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Spatial cusps in initial wavefunctions can lead to non-analytic behavior in time. We suggest a method for calculating the short-time behavior in such situations. For these cases, the density does not match its Taylor-expansion in time, but…

Quantum Physics · Physics 2013-05-30 Zeng-hui Yang , Neepa T. Maitra , Kieron Burke

We present a new methodology for the linear-response time-dependent density functional theory (LR-TDDFT) calculation of the dynamic density response function of warm dense matter in an adiabatic approximation that can be used with any…

Computational Physics · Physics 2023-05-12 Zhandos A. Moldabekov , Michele Pavanello , Maximilian P. Boehme , Jan Vorberger , Tobias Dornheim

The main goal of the present contribution is a pedagogical introduction to the fascinating world of neutron stars by relying on relativistic density functional theory. Density functional theory provides a powerful--and perhaps…

Nuclear Theory · Physics 2016-03-23 J. Piekarewicz

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

A systematic strategy for the calculation of density functionals (DFs) consists in coding informations about the density and the energy into polynomials of the degrees of freedom of wave functions. DFs and Kohn-Sham potentials (KSPs) are…

Nuclear Theory · Physics 2011-08-25 B. G. Giraud , S. Karataglidis

A single-term density functional model for nondynamic and strong correlation is presented, based on single-determinant Kohn-Sham density functional theory. It is derived from modeling the adiabatic connection and contains only two nonlinear…

Chemical Physics · Physics 2015-12-21 Jing Kong , Emil Proynov

A fundamental notion of decision-theoretic rough sets is the concept of loss functions, which provides a powerful tool of calculating a pair of thresholds for making a decision with a minimum cost. In this paper, time-dependent loss…

Information Theory · Computer Science 2015-03-18 Guangming Lang

We discuss the relationship between modern time-dependent density functional theory and earlier time-periodic versions, and why the criticisms in a recent paper (Chem. Phys. Lett. {\bf 433} (2006) 204) of our earlier analysis (Chem. Phys.…

Materials Science · Physics 2007-05-23 Neepa T. Maitra , Kieron Burke

We consider the pairing Hamiltonian and systematically construct its density functional in the strong-coupling limit and in the limit of large particle number. In the former limit, the functional is an expansion into central moments of…

Nuclear Theory · Physics 2008-11-26 T. Papenbrock , Anirban Bhattacharyya

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…

Chemical Physics · Physics 2015-06-16 Rulin Wang , Dong Hou , Xiao Zheng

We present a constructive derivation of a time-dependent deformation functional theory -- a collective variable approach to the nonequalibrium quantum many-body problem. It is shown that the motion of infinitesimal fluid elements (i.e. a…

Strongly Correlated Electrons · Physics 2011-09-19 I. V. Tokatly

We present an algorithm to calculate the linear response of periodic systems in the time-dependent density functional thoery, using a real-space representation of the electron wave functions and calculating the dynamics in real time. The…

Condensed Matter · Physics 2009-02-05 G. F. Bertsch , J. -I. Iwata , Angel Rubio , K. Yabana

We present a comprehensive theoretical description for an irradiation of an ultrashort light pulse normally on thin materials based on first-principles time-dependent density functional theory. As the most elaborate scheme, we develop a…

Optics · Physics 2018-12-31 Shunsuke Yamada , Masashi Noda , Katsuyuki Nobusada , Kazuhiro Yabana

The finite amplitude method is a feasible and efficient method for the linear response calculation based on the time-dependent density functional theory. It was originally proposed as a method to calculate the strength functions. Recently,…

Nuclear Theory · Physics 2014-09-17 Takashi Nakatsukasa

A formulation for the efficient calculation of the electromagnetic retarded potential generated by time-dependent electron density in the context of real-time time dependent density functional theory (RT-TDDFT) is presented. The electron…

Chemical Physics · Physics 2025-11-19 Matan Shapira , Vitaliy Lomakin , Amir Boag , Amir Natan

Real-time time-dependent density functional theory, in conjunction with the Ehrenfest molecular dynamics scheme, is becoming a popular methodology to investigate ultrafast phenomena on the nanoscale. Thanks to recent developments, it is…

Materials Science · Physics 2020-08-18 Jannis Krumland , Ana M. Valencia , Stefano Pittalis , Carlo A. Rozzi , Caterina Cocchi

We present a computationally tractable scheme of time-dependent transport phenomena within open-boundary time-dependent density-functional-theory. Within this approach all the response properties of a system are determined from the…

Other Condensed Matter · Physics 2009-11-11 S. Kurth , G. Stefanucci , C. -O. Almbladh , A. Rubio , E. K. U. Gross

A long standing problem in time dependent density functional theory (TD-DFT) has been the absence of a functional able to capture excitonic physics under laser pump conditions. Here we introduce a Kohn-Sham-Proca scheme that we demonstrate…

Materials Science · Physics 2025-02-10 J. K. Dewhurst , D. Gill , S. Shallcross , S. Sharma

We formulate a time-dependent density-matrix functional theory (TDDMFT) approach for higher-order correlation effects like biexcitons in optical processes in solids based on the reduced two-particle density-matrix formalism within the…

Materials Science · Physics 2015-05-19 Volodymyr Turkowski , Carsten A. Ullrich , Talat S. Rahman , Michael N. Leuenberger

We present a brief review of the classical density functional theory of atomic and molecular fluids. We focus on the application of the theory to the determination of the solvation properties of arbitrary molecular solutes in arbitrary…

Chemical Physics · Physics 2015-04-06 Guillaume Jeanmairet , Maximilien Levesque , Volodymyr Sergiievskyi , Daniel Borgis
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