Solving the Schrodinger Poisson System using the coordinate Adaptive Moving Mesh method
General Relativity and Quantum Cosmology
2022-12-09 v2 Astrophysics of Galaxies
Abstract
In this paper, we implement the Adaptive Moving Mesh method (AMM) to the solution of initial value problems involving the Schr\"odinger equation, and more specifically the Schr\"odinger-Poisson system of equations. This method is based on the solution of the problem on a discrete domain, whose resolution is coordinate and time-dependent, and allows to dynamically assign numerical resolution in terms of desired refinement criteria. We apply the method to solve various test problems involving stationary solutions of the SP system, and toy scenarios related to the disruption of subhalo s made of ultralight bosonic dark matter traveling on top of host galaxies.
Cite
@article{arxiv.2203.10234,
title = {Solving the Schrodinger Poisson System using the coordinate Adaptive Moving Mesh method},
author = {Erick Munive-Villa and Jessica N. Lopez-Sanchez and Ana A. Avilez-Lopez and F. S. Guzman},
journal= {arXiv preprint arXiv:2203.10234},
year = {2022}
}
Comments
12 Figures. Published in Physical Review D 105, (2022)8, 083521