Document Type
Poster
Publication Date
Summer 2023
Abstract
Dark matter comprises almost all of the matter in the Universe; however, its nature is unknown. One candidate, axion-like scalar fields, are difficult to numerically simulate. One possible method of simulation, using the Schrödinger equation, is more computationally efficient than the Klein-Gordon equation, but is also a less accurate simulation of the behavior of Scalar fields. We tested the Schrödinger Approximation by running two simulations in parallel: one using the Klein-Gordon equation, and the other using theSchrödinger approximation, both having identical initial conditions. We show that there are great differences between the Klein-Gordon and Schrödinger simulations, potentially indicating that the Schrodinger Approximation is not a viable approximation.
Recommended Citation
Blum, Adam; Phillips, Wyatt; and Giblin, Tom, "Testing the Schrodinger Approximation for Nonlinear Cosmology Models" (2023). Kenyon Summer Science Scholars Program. Paper 611.
https://digital.kenyon.edu/summerscienceprogram/611