Avilez López, Ana AureliaMartínez Bravo, Oscar MarioAVILEZ LOPEZ, ANA AURELIA; 39127MARTINEZ BRAVO, OSCAR MARIO; 14469MUNIVE VILLA, ERICK2024-01-172024-01-172023-07https://hdl.handle.net/20.500.12371/19750“The main objective of this thesis is to study the dynamics of dark matter halos and the influence of the quantum pressure term on the formation of small-scale structures, specifically at galactic scales. Additionally, we aim to develop a routine that allows us to obtain solutions for the temporal evolution of the Gross-Pitaevskii-Poisson system in the Newtonian limit at astronomical scales using finite difference methods, which determines the evolution of dark matter in this model. To achieve this, we address two different models of dark matter halos: the cold dark matter model proposed in the framework of the ΛCDM standard model, and the ultra-light scalar field dark matter (SFDM) model. The thesis is divided into three main parts. Firstly, a detailed study of the ΛCDM standard model is conducted, which serves as a fiducial model to establish a reference for large-scale results. Subsequently, an exhaustive review of the SFDM model is carried out, which will serve as our small-scale test model to investigate the impact of the dynamics of this field in contrast to ΛCDM. In the final part of the thesis, we focus on the generation of initial conditions, which is divided into two main approaches”.pdfengCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRACosmologíaMateria oscura (Astronomía)Halos galacticos--InvestigaciónEcuaciones de Gross-PitaevskiiEcuación de SchrödingerTesis de doctoradoopenAccess