Several Theorems in Time-Dependent Density Functional Theory
- 11 January 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 82 (2) , 378-381
- https://doi.org/10.1103/physrevlett.82.378
Abstract
The time dependence of the exchange-correlation energy in density functional theory is given in terms of the exchange-correlation potential. The virial theorem for the exchange-correlation potential is shown to hold for time-dependent electronic systems and is illustrated by an exactly solved model: Hooke's atom with a time-dependent force constant. A relation between the coupling constant and functionals evaluated on scaled densities is derived.Keywords
This publication has 21 references indexed in Scilit:
- Floquet-Bloch theory of photoeffect in intense laser fieldsPhysical Review A, 1998
- Femtosecond-to-Electron Relaxation in Strongly Confined Semiconductor NanocrystalsPhysical Review Letters, 1998
- Time-dependent density-functional theory for strong-field multiphoton processes: Application to the study of the role of dynamical electron correlation in multiple high-order harmonic generationPhysical Review A, 1998
- Time-dependent Density Functional Results for the Dynamic Hyperpolarizability ofPhysical Review Letters, 1997
- Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)]Physical Review Letters, 1997
- Generalized Gradient Approximation Made SimplePhysical Review Letters, 1996
- Enhanced optical limiting in derivatized fullerenesOptics Letters, 1996
- Dynamic polarizabilities and excitation spectra from a molecular implementation of time-dependent density-functional response theory: N2 as a case studyThe Journal of Chemical Physics, 1996
- Density-functional exchange correlation through coordinate scaling in adiabatic connection and correlation holePhysical Review A, 1991
- Self-Consistent Equations Including Exchange and Correlation EffectsPhysical Review B, 1965