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arXiv · 1710.04846

Gravitational collapse in the Schr\"odinger-Poisson system

Mathias Garny·Thomas Konstandin
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Abstract

We perform a quantitative comparison between N-body simulations and the Schr\"odinger-Poisson system in 1+1 dimensions. In particular, we study halo formation with different initial conditions. We observe the convergence of various observables in the Planck constant h-bar and also test virialization. We discuss the generation of higher order cumulants of the particle distribution function which demonstrates that the Schr\"odinger-Poisson equations should not be perceived as a generalization of the dust model with quantum pressure but rather as one way of sampling the phase space of the Vlasov-Poisson system -- just as N-body simulations. Finally, we quantitatively recover the scaling behavior of the halo density profile from N-body simulations.

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Mathias Garny, Thomas Konstandin. 2017-10-13. Gravitational collapse in the Schr\"odinger-Poisson system. https://doi.org/10.1088/1475-7516%2F2018%2F01%2F009

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