A unified approach to the density-potential mapping in a family of time-dependent density functional theories

作者：Tokatly I V^*

来源：Chemical Physics, 2011, 391(1): 78-82.

DOI：10.1016/j.chemphys.2011.04.005

• Time-dependent density functional theory
• Time-dependent current density functional theory
• Mapping theorem
• V-Representability

It is shown that the density-potential mapping and the nu-representability problems in the time-dependent current density functional theory (TDCDFT) are reduced to the solution of a certain many-body nonlinear Schrodinger equation (NLSE). The derived NLSE for TDCDFT links the earlier NLSE-based formulations of the time-dependent deformation functional theory (TDDefFT) and the time-dependent density functional theory (TDDFT). We establish a close relation between the nonlinear many-body problems which control the existence of TDCDFT, TDDFT, and TDDefFT, and thus develop a unified point of view on the whole family of the TDDFT-type theories.

• 出版日期2011-11-24