Metrics for Two Electron Random Potential Systems

TY - JOUR

T1 - Metrics for Two Electron Random Potential Systems

AU - Skelt, A. H.

AU - Godby, R. W.

AU - D'Amico, I.

N1 - © Sociedade Brasileira de Fısica 2018. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - Metrics have been used to investigate the relationship between wavefunction distances and density distances for families of specific systems. We extend this research to look at random potentials for time-dependent single-electron systems, and for ground-state two-electron systems. We find that Fourier series are a good basis for generating random potentials. These random potentials also yield quasi-linear relationships between the distances of ground-state densities and wavefunctions, providing a framework in which density functional theory can be explored.

AB - Metrics have been used to investigate the relationship between wavefunction distances and density distances for families of specific systems. We extend this research to look at random potentials for time-dependent single-electron systems, and for ground-state two-electron systems. We find that Fourier series are a good basis for generating random potentials. These random potentials also yield quasi-linear relationships between the distances of ground-state densities and wavefunctions, providing a framework in which density functional theory can be explored.

U2 - 10.1007/s13538-018-0589-1

DO - 10.1007/s13538-018-0589-1

M3 - Article

SN - 1678-4448

VL - 48

SP - 467

EP - 471

JO - Brazilian Journal of Physics

JF - Brazilian Journal of Physics

IS - 5

ER -