\batchmode
%
\documentclass[12pt,letterpaper,oneside,onecolumn]{article}
\makeatletter
\usepackage[]{fontenc}
\usepackage[dvips]{epsfig}


\makeatletter












\makeatother


\pagestyle{plain}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}

\def\LyX{L\kern-.1667em\lower.25em\hbox{Y}\kern-.125emX\spacefactor1000}

\newcommand {\lyxtitle}[1] {\thispagestyle{empty}
\global\@topnum\z@
\section*{\LARGE \centering \sffamily \bfseries \protect#1 }
}

\newcommand {\lyxline}[1]{
{#1 \vspace{1ex} \hrule width \columnwidth \vspace{1ex}}
}

\newenvironment {lyxbibliography}
{
\begin{thebibliography}{99}}
{\end{thebibliography}}

\def\lxq{"}

\newenvironment {lyxcode}
{\list{}{
\rightmargin\leftmargin
\raggedright
\itemsep 0pt
\parsep 0pt
\ttfamily
}\item[]
}
{\endlist}

\newcommand {\lyxlabel}[1]{#1 \hfill}

\newenvironment {lyxlist}[1]
{\begin{list}{}
{\settowidth{\labelwidth}{#1}
\setlength{\leftmargin}{\labelwidth}
\addtolength{\leftmargin}{\labelsep}
\renewcommand  {\makelabel}{\lyxlabel}}}
{\end{list}}

\newcommand {\lyxletterstyle}{
\setlength\parskip{0.7em}
\setlength\parindent{0pt}
}

\newcommand {\lyxaddress}[1]{
\par {\raggedright #1 
\vspace{1.4em}
\noindent\par}
}

\newcommand {\lyxrightaddress}[1]{
\par {\raggedleft \begin{tabular}{l}\ignorespaces
#1
\end{tabular}
\vspace{1.4em}
\par}
}

\newcommand {\lyxformula}[1]{
\begin{eqnarray*}
#1
\end{eqnarray*}
}

\newcommand {\lyxnumberedformula}[1]{
\begin{eqnarray}
#1
\end{eqnarray}
}

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}
{\newpage
\clearpage
\samepage \( H_{0}=0\in [0,L] \)
}

{\newpage
\clearpage
\samepage \( H_{0}=\infty \in (-\infty ,0)or(L,\infty ) \)
}

{\newpage
\clearpage
\samepage \( H_{1}=\beta xy \)
}

{\newpage
\clearpage
\samepage \( H_{0} \)
}

{\newpage
\clearpage
\samepage \( \psi _{n_{x}n_{y}}(x,y)=\frac{2}{L}sin(n_{x}\frac{\pi x}{L})sin(n_{y}\frac{\pi y}{L}) \)
}

{\newpage
\clearpage
\samepage \( n_{i}\in [1,\infty ) \)
}

{\newpage
\clearpage
\samepage \( E_{n_{x}n_{y}}^{(0)}=\frac{\pi ^{2}}{2mL^{2}}(n_{x}^{2}+n_{y}^{2}) \)
}

{\newpage
\clearpage
\samepage \( E_{11}=\frac{\pi ^{2}}{ml^{2}} \)
}

{\newpage
\clearpage
\samepage \( E_{12}=E_{21}=\frac{5\pi ^{2}}{2mL^{2}} \)
}

{\newpage
\clearpage
\samepage \( \triangle _{11}^{(1)}=<11|H_{1}|11>=\beta <11|xy|11>=\frac{\beta 4}{L^{2}}\int dx\int dy=\frac{1}{4}\beta L^{2} \)
}

{\newpage
\clearpage
\samepage \( H_{0}^{'}=H_{0}+PH_{1}P=\begin{array}{cc}
E_{12}+<12|H_{1}|12> & <12|H_{1}|21>\\ 
<21|H_{1}|12> & E_{21}+<21|H_{1}|21>
\end{array}
 \)
}

{\newpage
\clearpage
\samepage \( <12|H_{1}|12>=<21|H|21>=(\alpha =\frac{1}{4})\beta L^{2} \)
}

{\newpage
\clearpage
\samepage \( <12|H_{1}|21>=<21|H|12>=(\gamma =\frac{32}{9\pi ^{2}})\beta L^{2} \)
}

{\newpage
\clearpage
\samepage \( \lambda =E_{12}+\alpha \beta L^{2}\pm \gamma \beta L^{2} \)
}

{\newpage
\clearpage
\samepage \( \frac{1}{\sqrt{2}}(|12>\pm |21>) \)
}

{\newpage
\clearpage
\samepage \( \frac{1}{\sqrt{2}}(|a>\pm |b>) \)
}

{\newpage
\clearpage
\samepage \( e^{\pm ipx/\hbar } \)
}

{\newpage
\clearpage
\samepage \( sin(px/\hbar ) \)
}

{\newpage
\clearpage
\samepage \( cos(px/\hbar ) \)
}


\end{document}
