13–14 Nov 2025
Ciudad Universitaria Meléndez
America/Bogota timezone

OPTIMIZATION OF THE SCHRÖDINGER-POISSON MODEL USING B-SPLINES

13 Nov 2025, 15:55
25m
Ciudad Universitaria Meléndez

Ciudad Universitaria Meléndez

Universidad del Valle

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 Pabón (Universidad del Valle) JOHN BAYRON ORJUELA-QUINTANA (UNIVERSIDAD DEL VALLE)

Presentation materials