Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The L²-Critical Case

2023/12/12 by Bin Chen, Chen, Bin, Yujin Guo +3
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2312.06916

openalex publication_date 2023/12/12 · openalex created_date 2023/12/14 · openalex updated_date 2026/07/28

Abstract

As a continuation of \citeme, we consider ground states of the N coupled fermionic nonlinear Schrödinger system with a parameter a and the Coulomb potential V(x) in the L²-critical case, where a>0 represents the attractive strength of the quantum particles. For any given N∈ℕ⁺, we prove that the system admits ground states, if and only if the attractive strength a satisfies 0

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