Runge-Gross action-integral functional re-examined
arXiv:1203.5052 · doi:10.1103/PhysRevA.86.012514
Abstract
The density-based action-integral functional introduced by Runge and Gross [Phys. Rev. Lett. 52, 997(1984)] in their foundation of time-dependent density-functional theory (TDDFT) is re-examined. Based on an obvious expansion of the original definition, it becomes apparent that the action-integral functional is both trivial and non-stationary. It cannot be used to establish equations of motion for the time-evolution of quantum systems at the density-function level.
5 pages
References in corpus (4)
- On the "Causality Paradox" of Time-Dependent Density Functional Theory
- Is time-dependent density functional theory formally exact?
- Reply to "Comment on 'Critique of the foundations of time-dependent density functional theory'"
- Modifying the variational principle in the action integral functional derivation of time-dependent density functional theory