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Solving the Schrodinger Poisson System using the coordinate Adaptive Moving Mesh method

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arxiv 2203.10234 v2 pith:4GHF7WI4 submitted 2022-03-19 gr-qc astro-ph.GA

Erick Munive-Villa , Jessica N. Lopez-Sanchez , Ana A. Avilez-Lopez , F. S. Guzman This is my paper · ORCID
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keywords methodsystemadaptivecoordinateinvolvingmeshmovingproblems
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Diversity of Fuzzy Dark Matter Solitons

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Environmental effects, especially a central black hole and baryonic matter, can substantially alter fuzzy dark matter soliton profiles, while the soliton's own gravitomagnetic field is negligible.

  2. Gravitational Waves from Post-Collision of Fuzzy Dark Matter Solitons

    astro-ph.CO 2024-12 conditional novelty 5.0 of 10

    Head-on collisions of fuzzy dark matter solitons leave an oscillating merged soliton that emits gravitational waves with periods from a few years to tens of years for particle masses of 1e-17 to 1e-18 eV/c^2.

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