Understanding the Schrödinger Description of Ultra-Light Scalar Field Dark Matter

The mystery of Dark Matter has piqued the interest of many astronomers and physicists for decades. Despite that long history, most popular models of dark matter lack experimental verification. In recent years, the idea that dark matter is comprised of ultra-light scalar field(s) (ULSF) dark matter has gained attention. Simulating ULSF dark matter in a cosmological context has significant challenges, due to the vast difference in scales between mass of the field and the Hubble parameter. One solution to this problem is to convert the problem to a non-relativisitc one and evolve the system according to the Schrödinger equation. In this poster, we will discuss progress we have made toward understanding that translation and commenting on its validity as well as presenting results from simulating the Universe with plausible ULSF dark matter.