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We investigate the coupling of the electromagnetic sources (charge and current densities) to the scalar and vector potentials in classical electrodynamics, using Green function techniques. As is well known, the scalar potential shows an…

Classical Physics · Physics 2015-08-17 B. J. Wundt , U. D. Jentschura

We develop a scheme for building the scalar exchange-correlation (xc) kernel of time-dependent density functional theory (TDDFT) from the tensorial kernel of time-dependent {\em current} density functional theory (TDCDFT) and the Kohn-Sham…

Materials Science · Physics 2009-11-13 V. U. Nazarov , J. M. Pitarke , Y. Takada , G. Vignale , Y. -C. Chang

Superfluidity is a generic feature of various quantum systems at low temperatures and it is in particular important for the description of dynamics of low energy nuclear reactions. The time-dependent density functional theory (TDDFT) is, to…

Nuclear Theory · Physics 2020-07-15 M. C. Barton , S. Jin , P. Magierski , K. Sekizawa , G. Wlazłowski , A. Bulgac

We demonstrate that the zero-temperature conductance of the Anderson model can be calculated within the Landauer formalism combined with static density functional theory (DFT). The proposed approximate functional is based on…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 G. Stefanucci , S. Kurth

Ultrafast electronic dynamics in solids lies at the core of modern condensed matter and materials physics. To build up a practical ab initio method for studying solids under photoexcitation, we develop a momentum-resolved real-time time…

Materials Science · Physics 2018-10-17 Chao Lian , Shi-Qi Hu , Meng-Xue Guan , Sheng Meng

A challenge in modeling time-dependent strong-field processes such as high-harmonic generation for many-body systems, is how to effectively represent the electronic continuum. We apply Rothe's method to the time-dependent Hartree-Fock…

Chemical Physics · Physics 2025-08-22 Simon Elias Schrader , Håkon Emil Kristiansen , Thomas Bondo Pedersen , Simen Kvaal

The primary computational challenge when simulating nonadiabatic ab initio molecular dynamics is the unfavorable compute costs of electronic structure calculations with molecular size. Simple electronic structure theories, like…

Chemical Physics · Physics 2023-06-28 Justin J. Talbot , Martin Head-Gordon , Stephen J. Cotton

We present a range-separated linear-response time-dependent density-functional theory (TDDFT) which combines a density-functional approximation for the short-range response kernel and a frequency-dependent second-order Bethe-Salpeter…

Chemical Physics · Physics 2016-03-23 Elisa Rebolini , Julien Toulouse

In general relativity, an inertial frame can only be established in a small region of spacetime, and locally inertial frames are mathematically represented by a tetrad field in gravity. The tetrad field is not unique due to the freedom to…

General Relativity and Quantum Cosmology · Physics 2022-12-16 Tao Zhou

We show that time-dependent density functional theory (TDDFT) is applicable to coherent optical phonon generation by intense laser pulses in solids. The two mechanisms invoked in phenomenological theories, namely impulsively stimulated…

Materials Science · Physics 2010-06-22 Y. Shinohara , Y. Kawashita , K. Yabana , J. -I. Iwata , T. Obote , G. F. Bertsch

As a universal quantum mechanical approach to the dynamical many-body problem, the time-dependent density functional theory (TDDFT) might be inadequate to describe crucial observables that rely on two-body evolution behavior, like the…

Computational Physics · Physics 2025-11-17 Jiong-Hang Liang , Yunfeng Xiong

The advent of the Hohenberg-Kohn theorem in 1964, its extension to finite-T, Kohn-Sham theory, and relativistic extensions provide the well-established formalism of density-functional theory (DFT). This theory enables the calculation of all…

Quantum Physics · Physics 2013-07-18 M. W. C. Dharma-wardana

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

We use analytic (current) density-potential maps of time-dependent (current) density functional theory (TD(C)DFT) to inverse engineer analytically solvable time-dependent quantum problems. In this approach the driving potential (the control…

Quantum Physics · Physics 2016-06-01 Mehdi Farzanehpour , I. V. Tokatly

Despite the variety of available computational approaches, state-of-the-art methods for calculating excitation energies such as time-dependent density functional theory (TDDFT), are computationally demanding and thus limited to moderate…

Chemical Physics · Physics 2022-03-10 Martina Stella , Kritam Thapa , Luigi Genovese , Laura E. Ratcliff

Energy transfer processes from a high-intensity ultrashort laser pulse to electrons in simple dielectrics, silicon, diamond, and $\alpha$-quartz are theoretically investigated by first-principles calculations based on time-dependent density…

Optics · Physics 2019-05-22 Atsushi Yamada , Kazuhiro Yabana

Excitation energies of light-emitting organic conjugated polymers have been investigated with time-dependent density functional theory (TDDFT) within the adiabatic approximation for the dynamical exchange-correlation potential. Our…

Materials Science · Physics 2009-07-06 Jianmin Tao , Sergei Tretiak , Jian-Xin Zhu

We present an efficient and systematically convergent approach to all-electron real-time time-dependent density functional theory (TDDFT) calculations using a mixed basis, termed as enriched finite element (EFE) basis. The EFE basis…

Chemical Physics · Physics 2022-10-27 Bikash Kanungo , Nelson D. Rufus , Vikram Gavini

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…

Plasma Physics · Physics 2025-11-04 Alina Kononov , Thomas W. Hentschel , Stephanie B. Hansen , Andrew D. Baczewski

We construct a density-functional formalism adapted to uniform external magnetic fields that is intermediate between conventional Density Functional Theory and Current-Density Functional Theory (CDFT). In the intermediate theory, which we…

Chemical Physics · Physics 2018-02-14 Erik I. Tellgren , Andre Laestadius , Trygve Helgaker , Simen Kvaal , Andrew M. Teale