%%% ======================================================================
%%%  @LaTeX-style-file{
%%%     filename        = "version2.sty",
%%%     version         = "3.0",
%%%     date            = "September 17, 1992",
%%%     ISO-date        = "1992.09.17",
%%%     time            = "15:41:54.18 EDT",
%%%     author          = "American Physical Society",
%%%     contact         = "Christopher B. Hamlin",
%%%     address         = "APS Publications Liaison Office
%%%                        500 Sunnyside Blvd.
%%%                        Woodbury, NY 11797",
%%%     telephone       = "(516) 576-2390",
%%%     FAX             = "(516) 349-7817",
%%%     email           = "mis@aps.org (Internet)",
%%%     supported       = "yes",
%%%     archived        = "pinet.aip.org/pub/revtex,
%%%                        Niord.SHSU.edu:[FILESERV.REVTEX]",
%%%     keywords        = "REVTeX, version 3.0, use of version 2.x files,
%%%                        American Physical Society",
%%%     codetable       = "ISO/ASCII",
%%%     checksum        = "18799 178 400 5158",
%%%     docstring       = "This is the style file for running v2.x REVTeX
%%%                        files in v3.0 for the American Physical Society
%%%                        under REVTeX 3.0 (release of November 10, 1992).
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility."
%%% }
%%% ======================================================================
% ****** Start of file version2.sty ******
%
%
%   This file is part of the APS files in the REVTeX 3.0 distribution.
%   Version 3.0 of REVTeX, November 10, 1992.
%
%   Copyright (c) 1992 The American Physical Society.
%
%   See the REVTeX 3.0 README file for restrictions and more information.
%
\typeout{Filename: version2.sty, v3.0 <17 September 1992>}

\long\def\tablenotes#1{{\vskip0.28pt \small#1}}

\def\tightenlines{\edef\baselinestretch{1}\small\normalsize}

\def\preprint#1{%
\ifpreprintsty{\vskip -.25in\hfill\hfil#1\vskip 10pt}\fi}

\def\title{%
\bgroup%
\def\\{\par}\everypar{\hskip\parfillskip\relax}%
\large %
\parindent0pt%
\vrule height1cm width0pt\ignorespaces}

\def\endtitle{\vskip1sp\egroup }

\def\author#1{%
\hbox to\textwidth{%
\hss%
\vbox{%
\let\cite\@bylinecite\let\onlinecite\@bylinecite
\let\citenum\@bylinecite
\vskip24pt\hsize=.7\hsize
\let\\=\@centercr
\hyphenpenalty=10000
\spaceskip=.3333em \xspaceskip=.5em
\@rightskip 0pt plus 1filll \rightskip \@rightskip
\leftskip\rightskip \parindent \z@
#1\vskip1sp%
}%
\hss%
}%
}

\let\moreauthors=\author

\def\instit{%
\bgroup\small\it
\everypar{\hskip\parfillskip\ignorespaces}\def\\{\par}%
\let\cite\@bylinecite\let\onlinecite\@bylinecite
\let\citenum\@bylinecite \parindent0pt} %

\def\endinstit{\vskip1sp\egroup }

\def\receipt#1{\hbox to\textwidth{\small\hss(Received #1)\hss}}

\def\abstract{%
{\ifpreprintsty\else\textwidth20.5pc\fi\@thanks}\gdef\@thanks{}%
\gdef\thefootnote{\arabic{footnote}}
\ifpreprintsty\vskip3pc\fi
\bgroup%
\vskip1sp%
\dimen0\textwidth\advance\dimen0by-5.56in\divide\dimen0by2%
\leftskip\dimen0\rightskip\leftskip%
\small\vrule width 0pt height .6cm%
\leavevmode\ignorespaces%
}

\def\endabstract{%
\par\egroup%
\ifpreprintsty\vskip2pc\fi
\vskip4pc\global\everypar={\global\pacsonfalse\global\everypar={}}%
\global\pacsontrue\nointerlineskip
}

\newif\ifdraft
\newif\ifpacson

\def\draft{\global\drafttrue}

\def\pacs#1{%
\vtop to0pt{%
\vskip-4pc\vskip.5\baselineskip\small
\dimen0\textwidth \advance\dimen0 by-5.56in \divide\dimen0 by2
\leftskip\dimen0 \rightskip\leftskip \noindent \ifdraft#1\fi
\par
\global\everypar={\global\pacsonfalse\global\everypar={}}%
\global\pacsontrue
\vss
}
\nointerlineskip\vskip1sp%
\ifpreprintsty%
{\vfill\hskip -.5in Typeset Using {\em REVTEX}\newpage}%
\fi%
\global\pacsontrue%
}

\let\@newversionfigure\figure     \let\end@newversionfigure\endfigure
\def\figure#1{%
\begin{@newversionfigure}
\caption{#1}
\end{@newversionfigure}
}

\def\appendix{%
\global\appendixontrue
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\def\thesection{\Alph{section}}
\def\thesubsection{\arabic{subsection}}
\def\thesubsubsection{\alph{subsubsection}}
\def\theequation@prefix{\thesection}
\@addtoreset{equation}{section}
\let\appendix\section
\def\unletteredappendix{\section*}
\section
}

\def\unletteredappendix{%
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\def\thesection{\Alph{section}}
\def\thesubsection{\arabic{subsection}}
\def\thesubsubsection{\alph{subsubsection}}
\def\theequation@prefix{\thesection}
\@addtoreset{equation}{section}
\let\appendix\section
\def\unletteredappendix{\section*}
\section*%
}

\def\nonum#1{#1*}

\def\addcontentsline#1#2#3{}

\def\Sinmath{\mathchar"278\relax}
\def\Pinmath{\mathchar"27B\relax}

%
% ****** End of file version2.sty ******