Real-time linear response for time-dependent density-functional theory

Roi Baer*, Daniel Neuhauser

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

81 Scopus citations


We present a linear-response approach for time-dependent density-functional theories using time-adiabatic functionals. The resulting theory can be performed both in the time and in the frequency domain. The derivation considers an impulsive perturbation after which the Kohn-Sham orbitals develop in time autonomously. The equation describing the evolution is not strictly linear in the wave function representation. Only after going into a symplectic real-spinor representation does the linearity make itself explicit. For performing the numerical integration of the resulting equations, yielding the linear response in time, we develop a modified Chebyshev expansion approach. The frequency domain is easily accessible as well by changing the coefficients of the Chebyshev polynomial, yielding the expansion of a formal symplectic Green's operator.

Original languageAmerican English
Pages (from-to)9803-9807
Number of pages5
JournalJournal of Chemical Physics
Issue number20
StatePublished - 22 Nov 2004


Dive into the research topics of 'Real-time linear response for time-dependent density-functional theory'. Together they form a unique fingerprint.

Cite this