1–5 Dec 2025
America/Bogota timezone

OPTIMIZATION OF THE SCHRÖDINGER-POISSON MODEL USING B-SPLINES

5 Dec 2025, 08:00
20m
Talk (15+5) Theory and BSM

Speaker

Mr Jeison Stiven Lenis Trujillo (Universidad del Valle)

Description

Large-scale structures in the universe can be studied through N bodies interacting gravitationally. In this work, we approximate this process using a quantum dust fluid in one spatial dimension, described by the Schrödinger-Poisson equations. The temporal evolution of the system is calculated using B-splines within the Crank-Nicolson propagator implemented in a predictor-corrector scheme. We analyze different cosmological models and obtain the power spectrum of matter. For future improvements, we aim to reduce the calculation time and incorporate parameters that more accurately reproduce observational results.

Author

Mr Jeison Stiven Lenis Trujillo (Universidad del Valle)

Co-authors

Cesar A. Valenzuela-Toledo (Departamento de Física, Universidad del Valle) Guillermo Javier Madroñero Pabon (Universidad del Valle) JOHN BAYRON ORJUELA-QUINTANA (UNIVERSIDAD DEL VALLE)

Presentation materials

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