\batchmode
%
\documentclass[10pt,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 \( [J_{i},J_{j}]=i\hbar \epsilon _{ijk}J_{k} \)
}

{\newpage
\clearpage
\samepage \( [J^{2},J_{i}]=0 \)
}

{\newpage
\clearpage
\samepage \( [\overrightarrow{a}*\overrightarrow{J},\overrightarrow{b}*\overrightarrow{J}]=i\hbar (\overrightarrow{a}x\overrightarrow{b})*\overrightarrow{J} \)
}

{\newpage
\clearpage
\samepage \( J_{+}=J_{x}+iJ_{y} \)
}

{\newpage
\clearpage
\samepage \( J_{-}=J_{x}-iJ_{y}=J^{\dagger }_{+} \)
}

{\newpage
\clearpage
\samepage \( [J_{z},J_{+}]=\hbar J_{+} \)
}

{\newpage
\clearpage
\samepage \( [J_{z},J_{-}]=-\hbar J_{-} \)
}

{\newpage
\clearpage
\samepage \( [J_{+},J_{-}]=2\hbar J_{z} \)
}

{\newpage
\clearpage
\samepage \( J^{2}=\frac{1}{2}(J_{+}J_{-}+J_{-}J_{+})+J^{2}_{z} \)
}

{\newpage
\clearpage
\samepage \( J^{2},J_{z} \)
}

{\newpage
\clearpage
\samepage \( \Rightarrow J^{2}|lm>=l\hbar ^{2}|lm> \)
}

{\newpage
\clearpage
\samepage \( J_{z}|lm>=m\hbar |lm> \)
}

{\newpage
\clearpage
\samepage \( l\geq 0 \)
}

{\newpage
\clearpage
\samepage \( <p|J^{2}|p>=<p|\overrightarrow{J^{\dagger }}*\overrightarrow{J}|p> \)
}

{\newpage
\clearpage
\samepage \( l,m \)
}

{\newpage
\clearpage
\samepage \( <lm|J^{2}-J^{2}_{z}|lm>=l-m^{2}=<lm|J_{+}J_{+}^{\dagger }+J^{\dagger }_{+}J_{+}|lm>\Rightarrow l\geq m^{2} \)
}

{\newpage
\clearpage
\samepage \( J_{z}J_{+}|lm>=(J_{+}J_{z}+\hbar J_{+})|lm>=(m+1)\hbar J_{+}|lm> \)
}

{\newpage
\clearpage
\samepage \( J_{z}J_{-}|lm>=(m-1)\hbar J_{-}|lm> \)
}

{\newpage
\clearpage
\samepage \( J^{2}J_{\pm }|lm>=l\hbar ^{2}J\pm |lm> \)
}

{\newpage
\clearpage
\samepage \( \Rightarrow J_{\pm }|lm>=C_{lm\pm }\hbar ^{2}|lm\pm 1> \)
}

{\newpage
\clearpage
\samepage \( \exists j \)
}

{\newpage
\clearpage
\samepage \( J_{+}|lj>=0 \)
}

{\newpage
\clearpage
\samepage \( J_{-}J_{+}|lj>\Rightarrow l-j^{2}-j=0 \)
}

{\newpage
\clearpage
\samepage \( J_{+}J_{-}|j'm>\Rightarrow l-j'^{2}+j' \)
}

{\newpage
\clearpage
\samepage \( \Rightarrow m\in [-j,j] \)
}

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

{\newpage
\clearpage
\samepage \( \Rightarrow j=0,1/2,1,3/2,... \)
}

{\newpage
\clearpage
\samepage \( l=0,3/4,2,15/4 \)
}

{\newpage
\clearpage
\samepage \( Y_{lm} \)
}

{\newpage
\clearpage
\samepage \( <\overrightarrow{r}|lm>=Y_{lm}(\overrightarrow{r}) \)
}


\end{document}
