From the 1 of 9 linked papers with an AI index.
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A maximal Hohenberg-Kohn theorem for non-interacting systems via potential theory
Thiago Carvalho Corso
The paper proves that for non‑interacting Schrödinger operators, the Hohenberg‑Kohn theorem holds for the widest class of form‑bounded external potentials, provided the ground‑stat…
Strictly correlated electrons in a quantum ring: from Kohn-Sham to Kantorovich potentials
Thiago Carvalho Corso
Our goal in this paper is twofold. First, we characterize the class of pairwise interactions for which the Seidl conjecture on the structure of optimal plans for the symmetric mult…
A quantitative Hohenberg-Kohn theorem and the unexpected regularity of density functional theory in one spatial dimension
Thiago Carvalho Corso, Andre Laestadius
In this paper we investigate the (Kohn-Sham) density-to-potential map in the case of spinless fermions in one spatial dimension, whose existence has been rigorously established by…
A rigorous formulation of Density Functional Theory for spinless fermions in one dimension
Thiago Carvalho Corso
In this paper, we present a completely rigorous formulation of Kohn-Sham density functional theory for spinless fermions living in one dimensional space. More precisely, we conside…
v-representability and Hohenberg-Kohn theorem for non-interacting Schrödinger operators with distributional potentials in the one-dimensional torus
Thiago Carvalho Corso
In this paper, we show that the ground-state density of any non-interacting Schrödinger operator on the one-dimensional torus with potentials in a certain class of distributions i…
On a variational problem related to the Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities
Thiago Carvalho Corso, Tobias Ried
We explicitly solve a variational problem related to upper bounds on the optimal constants in the Cwikel--Lieb--Rozenblum (CLR) and Lieb--Thirring (LT) inequalities, which has rece…