The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit

2014/07/18 by Clément Gallo, Clement Gallo, Gallo, Clement
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Nonlinear Photonic Systems #Spectral Theory in Mathematical Physics #math.AP

paper · pdf · doi:10.48550/arxiv.1407.4974

arxiv created 2014/07/18 · openalex publication_date 2014/07/18 · arxiv updated 2014/07/21 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We prove existence and uniqueness of a positive solution to a system of two coupled Gross-Pitaevskii equations. We give a full asymptotic expansion of this solution into powers of the semi classical parameter ε in the Thomas--Fermi limit ε→ 0.

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