% <PLAINTEXT>
% $BNL;RJ*M}3X(B $B!'(B $B1i=,LdBj(B 7-1 $B2rEz(B
% $B:n(B  $B@.(B  $B<T(B $B!'(B f9311196 $B?e8M(B $BOB9,(B
% $B:n@.G/7nF|(B $B!'(B /96/02/20
% $BEE;R%a!<%k(B $B!'(B f11196@ced.cas.uec.ac.jp
%
\mondai
{f9311196 $B?e8M(B $BOB9,(B}
{96/02/20}
{f11196@ced.cas.uec.ac.jp}
{7-1}
{
%----$BLdBjJ8(B----%
$ (7.13) $ $B!"(B$ (7.10) $ $B$N<0$N$=$l$>$l$NF)2a3NN((B $ T $ $B$NI=<0$rJQ7A$7$F!"(B
$ \alpha = 2ma^{2}V_{0} / \hbar^{2} $ $B$rMQ$$$F<($;!#(B\\
}
{
%----$B2rEzJ8(B---%
$ (7.13) $ $B<0$K$D$$$F9M$($k!#(B$ E < V_{0} $ $B$N$H$-!"(B
$ (7.2) $ $B<0$H!"(B$ (7.3) $ $B<0$h$j!"<!$N4X78<0$,F@$i$l$k!#(B\\
\begin{equation}
 \displaystyle \frac{k^{2}}{\kappa^{2}} = \frac{E}{V_{0}-E} \label{eq:7-1-1} 
\end{equation}
$B$3$3$G!"(B$ \displaystyle \frac{E}{V_{0}} = x $ $B$HCV$/$H!"(B$ (7-1-1) $$B<0$O!"(B\\
\begin{equation}
 \displaystyle \frac{k^{2}}{\kappa^{2}} = \frac{x}{1-x} \hspace{5mm} (x < 1)
\end{equation}
$B$H$J$k!#$3$l$h$j!"(B\\
\begin{equation}
 \kappa a = \sqrt{\alpha (1-x)}
\end{equation}
$B$,F@$i$l$k!#$f$($K!"(B $BH?<M78?t(B $ T $ $B$O!"(B \\
\begin{equation} 
\begin{array}{lcl}
 \displaystyle |Q|^{2}
& = & \displaystyle 4 \left( 1+ \frac{x}{1-x} \right)^{2}
      \sinh^{2} \sqrt{\alpha (1-x)}+ \frac{16x}{1-x} \\
& = & \displaystyle \frac{4}{(1-x)^{2}} \left\{\sinh^{2} \sqrt{\alpha(1-x)}
      + 4x(1-x) \right\}  
 
\end{array}
\end{equation}
$B$h$j!"(B\\
\begin{equation}
\begin{array}{lcl}
 \displaystyle T
& = & \displaystyle \frac{1}{|Q|^{2}}\frac{16x}{1-x} \\
& = & \displaystyle \frac{4x(1-x)}{\sinh^{2} \sqrt{\alpha(1-x)}
      + 4x(1-x)} 
\end{array} 
\end{equation}
\\
$B$H$J$k!#F1$8$/!"(B $ (7.19) $ $B<0$K$D$$$F9M$($k!#(B$ E > V_{0} $ $B$N$H$-!"(B
$ (7.2) $ $B<0$H!"(B$ (7.16) $ $B<0$h$j!"<!$N4X78<0$,F@$i$l$k!#(B\\
\begin{equation}
 \displaystyle \frac{k^{2}}{q^{2}} = \frac{E}{V_{0}-E} \label{eq:7-1-6} 
\end{equation}
$B$3$3$G!"(B$ \displaystyle \frac{E}{V_{0}} = x $ $B$HCV$/$H!"(B$ (7-1-6) $$B<0$O!"(B\\
\begin{equation}
 \displaystyle \frac{k^{2}}{q^{2}} = \frac{x}{x-1} \hspace{5mm} (x > 1)
\end{equation}
$B$H$J$k!#$3$l$h$j!"(B\\
\begin{equation}
 qa = \sqrt{\alpha (x-1)}
\end{equation}
$B$,F@$i$l$k!#$f$($K!"(B $BH?<M78?t(B $ T $ $B$O!"(B \\
\begin{equation} 
\begin{array}{lcl}
 \displaystyle |Q|^{2}
& = & \displaystyle 4 \left( 1+ \frac{x}{x-1} \right)^{2}
      \sin^{2} \sqrt{\alpha (x-1)}+ \frac{16x}{x-1} \\
& = & \displaystyle \frac{4}{(x-1)^{2}} \left\{\sin^{2} \sqrt{\alpha(x-1)}
      + 4x(x-1) \right\}  
\end{array}
\end{equation}
$B$h$j!"(B\\
\begin{equation}
\begin{array}{lcl}
 \displaystyle T
& = & \displaystyle \frac{1}{|Q|^{2}}\frac{16x}{x-1} \\
& = & \displaystyle \frac{4x(x-1)}{\sin^{2} \sqrt{\alpha(x-1)}
      + 4x(x-1)} 
\end{array} 
\end{equation}
$B$H$J$k!#(B\\
}
