Real-time, real-space implementation of the linear response time-dependent density-functional theory

2006 ◽  
Vol 243 (5) ◽  
pp. 1121-1138 ◽  
Author(s):  
K. Yabana ◽  
T. Nakatsukasa ◽  
J.-I. Iwata ◽  
G. F. Bertsch
Keyword(s):  
Density Functional Theory ◽  
Response Time ◽  
Real Time ◽  
Linear Response ◽  
Density Functional ◽  
Real Space ◽  
Time Dependent ◽  
Functional Theory ◽  
Dependent Density

scholarly journals Analysis and visualization of energy densities. II. Insights from linear-response time-dependent density functional theory calculations

2020 ◽  
Vol 22 (46) ◽  
pp. 26852-26864 ◽  
Author(s):  
Zheng Pei ◽  
Junjie Yang ◽  
Jingheng Deng ◽  
Yuezhi Mao ◽  
Qin Wu ◽  
...  
Keyword(s):  
Density Functional Theory ◽  
Response Time ◽  
Linear Response ◽  
Density Functional ◽  
Density Functional Theory Calculations ◽  
Time Dependent ◽  
Functional Theory ◽  
Tddft Calculations ◽  
Density Analysis ◽  
Dependent Density

Inspired by the analysis of Kohn–Sham energy densities by Nakai and coworkers, we extended the energy density analysis to linear-response time-dependent density functional theory (LR-TDDFT) calculations.

REAL-TIME APPROACH TO TIME-DEPENDENT DENSITY-FUNCTIONAL THEORY IN THE LINEAR AND NONLINEAR REGIME

2009 ◽  
Vol 08 (04) ◽  
pp. 561-574 ◽  
Author(s):  
MICHAEL MUNDT
Keyword(s):  
Density Functional Theory ◽  
Real Time ◽  
Density Functional ◽  
High Harmonic ◽  
External Perturbation ◽  
Real Space ◽  
Time Dependent ◽  
Functional Theory ◽  
Linear And Nonlinear ◽  
Dependent Density

The linear and nonlinear response of Si 4 and Na 4 to an external perturbation is investigated in the framework of time-dependent density-functional theory. The time-dependent Kohn–Sham equations, which are the central equations in this approach, are solved in real space and real time. A parallelized implementation to solve these nonlinear, one-particle Schrödinger equations is presented. In contrast to Na 4, Si 4 shows high-harmonic generation far beyond the cut-off predicted by the quasiclassical model and predictions for extended systems.

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