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% $BNL;RJ*M}3X(B : $B1i=,LdBj(B 8-1 $B2rEz(B
% $B:n(B  $B@.(B  $B<T(B : g140826 $B?eLn!!MNJe(B 
% $B:n@.G/7nF|(B : /01/12/25
% $BEE;R%a!<%k(B : g140826@mail.ecc.u-tokyo.ac.jp
%
% \mondai{$B:n@.<T(B}{$B:n@.G/7nF|(B}{$BEE;R%a!<%k(B}{$BLdBjHV9f(B}{$BLdBjJ8(B}{$B2rEz(B}
%
\mondai
{g140826 $B?eLn(B $BMNJe(B}
{01/12/25}
{g140826@mail.ecc.u-tokyo.ac.jp}
{8-1}
{2$B<!85$NL58B$K9b$$0f8M$NLdBj$N8GM-CM(B(8.14)$B$G!"(B$b=2a$$B$N$H$-$N%(%M%k%.!<8GM-CM$rDc$$J}$+$i(B5$B$D5a$a!"(B
$B$=$NNL;R?t$r(B$(n,\ell)$$B$N7A$G<($;!#$?$@$7!"=L=E$7$F$$$k$b$N$b(B1$B$D$H?t$(!"=L=EEY$b<($;!#(B}
{
(8.14)$B<0(B
\begin{equation}
E_{nl} = \frac{\hbar ^2\pi ^2}{2m}\left( {\frac{n^2}{a^2} + \frac{\ell^2}{b^2}} 
\right)
\end{equation}
$B$K(B$b = 2a$$B$rBeF~$9$k$H!"(B
\begin{equation}
E_{n\ell} = \frac{\hbar ^2\pi ^2}{2m}\left( {\frac{n^2}{a^2} + 
\frac{\ell^2}{\left( {2a} \right)^2}} \right) = \frac{\hbar ^2\pi ^2}{2m}\left( 
{\frac{4n^2 + \ell^2}{4a^2}} \right)
\end{equation}
$B$H$J$k$N$G!"(B
$4n^2 + \ell^2$$B$NCM$NBg>.$G!"%(%M%k%.!<8GM-CM$rI>2A$9$k$3$H$,$G$-$k!#(B
\noindent
n,$\ell$$B$O$=$l$>$l<+A3?t$G$"$k$3$H$KCm0U$7$D$D!"(B$4n^2 + \ell^2$$B$NCM$rD4$Y$F$$$/$H!"(B
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
n& 
$\ell$& 
$4n^2 + \ell^2$ \\
\hline
1& 
1& 
5 \\
\hline
1& 
2& 
8 \\
\hline
1& 
3& 
13 \\
\hline
1& 
4& 
20 \\
\hline
1& 
5& 
29 \\
\hline
2& 
1& 
17 \\
\hline
2& 
2& 
20 \\
\hline
2& 
3& 
25 \\
\hline
3& 
1& 
37 \\
\hline
\end{tabular}
\label{tab1}
\end{center}
\end{table}

$B0J>e$h$j!"%(%M%k%.!<8GM-CM$,Dc$$J}$+$i!"$=$NNL;R?t(B(n,$\ell$)$B$O!"(B
\begin{equation}
\mbox{(1,1),(1,2),(1,3),(2,1),(1,4)} = \mbox{(2,2)}
\end{equation}
$B$H$J$k!#$3$3$G!"=L=EEY$O(B$\mbox{(1,4)} = \mbox{(2,2)}$
$B$N$_#2$G$"$j!"$=$NB>$O#1$G$"$k!#(B
}
