Preview

Nonuniversal Effects in the Homogeneous Bose Gas

Powerful Essays
Open Document
Open Document
5082 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Nonuniversal Effects in the Homogeneous Bose Gas
\documentstyle[preprint,prc,aps,floats,epsf]{revtex}

\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

You May Also Find These Documents Helpful

  • Good Essays

    (b) The current wave mechanical model for the atom states that there are an integer number of wavelengths in every standing integer number (n).…

    • 1229 Words
    • 5 Pages
    Good Essays
  • Satisfactory Essays

    Blood and Edition Answer Key

    • 9679 Words
    • 39 Pages

    F 15. G, F 16. H, F Matching—The Atom 1. D 2. E 3.…

    • 9679 Words
    • 39 Pages
    Satisfactory Essays
  • Satisfactory Essays

    graph poop

    • 802 Words
    • 8 Pages

    The state of matter that exists only at extremely low temperatures is called a Bose-Einstein ____________________.…

    • 802 Words
    • 8 Pages
    Satisfactory Essays
  • Good Essays

    In order to further understand the relationship between temperature, radiation, and energy output we conducted a black body experiment in order to experimentally confirm the Stefan-Boltzmann constant.…

    • 530 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Instructor: Dr. Arnold Guerra III, aguerra@occ.cccd.edu, tel. (714) 432-0202 ext. 21282. http://boltzmann.eng.uci.edu/~aguerra/ Course website: http://www.occ.cccd.edu/online/aguerra/ Lecture: Tuesdays & Thursdays: 9:35 – 11:40 AM, Math Wing Building, Room 149. Laboratory: You must be enrolled in one of two the laboratory sections: Tuesdays, 12:00 – 2:05 PM, Lewis Building, Room 208. Thursdays, 12:00 – 2:05 PM, Lewis Building, Room 208. Office Hours: Tuesdays & Thursdays 3:00 – 4:30 PM, or by appointment. (Lewis, Room 203). Textbook: There is one required textbook: (1) Physics, 9th Edition, Volume II, by John Cutnell & Kenneth Johnson (John Wiley & Sons, Inc Publishers, 2012), packaged…

    • 775 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    Heinemann Physics Content and Contexts Units 3A and 3B ISBN 978 1 4425 1140 8 Page 4 of 69…

    • 5177 Words
    • 21 Pages
    Powerful Essays
  • Good Essays

    Hsc Physics Topics

    • 4679 Words
    • 19 Pages

    INTO THE NUCLEUS 4. APPLICATIONS OF NUCLEAR PHYSICS ... all in the context of the history, nature and practice of Physics. 1. RUTHERFORD & BOHR MODELS OF THE ATOM…

    • 4679 Words
    • 19 Pages
    Good Essays
  • Satisfactory Essays

    Physics Absolute Zero

    • 483 Words
    • 2 Pages

    3 Visit the following URL: New State of Matter Seen Near Absolute Zero . What is a Bose-Einstein condensate?…

    • 483 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Initially, physics was a term used to describe the study of matter and its motion through space and time, occasionally including energy and force. However, in 1900 Max Planck a German Physicist presented the beginning of his Quantum Theory. Since this time studies have commenced on the nature and behaviour of matter and energy on the atomic and sub atomic level. While it is highly unlikely to see these natures directly without scientific equipment, the effects and changes that occur are known as a paradigm shift and can be acknowledged in everyday life. One example of this is the subatomic structure in relation to light.…

    • 365 Words
    • 2 Pages
    Good Essays
  • Good Essays

    of conflicting requirements and preferences. We develop an approach to scheduling problems that uses a combination of integer…

    • 5531 Words
    • 23 Pages
    Good Essays
  • Good Essays

    States Of Matter

    • 1068 Words
    • 5 Pages

    4. Switch between this document and the simulation “States of Matter: Basics” to complete this activity.…

    • 1068 Words
    • 5 Pages
    Good Essays
  • Powerful Essays

    2. Q is for Quantum: an encyclopedia of particle physics, John Gribbin. Free press, London, 1998. 680 pages.…

    • 1452 Words
    • 6 Pages
    Powerful Essays
  • Better Essays

    gasses

    • 3246 Words
    • 13 Pages

    As most gases are difficult to observe directly, they are described through the use of four physical properties or macroscopic characteristics: pressure, volume, number of particles (chemists group them by moles) and temperature. These four characteristics were repeatedly observed by scientists such as Robert Boyle, Jacques Charles, John Dalton, Joseph Gay-Lussac and Amedeo Avogadro for a variety of gases in various settings. Their detailed studies ultimately led to a mathematical relationship among these properties expressed by the…

    • 3246 Words
    • 13 Pages
    Better Essays
  • Satisfactory Essays

    * Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.…

    • 505 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Black Body Radiation

    • 304 Words
    • 2 Pages

    Einstein used his statistical mechanics to demonstrate that when light interacts with matter, Planck's entire formula can arise only from the existence of light quanta—not from waves.…

    • 304 Words
    • 2 Pages
    Satisfactory Essays