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We present a formulation of spin-conserving and spin-flip, hybrid time-dependent density functional theory (TDDFT), including the calculation of analytical forces, which allows for efficient calculations of excited state properties of…

材料科学 · 物理学 2023-12-05 Yu Jin , Victor Wen-zhe Yu , Marco Govoni , Andrew C Xu , Giulia Galli

Background: Applications of nuclear time-dependent density functional theory (TDDFT) are often capable of providing quantitative description of heavy ion reactions. However, the structure of pre-compound states produced in heavy ion…

核理论 · 物理学 2017-12-20 Bastian Schuetrumpf , Witold Nazarewicz

The time-dependent density functional (TDDFT) equations may be written either for the Kohn-Sham orbitals in Hilbert space or for the single electron density matrix in Liouville space. A collective-oscillator, quasiparticle, representation…

强关联电子 · 物理学 2009-11-10 Oleg Berman , Shaul Mukamel

Density Functional Theory (DFT) is one of the most used ab initio theoretical frameworks in materials science. It derives the ground state properties of a multi-atomic ensemble directly from the computation of its one-particle density \nr…

计算物理 · 物理学 2015-05-30 Edoardo Di Napoli , Stefan Blügel , Paolo Bientinesi

The present work proposes an approach to obtain a basis-set correction based on density-functional theory (DFT) for the computation of molecular properties in wave-function theory (WFT). This approach allows one to accelerate the basis-set…

化学物理 · 物理学 2022-05-18 Diata Traore , Julien Toulouse , Emmanuel Giner

We propose a novel scheme to bring reduced density matrix functional theory (RDMFT) into the realm of density functional theory (DFT) that preserves the accurate density functional description at equilibrium, while incorporating accurately…

化学物理 · 物理学 2014-11-07 Nektarios N. Lathiotakis , Nicole Helbig , Angel Rubio , Nikitas I. Gidopoulos

The practical success of density functional theory (DFT) is largely credited to the Kohn-Sham approach, which enables the exact calculation of the non-interacting electron kinetic energy via an auxiliary noninteracting system. Yet, the…

计算物理 · 物理学 2025-03-21 Sangita Majumdar , Zekun Shi , Giovanni Vignale

Classical iterative methods for tomographic reconstruction include the class of Algebraic Reconstruction Techniques (ART). Convergence of these stationary linear iterative methods is however notably slow. In this paper we propose the use of…

数值分析 · 数学 2015-01-22 Siegfried Cools , Pieter Ghysels , Wim van Aarle , J. Sijbers , Wim Vanroose

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

We consider a time-space fractional diffusion equation with a variable coefficient and investigate the inverse problem of reconstructing the source term, after regularizing the problem with the quasiboundary value method to mitigate the…

This work considers the iterative solution of large-scale problems subject to non-symmetric matrices or operators arising in discretizations of (port-)Hamiltonian partial differential equations. We consider problems governed by an operator…

数值分析 · 数学 2025-10-21 Volker Mehrmann , Manuel Schaller , Martin Stoll

We present an efficient method for propagating the time-dependent Kohn-Sham equations in free space, based on the recently introduced Fourier contour deformation (FCD) approach. For potentials which are constant outside a bounded domain,…

化学物理 · 物理学 2023-07-10 Jason Kaye , Alex Barnett , Leslie Greengard , Umberto De Giovannini , Angel Rubio

We present time-dependent density functional theory (TDDFT) calculations for single and dimerized Coumarin-343 molecules in order to investigate the quantum mechanical effects of chromophore aggregation in extended systems designed to…

化学物理 · 物理学 2013-09-23 Donghyun Lee , Loren Greenman , Mohan Sarovar , K. Birgitta Whaley

Computational costs of numerically solving multidimensional partial differential equations (PDEs) increase significantly when the spatial dimensions of the PDEs are high, due to large number of spatial grid points. For multidimensional…

数值分析 · 数学 2019-05-01 Yuan Liu , Yingda Cheng , Shanqin Chen , Yong-Tao Zhang

Multi-configurational wave functions are known to describe electronic structure across a Born-Oppenheimer surface qualitatively correct. However, for quantitative reaction energies, dynamical correlation originating from the many…

化学物理 · 物理学 2020-04-16 Christopher J. Stein , Markus Reiher

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

Stencil computations are widely used to simulate the change of state of physical systems across a multidimensional grid over multiple timesteps. The state-of-the-art techniques in this area fall into three groups: cache-aware tiled looping…

数据结构与算法 · 计算机科学 2021-05-17 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Yimin Zhu

One route to numerically propagating quantum systems is time-dependent density functional theory (TDDFT). The application of TDDFT to a particular system's time evolution is predicated on $V$-representability which we have analyzed in a…

量子物理 · 物理学 2020-10-27 James Brown , Jun Yang , James D Whitfield

Electronic stopping power models describing fuel heating processes in inertial fusion energy concepts typically assume linear-response behavior through quadratic scaling with the projectile charge. We report the results of real-time…

等离子体物理 · 物理学 2025-11-04 Alina Kononov , Thomas W. Hentschel , Stephanie B. Hansen , Andrew D. Baczewski

In this work we propose a novel block preconditioner, labelled Explicit Decoupling Factor Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to address the sequence of non-symmetric systems of linear…

数值分析 · 数学 2021-07-07 Stefano Nardean , Massimiliano Ferronato , Ahmad S. Abushaikha