Work

On the scaling properties of excited stationary states of the Schrödinger-Poisson model

Year: 2025

Type: article

Abstract: • We provide heuristic laws for excited Schrödinger-Poisson eigenstates. • Based on the heuristic laws, we fit the model to experimental rotation curves. • In the fitting procedure, heuristic laws guide a preselection of the parameter space. • The preselection makes parameter space exploration computationally feasible. In this work, numerical computations of excited spherically symmetric stationary states of the Schrödinger-Poisson system are performed. Novel heuristic relationships are established, that accurately describe their fundamental features as functions of the excitation index. The derived scaling laws play a fundamental role in model fitting procedures, significantly optimizing the parameter space exploration and thereby enhancing computational efficiency. The practical applicability of this methodology in astrophysical and cosmological contexts is demonstrated by successfully fitting the model to dark matter rotation curves from the SPARC database.

Source: Communications in Nonlinear Science and Numerical Simulation

DOI: 10.1016/j.cnsns.2025.109486

Authors: Gaia Marangon, Antonio Ponno, Lorenzo Zanelli

Institution: University of Padua

Language: English

Topic: Galaxies: Formation, Evolution, Phenomena

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,710

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Gruppo Nazionale per la Fisica Matematica, International Council of Shopping Centers