The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
TIME-DEPENDENT DENSITY FUNCTIONAL THEORY
Abstract
▪ Abstract Time-dependent density functional theory (TDDFT) can be viewed as an exact reformulation of time-dependent quantum mechanics, where the fundamental variable is no longer the many-body wave function but the density. This time-dependent density is determined by solving an auxiliary set of noninteracting Schrödinger equations, the Kohn-Sham equations. The nontrivial part of the many-body interaction is contained in the so-called exchange-correlation potential, for which reasonably good approximations exist. Within TDDFT two regimes can be distinguished: (a) If the external time-dependent potential is “small,” the complete numerical solution of the time-dependent Kohn-Sham equations can be avoided by the use of linear response theory. This is the case, e.g., for the calculation of photoabsorption spectra. (b) For a “strong” external potential, a full solution of the time-dependent Kohn-Sham equations is in order. This situation is encountered, for instance, when matter interacts with intense laser fields. In this review we give an overview of TDDFT from its theoretical foundations to several applications both in the linear and in the nonlinear regime.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887
Density-Functional Theory for Time-Dependent Systems
Runge, E., & Gross, E. K. U. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.997 · Cited by 8,914
Self-citationElectronic excitations: density-functional versus many-body Green’s-function approaches
Onida, G., Reining, L., & Rubio, A. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.601 · Cited by 4,155
Cited by
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Recent Advances and Perspectives on Nonadiabatic Mixed Quantum–Classical Dynamics
Crespo-Otero, R., & Barbatti, M. (2018) · Chemical Reviews · doi:10.1021/acs.chemrev.7b00577 · Cited by 733
Andrea Rozzi, C., Maria Falke, S., Spallanzani, N., Rubio, A., Molinari, E., Brida, D., Maiuri, M., Cerullo, G., Schramm, H., Christoffers, J., et al. (2013) · Nature Communications · doi:10.1038/ncomms2603 · Cited by 282
De Meyer, T., Hemelsoet, K., Van Speybroeck, V., & De Clerck, K. (2014) · Dyes and Pigments · doi:10.1016/j.dyepig.2013.10.048 · Cited by 107
Glaser, R., Hodgen, B., Farrelly, D., & McKee, E. (2007) · Astrobiology · doi:10.1089/ast.2006.0112 · Cited by 83
Metadata
- Authors
- Marques, M. A. L., & Gross, E. K. U.
- Venue
- Annual Review of Physical Chemistry
- Publisher
- Annual Reviews
- Published
- 2004-06-01
- Volume
- 55
- Issue
- 1
- Pages
- 427-455
- ISSN
- 0066-426X (ISSN-L)
- 1545-1593
- OpenAlex
- W2126140700
- Cited by
- 1,628
- References
- 4
- FWCI
- 3.54
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: TIME-DEPENDENT DENSITY FUNCTIONAL THEORY. https://app.cochat.ai/papers/10.1146/annurev.physchem.55.091602.094449
- The paper
- Marques, M. A. L., & Gross, E. K. U. (2004). TIME-DEPENDENT DENSITY FUNCTIONAL THEORY. Annual Review of Physical Chemistry. https://doi.org/10.1146/annurev.physchem.55.091602.094449
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
