DENSITY-POTENTIAL FUNCTIONAL THEORY FOR FERMIONS IN ONE DIMENSION

We showcase the advantages of orbital-free density-potential functional theory (DPFT), a more flexible variant Hohenberg-Kohn density theory. DPFT resolves usual trouble with gradient-expanded kinetic energy by facilitating systematic semiclassical approximations in terms an effective potential that incorporates all interactions. With aid two approximation schemes we demonstrate is not only scalable, universally applicable both position and momentum space, allows interaction to be approximated consistently, but can also compete highly accurate, yet restricted, methods. As two- three-dimensional geometries are extensively covered elsewhere, our focus here on one-dimensional settings, observables systematically derived from Wigner function formalism split-operator approach. The high quality results for Fermi gases Morse potentials invites use describing exotic systems, such as trapped large-spin fermion mixtures contact or dipole-dipole