Time-dependent density-functional theory/localized density matrix method for dynamic hyperpolarizability

Localized-density-matrix implementation of time-dependent density-functional theory

Time-dependent density-functional and reduced density-matrix methods for few electrons: Exact versus adiabatic approximations

To address the impact of electron correlations in the linear and non-linear response regimes of interacting many-electron systems exposed to time-dependent external fields, we study one-dimensional (1D) systems where the interacting problem is solved exactly by exploiting the mapping of the 1D N -electron problem onto an N -dimensional single electron problem. We analyze the performance of the ...

Semiclassical Correlation in Time-Dependent Density Matrix Functional Theory

The impact of time-dependent density functional theory (TDDFT) [1, 2] on calculations of excitation spectra and response in atoms, molecules, and solids is evident in its increasing use. In such applications a weak perturbation is applied to the system beginning in its ground state, and usually the exchange-correlation (xc) effects are treated with a ground-state approximation. Generally the re...

Adiabatic approximation of time-dependent density matrix functional response theory.

Time-dependent density matrix functional theory can be formulated in terms of coupled-perturbed response equations, in which a coupling matrix K(omega) features, analogous to the well-known time-dependent density functional theory (TDDFT) case. An adiabatic approximation is needed to solve these equations, but the adiabatic approximation is much more critical since there is not a good "zero ord...

Time-dependent density functional theory.

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 Schrodinger equations, the Kohn-Sham equations. The nontrivial part of the many-body interacti...