Mass Concentration of Two-Spinless Fermi Systems with Attractive Interactions

2024/03/26 by Yujin Guo, Yan Li, Guo, Yujin +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2403.17591

openalex publication_date 2024/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the two-spinless mass-critical Fermi systems with attractive interactions and trapping potentials. We prove that ground states of the system exist, if and only if the strength a of attractive interactions satisfies 0

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• Gagliardo-Nirenberg-Sobolev inequalities and ground states of Fermions in relativistic Hartree-Fock model

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