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Time dependent quantum systems are the subject of intense inquiry, in mathematics, science, and engineering, particularly at the atomic and molecular levels. In 1984, Runge and Gross introduced time dependent density functional theory…

偏微分方程分析 · 数学 2021-02-24 Joseph W. Jerome

We discuss two problems which are particularly challenging for approximations in time-dependent density functional theory (TDDFT) to capture: momentum-distributions in ionization processes, and memory-dependence in real-time dynamics. We…

材料科学 · 物理学 2010-03-22 Arun K. Rajam , Paul Hessler , Christian Gaun , Neepa T. Maitra

Almost all time-dependent density-functional theory (TDDFT) calculations of excited states make use of the adiabatic approximation, which implies a frequency-independent exchange-correlation kernel that limits applications to…

介观与纳米尺度物理 · 物理学 2011-12-08 Miquel Huix-Rotllant , Andrei Ipatov , Angel Rubio , Mark E. Casida

Since its beginnings, fission theory has asumed that low-energy induced fission takes place through transition-state channels at the barrier tops. Neverthess, up to now there is no microscopic theory applicable to those conditions. We…

核理论 · 物理学 2022-04-13 G. F. Bertsch , K. Hagino

Time-dependent density-functional theory (TDDFT) is an extension of ground-state density-functional theory which allows the treatment of electronic excited states and a wide range of time-dependent phenomena in the linear and nonlinear…

材料科学 · 物理学 2025-10-10 Carsten A. Ullrich

The real-time electronic dynamics on material surfaces is critically important to a variety of applications. However, their simulations have remained challenging for conventional methods such as the time-dependent density-functional theory…

化学物理 · 物理学 2015-06-16 Rulin Wang , Dong Hou , Xiao Zheng

X-ray Thomson scattering (XRTS) constitutes an essential technique for diagnosing material properties under extreme conditions, such as high pressures and intense laser heating. Time-dependent density functional theory (TDDFT) is one of the…

Real-time time-dependent density functional theory (RT-TDDFT) is known to be hindered by the very small time step (attosecond or smaller) needed in the numerical simulation due to the fast oscillation of electron wavefunctions, which…

计算物理 · 物理学 2018-10-25 Weile Jia , Dong An , Lin-Wang Wang , Lin Lin

Using the Runge-Gross theorem that establishes the foundation of Time-dependent Density Functional Theory (TDDFT) we prove that for a given electronic Hamiltonian, choice of initial state, and choice of fragmentation, there is a unique…

化学物理 · 物理学 2015-06-15 Martin A. Mosquera , Daniel Jensen , Adam Wasserman

We assess a variant of linear-response range-separated time-dependent density-functional theory (TDDFT), combining a long-range Hartree-Fock (HF) exchange kernel with a short-range adiabatic exchange-correlation kernel in the local-density…

Time-dependent density-functional theory (TDDFT) is widely used to describe electronic excitations in complex finite systems with large numbers of atoms, such as biomolecules and nanocrystals. The first part of this paper will give a simple…

材料科学 · 物理学 2008-08-15 C. A. Ullrich , V. Turkowski

The Kohn-Sham approach to time-dependent density-functional theory (TDDFT) can be formulated, in principle exactly, by invoking the force-balance equation for the density, which leads to an explicit expression for the exchange-correlation…

化学物理 · 物理学 2021-09-15 Walter Tarantino , Carsten A. Ullrich

This paper develops a quantitatively accurate first-principles description for the frequency and the linewidth of collective electronic excitations in inhomogeneous weakly disordered systems. A finite linewidth in general has intrinsic and…

介观与纳米尺度物理 · 物理学 2009-11-07 C. A. Ullrich , G. Vignale

A modified $GW$ approximation to many - body systems is developed. The approximation has the same computational complexity as the traditional $GW$ approach, but uses a different truncation scheme. This scheme neglects high order connected…

强关联电子 · 物理学 2021-09-29 Zhipeng Sun , Zhenhao Fan , Hui Li , Dingping Li , Baruch Rostenstein

The Generator Coordinate Method (GCM) in the Gaussian Overlap Approximation (GOA) is applied to a description of the nuclear quadrupole collective states. The full five-dimensional quadrupole tensor is used as a set of the generator…

核理论 · 物理学 2015-06-04 Stanisław G. Rohoziński

Building on recent results for adiabatic gauge potentials, we propose a variational approach for computing the generator of Schrieffer-Wolff transformations. These transformations consist of block diagonalizing a Hamiltonian through a…

强关联电子 · 物理学 2020-01-15 Jonathan Wurtz , Pieter Claeys , Anatoli Polkovnikov

Gross--Oliveira--Kohn (GOK) ensemble density-functional theory (GOK-DFT) is a time-\textit{independent} extension of density-functional theory (DFT) which allows to compute excited-state energies via the derivatives of the ensemble energy…

化学物理 · 物理学 2020-06-18 Clotilde Marut , Bruno Senjean , Emmanuel Fromager , Pierre-François Loos

Data generation remains a bottleneck in training surrogate models to predict molecular properties. We demonstrate that multitask Gaussian process regression overcomes this limitation by leveraging both expensive and cheap data sources. In…

化学物理 · 物理学 2024-07-11 Katharine Fisher , Michael Herbst , Youssef Marzouk

A practical electronic structure method in which a two-body functional is the fundamental variable is constructed. The basic formalism of our method is equivalent to Hartree-Fock density matrix functional theory [M. Levy in {\it Density…

其他凝聚态物理 · 物理学 2008-04-23 Balazs Hetenyi , Andreas W. Hauser

The adiabatic approximation in time-dependent density functional theory (TDDFT) yields reliable excitation spectra with great efficiency in many cases, but fundamentally fails for states of double excitation character. We discuss how…

化学物理 · 物理学 2015-05-27 Peter Elliott , Sharma Goldson , Chris Canahui , Neepa T. Maitra