\begin{document}
\title{Nonuniversal Effects in the Homogeneous Bose Gas}
\author{Shawn Hermans}
\address{Saint John's University, Collegeville, MN 56321}
%Professor Eric Braaten\thanks{{\tt The Ohio State University}}
%Professor Thomas Kirkman\thanks{{\tt Saint John's University}} \author{Advisor: Professor Eric Braaten}
\address{The Ohio State University, Columbus, OH 43210}
\maketitle
\begin{abstract}
In 1924 Albert Einstein predicted the existence of a special type of matter now known as Bose-Einstein condensation. However, it was not until 1995 that simple BEC (Bose-Einstein condensation) was observed in a low-density Bosonic gas. This recent experimental breakthrough has led to renewed theoretical interest in BEC. The focus of my research is to more accurately determine basic properties of homogeneous Bose gases. In particular nonuniversal effects of the energy density and condensate fraction will be explored. The validity of the theoretical predictions obtained is verified by comparison to numerical data from the paper \begin{it}Ground State of a Homogeneous Bose Gas: A Diffusion Monte Carlo Calculation \end{it} by Giorgini, Boronat, and Casulleras.
\end{abstract}
%\dedicate{To my parents for their supporting me through college,
%to God for all the mysteries of physics, and to Jammie for her
%unconditional love.}
%\newpage
%\tableofcontents
\newpage
\section{Introduction}
The Bose-Einstein condensation of trapped atoms allows the experimental study of Bose gases with high precision. It is well known that the dominant effects of interactions between the atoms can be characterized by a single number $a$ called the S-wave scattering length. This property is known as \begin{it}universality\end{it}. Increasingly accurate measurements will show deviations from universality. These effects are due to sensitivity to aspects of the interatomic