%<PLAINTEXT>
% 
% $BNL;RJ*M}3X(B : $B1i=,LdBj(B 2-6 $B2rEz(B
% $B:n(B  $B@.(B  $B<T(B : t9410107 $B9b66(B $B0l98(B
% $B=$(B  $B@5(B  $B<T(B : g140828 $BIp@n(B $B=c(B 
% $B:n@.G/7nF|(B : /95/12/11
% $B=$@5G/7nF|(B : /01/12/01
% $BEE;R%a!<%k(B : t9410107@edu.uec.ac.jp
% $B=$@5<TEE;R%a!<%k(B : g140828@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
{t9410107 $B9b66(B $B0l98(B}
{95/12/11}
{t9410107@edu.uec.ac.jp}
{2-6}
{$BEE;RGH$N6&LD$GF@$i$l$?=`0L$G!"(B$n=2$$B$+$i(B$n=1$$B$NH/8w$,2DG=$J(B
$B>l9g!"H/8w$9$k8w$,@D?'(B($\lambda=0.45 \mu {\rm m}$)$B$K$J$k$?$a(B
$B$K$O!"(B$L$$B$NCM$r2?(B{\rm \AA}$B$K$9$l$PNI$$$+(B?
}
{(2.9)$B<0$h$j(B
\begin{equation}
E=\frac{h^2}{8mL^2}n^2(n=1,2,\cdots)
\end{equation}
($B$?$@$7(B$h$$B$O%W%i%s%/Dj?t$G(B$h=6.626076 \times 10^{-34}{\rm
Js}$$B!"(B$m$$B$OEE;R$N<ANL$G(B$m=9.109390 \times 10^{-31}{\rm kg}$)
$B$J$N$G!"(B$n=2$$B$H(B$n=1$$B$N=`0L$GF@$i$l$k%(%M%k%.!<:9$O(B
\begin{equation}
E=\frac{h^2}{8mL^2}(2^2-1^2)=\frac{3h^2}{8mL^2}
\end{equation}
$B$^$?(B(1.3)$B!"(B(1.4)$B<0$h$j(B
\begin{equation}
E=h \nu = h \frac{c}{\lambda}=\frac{3h^2}{8mL^2}
\end{equation}
($B$?$@$7(B$c$$B$O8w$NB.EY$G(B$c=2.997925 \times 10^8{\rm m/s}$)
$B$h$C$F(B
\begin{equation}
L=\sqrt{\frac{3h \lambda}{8cm}}=\sqrt{\frac{3 \times 6.626076
\times 10^{-34}\times 0.45 \times 10^{-6}}{8 \times 2.997925 \times
10^8 \times 9.109390 \times 10^{-31}}}=6.40{\rm \AA}
\end{equation}
$B$,F@$i$l$k!#(B
}
