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Heidelberg 2022 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 6: Cosmology

GR 6.2: Vortrag

Dienstag, 22. März 2022, 16:35–16:55, GR-H3

The Schrödinger-Poisson Equation in One Spatial Dimension — •Nico Schwersenz1, Tim Zimmermann2, Victor Loaiza3, Javier Madroñero3, Massimo Pietroni4,5, Luca Amendola1, and Sandro Wimberger4,51Institut für Theoretische Physik, Universität Heidelberg, Germany — 2Institutt for Teoretisk Astrofysikk, Universitetet i Oslo, Norway — 3Departamento de Física, Universidad del Valle, Cali, Colombia — 4Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Italy — 5INFN, Sezione di Milano Bicocca, Gruppo Collegato di Parma, Italy

Despite the success of Wave-like Dark Matter [1] in explaining cosmological processes, its major issue is the high demand in computational resources. Not only does the non-linear, non-local nature of the underlying Schrödinger-Poisson equation pose a problem, but also the range of scales that have to be resolved. We construct two distinct one-dimensional toy models [2] that are less expensive from a numerical viewpoint, but still provide analogues to the phenomena observed in three dimensions. Our high-precision numerical technique is tested by an independent method. Some exemplary results will be shown for two different ways of treating the transverse dimensions, assuming uniform matter distribution in the first and strong confinement - effectively renormalizing the mass - in the second case.
[1] J. C. Niemeyer, Progress in Particle and Nuclear Physics 113, 103787 (2020)
[2] T. Zimmermann, N. Schwersenz, M. Pietroni, S. Wimberger, Physical Review D 103, 083018 (2021)

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