\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 \( H_{0}=\frac{p^{2}}{2\mu }-\frac{Ze^{2}}{r} \)
}

{\newpage
\clearpage
\samepage \( \mu =\frac{m_{e}m_{p}}{m_{e}+m_{p}} \)
}

{\newpage
\clearpage
\samepage \( <r^{i},\sigma |nlm_{l}m_{s}>=R_{nl}(r)Y_{lm_{l}}\delta _{\sigma m_{s}} \)
}

{\newpage
\clearpage
\samepage \( R_{nl}(r)=\frac{1}{a^{\frac{3}{2}}}f_{nl}(\frac{r}{a}) \)
}

{\newpage
\clearpage
\samepage \( \int Y_{lm}^{*}Y_{l'm'}=\delta _{ll'}\delta _{mm'} \)
}

{\newpage
\clearpage
\samepage \( \int r^{2}drR_{nl}R_{n'l'}=\delta _{nn'} \)
}

{\newpage
\clearpage
\samepage \( E_{n}^{(0)}=\frac{-Z^{2}}{n^{2}}R_{y} \)
}

{\newpage
\clearpage
\samepage \( R_{y}=\frac{\mu e^{4}}{2\hbar ^{2}} \)
}

{\newpage
\clearpage
\samepage \( \frac{v}{c}\sim \alpha  \)
}

{\newpage
\clearpage
\samepage \( \sqrt{(\mu c^{2})^{2}+(pc)^{2}}-\mu c^{2}=\frac{p^{2}}{2\mu }-\frac{1}{2\mu c^{2}}(\frac{p^{2}}{2\mu })^{2}+higherorder. \)
}

{\newpage
\clearpage
\samepage \( Z^{2}\alpha ^{2} \)
}

{\newpage
\clearpage
\samepage \( H_{LS}=\frac{1}{2}(\frac{\hbar }{\mu c})^{2}(\frac{1}{r}\frac{\partial V}{\partial r})\frac{L^{i}S^{i}}{\hbar ^{2}} \)
}

{\newpage
\clearpage
\samepage \( =2Z(\frac{\hbar e}{2\mu c})^{2}\frac{1}{r^{3}}\frac{L^{i}S^{i}}{\hbar ^{2}} \)
}

{\newpage
\clearpage
\samepage \( H_{D}=\frac{\hbar ^{2}}{8\mu ^{2}c^{2}}\nabla ^{i}\nabla ^{i}V(r)=Z\frac{\hbar ^{2}e^{2}}{8\mu ^{2}c^{2}}4\pi \delta (r) \)
}

{\newpage
\clearpage
\samepage \( |nljm_{j}>=\sum _{m_{l}m_{j}}|nlsm_{l}m_{s}><l\frac{1}{2}m_{l}m_{s}|jm_{j}> \)
}

{\newpage
\clearpage
\samepage \( \Psi _{nljm_{m}}=R_{nl}Y_{jlm_{j}} \)
}

{\newpage
\clearpage
\samepage \( \triangle E=\frac{-1}{2\mu c^{2}}<jm_{J}|(\frac{p^{2}}{2\mu })^{2}|jm_{j}> \)
}

{\newpage
\clearpage
\samepage \( =\frac{-1}{2\mu c^{2}}<jm_{J}|(E_{n}+\frac{Ze^{2}}{r})^{2}|jm_{j}> \)
}

{\newpage
\clearpage
\samepage \( =\frac{-1}{2\mu c^{2}}[E_{n}^{2}+2E_{n}Ze^{2}<\frac{1}{r}>+Z^{2}e^{4}<\frac{1}{r^{2}}>] \)
}

{\newpage
\clearpage
\samepage \( =\frac{-1}{2\mu c^{2}}[E_{n}^{2}+2E_{n}Ze^{2}\frac{1}{n^{2}a_{0}}+Z^{2}e^{4}\frac{1}{(2l+1)n^{3}a_{0}^{2}}] \)
}

{\newpage
\clearpage
\samepage \( =-|E_{n}|\frac{Z^{2}\alpha ^{2}}{n^{2}}(\frac{2n}{2l+1}-\frac{3}{4}) \)
}

{\newpage
\clearpage
\samepage \( \triangle E=<H_{LS}>=\frac{Z}{4}(\frac{\hbar e}{\mu c})^{2}(j(j+1)-l(l+1)-\frac{3}{4})\frac{2}{l(l+1)(2l+1)n^{3}a^{3}} \)
}

{\newpage
\clearpage
\samepage \( |E_{n}|\frac{Z^{2}\alpha ^{2}}{n^{2}}\begin{array}{cc}
\frac{-n}{(2j+1)(j+1)} & j=l-\frac{1}{2}\\ 
\frac{n}{j(2j+1)} & j=l+\frac{1}{2}
\end{array}
 \)
}

{\newpage
\clearpage
\samepage \( \triangle E_{D}=|E_{n}|\frac{Z^{2}\alpha ^{2}}{4n}\delta _{l0} \)
}

{\newpage
\clearpage
\samepage \( \triangle E_{tot}=|E_{n}|[1+\frac{Z^{2}\alpha ^{2}}{n^{2}}(\frac{n}{j+\frac{1}{2}}-\frac{3}{4})] \)
}

{\newpage
\clearpage
\samepage \( 2p_{\frac{3}{2}} \)
}

{\newpage
\clearpage
\samepage \( 2s_{\frac{1}{2}},2p_{\frac{1}{2}} \)
}

{\newpage
\clearpage
\samepage \( 5*10^{-5}eV \)
}


\end{document}
