Persistence of the Thomas-Fermi approximation for ground states supported by the nonlinear confinement

2014/07/30 by Boris A. Malomed, Malomed, Boris A., Dmitry E. Pelinovsky +1
Computer Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quantum Information and Cryptography #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.1407.8043

openalex publication_date 2014/07/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We justify the Thomas--Fermi approximation for the elliptic problem with the repulsive nonlinear confinement used in the recent physical literature. The method is based on the resolvent estimates and the fixed-point iterations.

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