DM4 - Self Gravitating Systems and Dark Matter |
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Speaker |
Briscese, Fabio |
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| Talk Title |
The Schrödinger–Poisson equations as the N-body double of dark matter dynamics at large scales. |
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Abstract |
It has been recently shown that, based on the stochastic quantization introduced by Nelson and on the Calogero conjecture, the dynamics of the classical Newtonian N-body system can be described in terms of the Schrödinger–Poisson equations (SPE) in the large N limit. This is due to the stochastic quantization of the N-body system induced by the random gravitational background produced by the N bodies. We discuss the relevance of this finding in the context of Large Scale Structure (LSS) formation. The advantage of this formulation of SPE is that, according to the Calogero conjecture, the emergent effective Planck constant is expressed in terms of the parameters of the N-body system, while in LSS numerical simulations it is a free parameter adjusted to fit the data. We show that these two approaches are in perfect agreement, which supports the correctness of our results, and the validity of the SPE as numerical double of the N-body simulations of dark matter dynamics at large scales. Moreover, this is the first practical application of the Nelson quantization and of the Calogero conjecture to a realistic physical problem. This talk is based on the following paper: F. Briscese, The Schrödinger–Poisson equations as the large-N limit of the Newtonian N-body system: applications to the large scale dark matter dynamics, Eur. Phys. J. C (2017) 77:623. |
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