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Open AccessArticle

A Quantum Model for the Dynamics of Cold Dark Matter

1
ITP, Heidelberg University, Philosophenweg 16, 69120 Heidelberg, Germany
2
Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Campus Universitario, Parco Area delle Scienze n. 7/a, 43124 Parma, Italy
3
INFN, Sezione di Padova, 35131 Padova, Italy
4
Centre for Bioinformatics and Photonics (CiBioFi), Universidad del Valle, A.A. 25360, 760032 Cali, Colombia
5
INFN, Sezione di Milano Bicocca, Gruppo Collegato di Parma, 43124 Parma, Italy
*
Author to whom correspondence should be addressed.
Condens. Matter 2019, 4(4), 89; https://doi.org/10.3390/condmat4040089
Received: 24 October 2019 / Revised: 7 November 2019 / Accepted: 8 November 2019 / Published: 13 November 2019
(This article belongs to the Special Issue Many Body Quantum Chaos)
A model for cold dark matter is given by the solution of a coupled Schrödinger–Poisson equation system. We present a numerical scheme for integrating these equations, discussing the problems arising from their nonlinear and nonlocal character. After introducing and testing our numerical approach, we illustrate key features of the system by numerical examples in 1 + 1 dimensions. In particular, we study the properties of asymptotic states to which the numerical solutions converge for artificial initial conditions. View Full-Text
Keywords: nonlinear Schrödinger equation; Gross-Pitaevskii equation; Schrödinger-Poisson equation; Bose-Einstein condensate; dark matter nonlinear Schrödinger equation; Gross-Pitaevskii equation; Schrödinger-Poisson equation; Bose-Einstein condensate; dark matter
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MDPI and ACS Style

Zimmermann, T.; Pietroni, M.; Madroñero, J.; Amendola, L.; Wimberger, S. A Quantum Model for the Dynamics of Cold Dark Matter. Condens. Matter 2019, 4, 89.

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