Calculus of Variations and Geometric Measure Theory

S. Di Marino - A. Gerolin - L. Nenna

Universal diagonal estimates for minimizers of the Levy-Lieb functional

created by nenna on 01 Mar 2023
modified on 01 Sep 2023


Accepted Paper

Inserted: 1 mar 2023
Last Updated: 1 sep 2023

Year: 2023


Given a wave-function minimizing the Levy-Lieb functional, the intent of this short note is to give an estimate of the probability of the particles being in positions $(x_1, \ldots, x_N)$ in the $\delta$-close regime $D_{\delta}= \cup_{i \neq j} \{
x_i - x_j
\leq \delta\}$.