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Related papers: Perspectives on double-excitations in TDDFT

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The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for…

Condensed Matter · Physics 2007-05-23 Sandro Stringari

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

Real-time time-dependent density functional theory (RT-TDDFT) is a powerful approach for investigating various ultrafast phenomena in materials. However, most existing RT-TDDFT studies rely on adiabatic local or semi-local approximations,…

Materials Science · Physics 2025-12-23 Yuyang Ji , Haotian Zhao , Peize Lin , Xinguo Ren , Lixin He

In this work we have calculated excitation energies and photoionization cross sections of Be and Ne in the exact-exchange (EXX) approximation of time-dependent density functional theory (TDDFT). The main focus has been on the frequency…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Maria Hellgren , Ulf von Barth

The time-dependent density functional theory (TDDFT) has been broadly used to investigate the excited-state properties of various molecular systems. However, the current TDDFT heavily relies on outcomes from the corresponding ground-state…

Chemical Physics · Physics 2020-09-02 Shu-Hao Yeh , Aaditya Manjanath , Yuan-Chung Cheng , Jeng-Da Chai , Chao-Ping Hsu

We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linear response close to a non-degenerate ground state, and prove…

Analysis of PDEs · Mathematics 2024-09-19 Mi-Song Dupuy , Eloïse Letournel , Antoine Levitt

We present a theoretical description of femtosecond laser induced dynamics of the hydrogen molecule and of singly ionised sodium dimers, based on a real-space, real-time, implementation of time-dependent density functional theory (TDDFT).…

Condensed Matter · Physics 2007-05-23 Alberto Castro , M. A. L. Marques , Julio A. Alonso , George F. Bertsch , Angel Rubio

The Quantum-Electrodynamical Time-Dependent Density Functional Theory (QED-TDDFT) equations are solved by time propagating the wave function on a tensor product of a Fock-space and real-space grid. Applications for molecules in cavities…

Quantum Physics · Physics 2022-11-30 Justin Malave , Alexander Ahrens , Daniel Pitagora , Cody Covington , Kálmán Varga

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…

Mesoscale and Nanoscale Physics · Physics 2011-12-08 Miquel Huix-Rotllant , Andrei Ipatov , Angel Rubio , Mark E. Casida

Two aspects of TDDFT, the linear response approach and the adiabatic local density approximation, are examined from the perspective of lattice models. To this end, we review the DFT formulations on the lattice and give a concise…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Claudio Verdozzi , Daniel Karlsson , Marc Puig von Friesen , Carl-Olof Almbladh , Ulf von Barth

Time-dependent density-functional theory (TDDFT) treats dynamical exchange and correlation (xc) via a single-particle potential, Vxc(r,t), defined as a nonlocal functional of the density n(r',t'). The popular adiabatic local-density…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Ullrich , I. V. Tokatly

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…

Chemical Physics · Physics 2021-09-15 Walter Tarantino , Carsten A. Ullrich

Adiabatic time-dependent density functional theory fails for excitations of a heteroatomic molecule composed of two open-shell fragments at large separation. Strong frequency-dependence of the exchange-correlation kernel is necessary for…

Other Condensed Matter · Physics 2009-11-11 Neepa T. Maitra , David G. Tempel

We adopted the time-dependent density functional theory (TDDFT) within the linear augmented Slater-type orbitals (LASTO) basis and the cluster averaging method to compute the {\color{red}excitation} spectra of III-V ternary alloys with…

Computational Physics · Physics 2017-09-14 Zhenhua Ning , Ching-Tarng Liang , Yia-Chung Chang

A simple approximate solution to the linear response equations of time-dependent density functional theory (TDDFT) is given. This extends the single-pole approximation (SPA) to two strongly-coupled poles. The analysis provides both an…

Materials Science · Physics 2009-11-11 H. Appel , E. K. U. Gross , K. Burke

The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective…

Nuclear Theory · Physics 2016-05-09 Kai Wen , Kouhei Washiyama , Ni Fang , Takashi Nakatsukasa

Fission resulting from collision of atomic nuclei is systematically investigated based on time-dependent density functional calculations. Time-dependent density functional theory (TDDFT) is a framework, which enables us to treat quantum…

Nuclear Theory · Physics 2019-03-26 Yoritaka Iwata

Multi-configuration range-separated density-functional theory is extended to the time-dependent regime. An exact variational formulation is derived. The approximation, which consists in combining a long-range…

Chemical Physics · Physics 2013-02-27 Emmanuel Fromager , Stefan Knecht , Hans Jørgen Aa. Jensen

The Tamm-Dancoff Approximation (TDA) offers a computationally efficient alternative to full linear-response Time-Dependent Density Functional Theory (TDDFT) for calculating electronic excited states, particularly in large molecular systems.…

Chemical Physics · Physics 2025-07-02 Muhammed A. Dada , Sarah Pak , Matthew N. Ward , Megan Simons , Daniel R. Nascimento

We investigate the time an electronic excitation travels in a supermolecular setup using a measurement process in an open quantum-system framework. The approach is based on the stochastic Schr\"odinger equation and uses a Hamiltonian from…

Materials Science · Physics 2013-12-09 Dirk Hofmann , Heiko Appel , Massimiliano Di Ventra , Stephan Kümmel