Symbolic regression rediscovers the exact von Weizsäcker kinetic-energy functional for one electron and Thomas-Fermi-like variants for many electrons in 1D, while showing semi-local forms fail for few-electron systems.
Ground-state densities from the Rayleigh-Ritz variation principle and from density- functional theory,
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
cond-mat.mtrl-sci 1years
2024 1verdicts
CONDITIONAL 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
1D Kinetic Energy Density Functionals learned with Symbolic Regression
Symbolic regression rediscovers the exact von Weizsäcker kinetic-energy functional for one electron and Thomas-Fermi-like variants for many electrons in 1D, while showing semi-local forms fail for few-electron systems.