Heidelberg 2022 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 6: Cosmology
GR 6.2: Talk
Tuesday, March 22, 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 Wimberger4,5 — 1Institut 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)