The Structure of Density-Potential Mapping. Part I: Standard Density-Functional Theory

A Density Functional Theory Study of Structure of Phosphonic Acid

The molecular structure of the stable conformation of phosphonic acid in gas phase has beencomputed by employing complete geometry optimization in Density Functional Theory(DFT) methods. The methods used for calculations are B3LYP, BP86 and B3PW91 that havebeen studied in two series of basis sets: D95** and 6-31+G(d,p) for hydrogen and oxygenatoms; LANL2DZ for phosphorus. Bond lengths and angle...

Part I Reduced Density Matrix Functional Theory

Density-potential mapping in time-dependent density-functional theory

N. T. Maitra,1,* T. N. Todorov,2 C. Woodward,3 and K. Burke4 1Department of Physics and Astronomy, Hunter College and the Graduate Center of the City University of New York, 695 Park Avenue, New York, New York 10065, USA 2School of Mathematics and Physics, Queen’s University Belfast, Belfast BT7 1NN, United Kingdom 3Department of Mathematics, Hill Center, Rutgers, the State University of New Je...

Uniqueness of the density-to-potential mapping in excited-state density-functional theory

References: Fig.1: Two potentials (middle panel) giving the same excited-state density (upper panel) along with their corresponding ground-state densities (lower panel) for an excited-state of the three electron 1D infinitely deep well model system. The question of whether there exists a mapping from an excited-state density to a potential is central to performing density-functional calculation...

Existence, uniqueness, and construction of the density-potential mapping in time-dependent density-functional theory.

In this work we review the mapping from densities to potentials in quantum mechanics, which is the basic building block of time-dependent density-functional theory and the Kohn-Sham construction. We first present detailed conditions such that a mapping from potentials to densities is defined by solving the time-dependent Schrödinger equation. We specifically discuss intricacies connected with t...