Construction and evolution of equilibrium configurations of the Schrödinger-Poisson system in the Madelung frame

Abstract

We present the construction of ground state equilibrium configurations of the Schrödinger-Poisson (SP) system in the Madelung frame and evolve such configuration using finite volume methods. We compare the behavior of these configurations when evolved within the SP and Madelung frames, in terms of conservation of mass and energy. We also discuss the issues of the equations in the Madelung frame and others inherent to the numerical methods used to solve them.

12 pages, 4 figures. Invited contribution

References in corpus (10)

• Ultralight scalars as cosmological dark matter
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• First star-forming structures in fuzzy cosmic filaments
• Scalar Field Dark Matter: non-spherical collapse and late time behavior
• Scalar Field Dark Matter: head-on interaction between two structures
• Oscillations and Random Walk of the Soliton Core in a Fuzzy Dark Matter Halo
• Deep zoom-in simulation of a fuzzy dark matter galactic halo
• Core-Envelope Haloes in Scalar Field Dark Matter with Repulsive Self-Interaction: Fluid Dynamics Beyond the de Broglie Wavelength
• Cosmological structure formation in scalar field dark matter with repulsive self-interaction: The Incredible Shrinking Jeans Mass
• Investigation of two colliding solitonic cores in Fuzzy Dark Matter models

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• Spherical solutions of the Schrödinger-Poisson system with core-tail structure
• Fermion-Boson Stars as Attractors in Fuzzy Dark Matter and Ideal Gas Dynamics
• Construction of ground state solutions of the Gross-Pitaevskii-Poisson system using genetic algorithms
• Time-dependent adaptive mesh refinement solver for the Gross-Pitaevskii-Poisson equations
• Effects of Self-Interaction and of an Ideal Gas in Binary Mergers of Bosonic Dark Matter Cores