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The van Leeuwen proof of linear-response time-dependent density functional theory (TDDFT) is generalized to thermal ensembles. This allows generalization to finite temperatures of the Gross-Kohn relation, the exchange-correlation kernel of…

Chemical Physics · Physics 2016-06-15 Aurora Pribram-Jones , Paul E. Grabowski , Kieron Burke

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

Condensed Matter · Physics 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

Linear-response time-dependent Density Functional Theory (LR-TDDFT) is a widely used method for accurately predicting the excited-state properties of physical systems. Previous works have attempted to accelerate LR-TDDFT using heterogeneous…

Hardware Architecture · Computer Science 2025-04-07 Qingcai Jiang , Buxin Tu , Xiaoyu Hao , Junshi Chen , Hong An

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…

Quantum Physics · Physics 2020-10-27 James Brown , Jun Yang , James D Whitfield

Density functional theory (DFT) is a widespread and effective tool in electronic structure calculations for ground-state electron systems. Its success has prompted exploration into the use of DFT for non-collective excited states. The delta…

Chemical Physics · Physics 2025-08-12 Ethan Pollack , Rohan Maniar , John P. Perdew

In this contribution, we extend our framework for analyzing and visualizing correlated many-electron dynamics to non-variational, highly scalable electronic structure method. Specifically, an explicitly time-dependent electronic wave packet…

Chemical Physics · Physics 2017-04-27 Gunter Hermann , Vincent Pohl , Jean Christophe Tremblay

This chapter introduces thermal density functional theory, starting from the ground-state theory and assuming a background in quantum mechanics and statistical mechanics. We review the foundations of density functional theory (DFT) by…

Chemical Physics · Physics 2014-06-02 Aurora Pribram-Jones , Stefano Pittalis , E. K. U. Gross , Kieron Burke

The dissipative dynamics of many-electron systems interacting with a thermal environment has remained a long-standing challenge within time-dependent density functional theory (TDDFT). Recently, the formal foundations of open quantum…

Other Condensed Matter · Physics 2015-05-20 David G. Tempel , Alán Aspuru-Guzik

Density functional theory (DFT) calculation has had huge success as a tool capable of predicting important physical and chemical properties of condensed matter systems. We calculate the electric dipole moment of a molecule by using the…

Chemical Physics · Physics 2019-03-12 Byeong June Min

Photo-active systems are characterized by their capacity of absorbing light energy and transforming it. Usually, more than one chromophore is involved in the light absorption and excitation transport processes in complex systems.…

Materials Science · Physics 2019-05-21 Joaquim Jornet-Somoza , Irina Lebedeva

Time-dependent density functional theory has emerged as a method of choice for calculations of spectra and response properties in physics, chemistry, and biology, with its system-size scaling enabling computations on systems much larger…

Chemical Physics · Physics 2021-07-13 Neepa T. Maitra

Improving the accuracy and thus broadening the applicability of electronic density functional theory (DFT) is crucial to many research areas, from material science, to theoretical chemistry, biophysics and biochemistry. In the last three…

Strongly Correlated Electrons · Physics 2019-03-27 Paola Gori-Giorgi , Michael Seidl

Reliable and robust convergence to the electronic ground state within density functional theory (DFT) Kohn-Sham (KS) calculations remains a thorny issue in many systems of interest. In such cases, charge sloshing can delay or completely…

Computational Physics · Physics 2020-04-07 Cedric Flamant , Grigory Kolesov , Efstratios Manousakis , Efthimios Kaxiras

Cavity quantum electrodynamics (QED) generalizations of time-dependent (TD) density functional theory (DFT) and equation-of-motion (EOM) coupled-cluster (CC) theory are used to model small molecules strongly coupled to optical cavity modes.…

Chemical Physics · Physics 2023-07-19 Marcus D. Liebenthal , Nam Vu , A. Eugene DePrince

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. A. Ullrich , G. Vignale

The density functional theory (DFT) is a remarkably successful theory of electronic structure of matter. At the foundation of this theory lies the Kohn-Sham (KS) equation. In this paper, we describe the long-time behaviour of the…

Analysis of PDEs · Mathematics 2021-05-11 Fabio Pusateri , Israel Michael Sigal

An exchange energy functional is proposed and tested for obtaining a class of excited-state energies using density functional formalism. The functional is the excited-state counterpart of the local-density approximation functional for the…

Materials Science · Physics 2007-05-23 Prasanjit Samal , Manoj K. Harbola

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

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…

Other Condensed Matter · Physics 2012-10-26 Jérôme Daligault

The treatment of degenerate states within Kohn-Sham density functional theory (KS-DFT) is a problem of longstanding interest. We propose a solution to this mapping from the interacting degenerate system to that of the noninteracting fermion…

Materials Science · Physics 2009-11-07 Viraht Sahni , Xiao-Yin Pan