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 by dimarino on 06 Oct 2024

[BibTeX]

Accepted Paper

Inserted: 1 mar 2023
Last Updated: 6 oct 2024

Journal: Letters in Mathematical Physics
Volume: 113
Number: 105
Pages: 17
Year: 2023
Doi: https://doi.org/10.1007/s11005-023-01729-0

ArXiv: 2303.00496 PDF

Abstract:

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 $D_{\delta}= \cup_{i \neq j} \{ \mid x_i - x_j\mid \leq \delta\}$.


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