Dynamical system modeling fermionic limit
Dynamical Systems
2016-12-19 v1 Astrophysics of Galaxies
Statistical Mechanics
Analysis of PDEs
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.
Cite
@article{arxiv.1612.05442,
title = {Dynamical system modeling fermionic limit},
author = {Dorota Bors and Robert Stańczy},
journal= {arXiv preprint arXiv:1612.05442},
year = {2016}
}
Comments
12 pages, 2 figures