Geometric Time-Dependent Density Functional Theory.
Phys Rev Lett 2026 Jun 26; 136(25):256401.

Abstract

We provide a new formulation of time-dependent density functional theory (TDDFT) based on the geometric structure of the set of states constrained to have a fixed density. Orbital-free TDDFT is formulated using a hydrodynamics equation involving a new density-to-current functional map. In the corresponding Kohn-Sham equation, the density is reproduced using a nonlocal operator. Finally, we present numerical simulations for one-dimensional soft-Coulomb systems.

Authors+Show Affiliations

Cancès ÉENPC, CNRS, CERMICS, Institut Polytechnique de Paris, Marne-la-Vallee, France. Inria Paris, MATHERIALS team-project, France.
Duez TENPC, CNRS, CERMICS, Institut Polytechnique de Paris, Marne-la-Vallee, France. Inria Paris, MATHERIALS team-project, France.
van Gog JCNRS, Sorbonne Université, Laboratoire de Chimie Théorique, 4 place Jussieu, 75005 Paris, France.
Lauritsen ABUniversité Paris-Dauphine, CNRS, CEREMADE, PSL Research University, Place de Lattre de Tassigny, 75016 Paris, France.
Lewin MUniversité Paris-Dauphine, CNRS, CEREMADE, PSL Research University, Place de Lattre de Tassigny, 75016 Paris, France.
Toulouse JCNRS, Sorbonne Université, Laboratoire de Chimie Théorique, 4 place Jussieu, 75005 Paris, France.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

42430637