理 · 物理学 2009-10-31 Denis Ullmo , Tatsuro Nagano , Steven Tomsovic , Harold U. Baranger

In the well-known Kohn-Sham theory in Density Functional Theory, a fictitious non-interacting system is introduced that has the same particle density as a system of $N$ electrons subjected to mutual Coulomb repulsion and an external…

数学物理 · 物理学 2014-04-14 Andre Laestadius

We present a similarity transformation theory based on a polynomial form of a particle-hole pair excitation operator. In the weakly correlated limit, this polynomial becomes an exponential, leading to coupled cluster doubles. In the…

强关联电子 · 物理学 2016-11-23 Matthias Degroote , Thomas M. Henderson , Jinmo Zhao , Jorge Dukelsky , Gustavo E. Scuseria

Potential functional approximations are an intriguing alternative to density functional approximations. The potential functional that is dual to the Lieb density functional is defined and properties given. The relationship between…

其他凝聚态物理 · 物理学 2014-01-08 Attila Cangi , E. K. U. Gross , Kieron Burke

Basic issues of the time-dependent density-functional theory are discussed, especially on the real-time calculation of the linear response functions. Some remarks on the derivation of the time-dependent Kohn-Sham equations and on the…

核理论 · 物理学 2017-01-06 Takashi Nakatsukasa

We introduce a spectral density functional theory which can be used to compute energetics and spectra of real strongly--correlated materials using methods, algorithms and computer programs of the electronic structure theory of solids. The…

强关联电子 · 物理学 2009-11-10 S. Y. Savrasov , G. Kotliar

We propose a systematic procedure for the approximation of density functionals in density functional theory that consists of two parts. First, for the efficient approximation of a general density functional, we introduce an efficient ansatz…

Force fields are usually formulated directly in nuclear configuration space, whereas density functional theory is naturally formulated in terms of external potentials, densities, and variational duality. We show that exact force fields are…

化学物理 · 物理学 2026-04-30 Nan Sheng

A time-dependent current-density-functional theory for many-particle systems in interaction with arbitrary external baths is developed. We prove that, given the initial quantum state $|\Psi_0>$ and the particle-bath interaction operator,…

介观与纳米尺度物理 · 物理学 2007-06-13 Massimiliano Di Ventra , Roberto D'Agosta

We present a new theory for partitioning simulations of periodic and solid-state systems into physically sound atomic contributions at the level of Kohn-Sham density functional theory. Our theory is based on spatially localized linear…

化学物理 · 物理学 2024-10-01 Luna Zamok , Janus J. Eriksen

We describe a procedure for mapping a self-consistent mean-field theory (also known as density functional theory) into a shell model Hamiltonian that includes quadrupole-quadrupole and monopole pairing interactions in a truncated space. We…

核理论 · 物理学 2008-11-26 R. Rodriguez-Guzman , Y. Alhassid , G. F. Bertsch

The derivative discontinuity of the exchange-correlation functional of density-functional theory is cast as the difference of two types of electron affinities. We show that standard Kohn-Sham calculations can be used to calculate both…

化学物理 · 物理学 2007-12-13 F. P. Rosselli , A. B. F. da Silva , K. Capelle

Density scaling has a rich history in density functional theory, providing exact conditions for use in the construction of ever more accurate approximations to the unknown exchange-correlation functional. We define a conjugate potential…

其他凝聚态物理 · 物理学 2009-06-02 Peter Elliott , Kieron Burke

Spin-current density functional theory (SCDFT) is a formally exact framework designed to handle the treatment of interacting many-electron systems including spin-orbit coupling at the level of the Pauli equation. In practice, robust and…

We provide a new formulation of Time-Dependent Density Functional Theory (TDDFT) based on the geometric structure of the set of states constrained to have a fixed density. Orbital-free TDDFT is formulated using a hydrodynamics equation…

A mixed basis approach based on density functional theory is extended to one-dimensional(1D) systems. The basis functions here are taken to be the localized B-splines for the two finite non-periodic dimensions and the plane waves for the…

材料科学 · 物理学 2016-04-20 Chung-Yuan Ren , Yia-Chung Chang , Chen-Shiung Hsue

We extend the Runge-Gross theorem for a very general class of Markovian and non-Markovian open quantum systems under weak assumptions about the nature of the bath and its coupling to the system. We show that for Kohn-Sham (KS)…

材料科学 · 物理学 2011-02-09 Joel Yuen-Zhou , David G. Tempel , César Rodríguez-Rosario , Alán Aspuru-Guzik

We present a variational formulation of Time-Dependent Density Functional Theory similar to the constrained-search variational formulation of ground-state density-function theory. The formulation is applied to justify the time-dependent…

其他凝聚态物理 · 物理学 2012-10-26 Jérôme Daligault

We study Density Functional Theory models for systems which are translationally invariant in some directions, such as a homogeneous 2-d slab in the 3-d space. We show how the different terms of the energy are modified and we derive reduced…

数学物理 · 物理学 2021-12-24 David Gontier , Salma Lahbabi , Abdallah Maichine
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