\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 \( (H_{0}+H_{1})|n>=(E_{n}^{(0)}+\triangle n)|n> \)
}

{\newpage
\clearpage
\samepage \( <n^{(0)}| \)
}

{\newpage
\clearpage
\samepage \( \triangle n=\frac{<n^{(0)}|H_{1}|n>}{<n^{(0)}|n>} \)
}

{\newpage
\clearpage
\samepage \( |n> \)
}

{\newpage
\clearpage
\samepage \( O(H_{1}^{p}) \)
}

{\newpage
\clearpage
\samepage \( \triangle n \)
}

{\newpage
\clearpage
\samepage \( O(H_{1}^{p+1}) \)
}

{\newpage
\clearpage
\samepage \( (H_{0}-E_{n}^{(0)})|n>=(\triangle n-H_{1})|n>=V|n> \)
}

{\newpage
\clearpage
\samepage \( |n>=|n^{(0)}>+\sum _{p\neq n}|p^{(0)}><p^{(0)}|\frac{V}{H_{0}-E_{n}^{(0)}}|n> \)
}

{\newpage
\clearpage
\samepage \( Q=|p^{(0)}><p^{(0)}| \)
}

{\newpage
\clearpage
\samepage \( |n>=|n^{(0)}>+\frac{Q}{H_{0}-E_{n}^{(0)}}V|n> \)
}

{\newpage
\clearpage
\samepage \( [Q,H_{0}]=0 \)
}

{\newpage
\clearpage
\samepage \( Q^{2}=Q \)
}

{\newpage
\clearpage
\samepage \( Q|n^{(0)}>=0 \)
}

{\newpage
\clearpage
\samepage \( Q^{\dagger }=Q \)
}

{\newpage
\clearpage
\samepage \( <n^{(0)}|n>=1 \)
}

{\newpage
\clearpage
\samepage \( e=H_{0}-E_{n}^{(0)} \)
}

{\newpage
\clearpage
\samepage \( |n>=|n^{(0)}>+\frac{Q}{e}V|n>= \)
}

{\newpage
\clearpage
\samepage \( |n^{(0)}>+\frac{Q}{e}V|n^{(0)}>+\frac{QV}{e}\frac{QV}{e}|n^{(0)}>+...=\frac{1}{1-\frac{QV}{e}}|n^{(0)}> \)
}

{\newpage
\clearpage
\samepage \( \triangle n=<n^{(0)}|H_{1}\frac{1}{1-\frac{Q}{e}V}|n^{(0)}> \)
}

{\newpage
\clearpage
\samepage \( \triangle n^{(0)}=0 \)
}

{\newpage
\clearpage
\samepage \( |n^{(0)}>=|n^{(0)}> \)
}

{\newpage
\clearpage
\samepage \( \triangle n^{(1)}=<n^{(0)}|H_{1}|n^{(0)}> \)
}

{\newpage
\clearpage
\samepage \( |n^{(1)}>=|n^{(0)}>+\frac{Q}{e}V|n^{(0)}> \)
}

{\newpage
\clearpage
\samepage \( = \)
}

{\newpage
\clearpage
\samepage \( |n^{(1)}>=|n^{(0)}>-\frac{\sum _{p}|p^{(0)}><p^{0}|H_{1}|n^{0}>}{E_{p}^{(0)}-E_{n}^{(0)}} \)
}

{\newpage
\clearpage
\samepage \( \triangle n^{(2)}=<n^{(0)}|H_{1}|n^{(1)}> \)
}

{\newpage
\clearpage
\samepage \( =<n^{(0)}|H_{1}|n^{(0)}>-\sum _{p\neq n}\frac{|H_{1_{np}}|^{2}}{E_{p}^{(0)}-E_{n}^{(0)}} \)
}

{\newpage
\clearpage
\samepage \( |n^{(2)}>=|n^{(0)}>+\frac{Q}{e}H_{1}|n^{(0)}>+\frac{Q}{e}H_{1}\frac{Q}{e}H_{1}|n^{(0)}> \)
}

{\newpage
\clearpage
\samepage \( -\triangle n^{(1)}\frac{Q^{2}}{e^{2}}H_{1}|n^{(0)}> \)
}

{\newpage
\clearpage
\samepage \( |n^{(p)}>=|n^{(0)}>+\frac{Q}{e}V|n^{(p-1)}> \)
}

{\newpage
\clearpage
\samepage \( \triangle n^{(p)}=<n^{(0)}|H^{1}|n^{p-1}> \)
}


\end{document}
