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相关论文: An orbital-free self-consistent field approach for…

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In the density functional (DF) theory of Kohn and Sham, the kinetic energy of the ground state of a system of noninteracting electrons in a general external field is calculated using a set of orbitals. Orbital free methods attempt to…

强关联电子 · 物理学 2009-11-13 Jeng-Da Chai , John D Weeks

Density-functional theory is applied to compute the ground-state energies of quantum hard-sphere solids. The modified weighted-density approximation is used to map both the Bose and the Fermi solid onto a corresponding uniform Bose liquid,…

统计力学 · 物理学 2009-10-30 A. R. Denton , P. Nielaba , N. W. Ashcroft

The relationship between the exact kinetic energy density in a quantum system in the frame of Density Functional Theory and the semiclassical functional expression for the same quantity is investigated. The analysis is performed with Monte…

原子与分子团簇 · 物理学 2014-12-15 D. I. Palade

Accurate description of deformed atomic nuclei by the orbital-free density functional theory has been a longstanding textbook challenge, due to the difficulty in accounting for the intricate quantum shell effects that are present in such…

核理论 · 物理学 2024-12-31 X. H. Wu , Z. X. Ren , P. W. Zhao

The route to reliable quantum nanoelectronic devices hinges on precise control of the electrostatic environment. For this reason, accurate methods for electrostatic simulations are essential in the design process. The most widespread…

介观与纳米尺度物理 · 物理学 2023-02-28 Waldemar Svejstrup , Andrea Maiani , Kevin Van Hoogdalem , Karsten Flensberg

Million-atom quantum simulations are in principle feasible with Orbital-Free Density Functional Theory (OF-DFT) because the algorithms only require simple functional minimizations with respect to the electron density function. In this…

材料科学 · 物理学 2019-07-17 Wenhui Mi , Michele Pavanello

Polymer self-consistent field theory techniques are used to derive quantum density functional theory without the use of the theorems of density functional theory. Instead, a free energy is obtained from a partition function that is…

化学物理 · 物理学 2022-11-29 Russell B. Thompson

Orbital-free density functional theory (OF-DFT) provides an alternative approach for calculating the molecular electronic energy, relying solely on the electron density. In OF-DFT, both the ground-state density is optimized variationally to…

化学物理 · 物理学 2023-11-23 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández

In this study, we propose a quantum-classical hybrid scheme for performing orbital-free density functional theory (OFDFT) using probabilistic imaginary-time evolution (PITE), designed for the era of fault-tolerant quantum computers (FTQC),…

量子物理 · 物理学 2024-07-24 Yusuke Nishiya , Hirofumi Nishi , Taichi Kosugi , Yu-ichiro Matsushita

We introduce an orbital free electron density functional approximation based on alchemical perturbation theory. Given convergent perturbations of a suitable reference system, the accuracy of popular self-consistent Kohn-Sham density…

化学物理 · 物理学 2020-05-27 Guido Falk von Rudorff , O. Anatole von Lilienfeld

One of the potential applications of a quantum computer is solving quantum chemical systems. It is known that one of the fastest ways to obtain somewhat accurate solutions classically is to use approximations of density functional theory.…

量子物理 · 物理学 2020-11-18 Thomas E. Baker , David Poulin

A partial differential eigenvalue equation for the density displacement fields associated with electronic excitations is derived in the framework of density functional theory. Our quantum fluid-dynamical approach is based on a variational…

原子与分子团簇 · 物理学 2009-11-07 S. Kümmel , M. Brack

We propose a lattice density-functional theory for {\it ab initio} quantum chemistry or physics as a route to an efficient approach that approximates the full configuration interaction energy and orbital occupations for molecules with…

强关联电子 · 物理学 2019-04-19 J. P. Coe

Within the framework of linear-scaling Kohn-Sham density functional theory, a robust method for maintaining compact localized orbitals close to the ground state is coupled with nuclear dynamics. This allows to obviate the commonly employed…

计算物理 · 物理学 2018-08-01 Hayden Scheiber , Yifei Shi , Rustam Z. Khaliullin

We introduce an energy functional for ground-state electronic structure calculations. Its variables are the natural spin-orbitals of singlet many-body wave functions and their joint occupation probabilities deriving from controlled…

化学物理 · 物理学 2016-12-04 Ralph Gebauer , Morrel H. Cohen , Roberto Car

In orbital-free density functional theory the kinetic potential (KP), the functional derivative of the kinetic energy density functional, appears in the Euler equation for the electron density and may be more amenable to simple…

其他凝聚态物理 · 物理学 2015-05-13 Jeng-Da Chai , Vincent L. Ligneres , Gregory Ho , Emily A. Carter , John D. Weeks

A fermion ground state energy functional is set up in terms of particle density, relative pair density, and kinetic energy tensor density. It satisfies a minimum principle if constrained by a complete set of compatibility conditions. A…

化学物理 · 物理学 2009-10-17 Bin Liu , Jerome K. Percus

The quantum mechanical ground state of a 2D $N$-electron system in a confining potential $V(x)=Kv(x)$ ($K$ is a coupling constant) and a homogeneous magnetic field $B$ is studied in the high density limit $N\to\infty$, $K\to \infty$ with…

凝聚态物理 · 物理学 2009-10-28 E. H. Lieb , J. P. Solovej , J. Yngvason

We present a reformulation of QM/MM as a fully quantum mechanical theory of interacting subsystems, all treated at the level of density functional theory (DFT). For the MM subsystem, which lacks orbitals, we assign an ad hoc electron…

In this work we give a comprehensive derivation of an exact and numerically feasible method to perform ab-initio calculations of quantum particles interacting with a quantized electromagnetic field. We present a hierachy of…

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