Dynamical system modeling fermionic limit

2016/12/16 by Dorota Bors, Bors, Dorota, Robert Stańczy +1
Mathematics · #34E15 #35Q85 #37N05 #70K05 #85A05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Astrophysics of Galaxies (astro-ph.GA) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Spectral Theory in Mathematical Physics #Statistical Mechanics (cond-mat.stat-mech) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1612.05442

openalex publication_date 2016/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The existence of multiple radial solutions to the elliptic equation modeling fermionic cloud of interacting particles is proved for the limiting Planck constant and intermediate values of mass parameters. It is achieved by considering the related nonautonomous dynamical system for which the passage to the limit can be established due to the continuity of the solutions with respect to the parameter going to zero.

Citations

• Quasilinear Dirichlet problems driven by positive sources

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