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% $BNL;RJ*M}3X(B : $B1i=,LdBj(B 10-1 $B2rEz(B
% $B:n!!@.!!<T(B : 250517D $BLyK\!!Bg5*(B
% $B:n@.G/7nF|(B : /02/1/4
% $BEE;R%a!<%k(B : g250517@mail.ecc.u-tokyo.ac.jp
%
% \mondai{$BLdBjHV9f(B}{$BLdBjJ8(B}{$B2rEz(B}{$B:n@.<T(B}{$BEE;R%a!<%k(B}{$B:n@.G/7nF|(B}
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\mondai
{10-1}
{$BC:AG86;R#28D$N%/%i%9%?!<(B$C_{2}$$B$N(B$2s$,$2p_{x}$,$2p_{y}$,$2p_{z}$,$B$G$D$/(B
$B$k=E$J$j9TNs$N0lHVL\$HFsHVL\$NC:AG86;R$N4V$N>.9TNs@.J,(B$s_{12}$$B$rI=$;!#(B}
$BEz$((B:$BC:AG86;R$NEE;RG[CV$O(B$(1s)^{2}(2s)^{2}(2p)^{2}$$B$@$+$i(B$C_{2}$ $B$NAmEE(B
$B;R?t$O(B12$B8D$G$"$k!#0l86;R$N50F;$O(B$1s$,$2s$$B$,3F0l8D(B,$2p$$B$,;08D(B$$B!J(B2p_{x},
2p_{y},2p_{z}$B!K(B$$B$G$"$k!#$h$C$F!"Fs86;R$G7W(B10$B50F;$G$"$k!#(B
$C_{2}$$B$N(B1s$B50F;$KEE;R$O(B4$B8DF~$k$+$i(B$12-4=8$Q$B8D$NEE;R$,(B2s,2p$B50F;$KF~$k$N(B
$B$G!"(B$8$B!_(B8$$B$N9TNs$G(B$S_{ij}$$B$OI=$5$l$k!#(B
$BF1$886;R$G$N@QJ,$O(B$4$B!_(B4$$B$N>.9TNs(B$s_{ii}$$B$GI=$5$l$k!#HsBP3Q9`$O86;R$N50F;(B
$B$,D>8r$7$F$$$k$N$G(B0,$BBP3Q9`$ONc$($P(B
\begin{equation}
2s$B!_(B2s=<\phi|\phi>=1
\end{equation}
$B$N$h$&$K$J$k$+$i(B\\
\begin{equation}s_{11}=s_{22}=\left(
\begin{array}{cccc}
1 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 \\
0 & 0 & 0 & 1
\end{array}
\right)
\end{equation}
$B$H$J$k!#(B
$C_{1}$$B$H(B$C_{2}$$B$H$N@QJ,$O(B$S_{ij}$$B$NA4BN$,(B$8$B!_(B8$$B$N%(%k%_!<%H9TNs$G$"$k$3(B
$B$H$rMxMQ$7$F>.9TNs$G(B$s_{12}=^{t}s^{*}_{21}$$B$N4X78$,$"$k!#(B
$B86;R50F;4X?t$NBP>N@-$r9MN8$7$F!"86;RGHF04X?t$r4^$`@QJ,$G(B0$B$K$J$i$J$$$N$O(B\\
1)$2s$$B$H(B$2s$,
2)$2s$$B$H(B$2p_{x}$,
3)$2p_{x}$$B$H(B$2s$,
4)$2p_{x}$$B$H(B$2p_{x}$,
5)$2p_{y}$$B$H(B$2p_{y}$,
6)$2p_{z}$$B$H(B$2p_{z}$/\\
$B$N@QJ,$G$"$k!#%Q%i%a!<%?#S$N@5$NDj5A$KCm0U$7$F(B\\
1)$B$O(B$S_{ss}$$B$G>.9TNs$N(B(1,1)$B@.J,(B\\
2)$B$O(B$-S_{sp}$$B$G>.9TNs$N(B(1,2)$B@.J,(B\\
3)$B$O(B$S_{sp}$$B$G>.9TNs$N(B(2,1)$B@.J,(B\\
4)$B$O(B$-S_{\sigma}$$B$G>.9TNs$N(B(2,2)$B@.J,(B\\
5)$B$O(B$S_{\pi}$$B$G>.9TNs$N(B(3,3)$B@.J,(B\\
6)$B$O(B$S_{\pi}$$B$G>.9TNs$N(B(4,4)$B@.J,(B\\
$B$H$J$k$+$i(B\\

\begin{equation}s_{12}=^{t}s^{*}_{21}=\left(
\begin{array}{cccc}
S_{ss} & -S_{sp} & 0 & 0 \\
S_{sp} & -S_{\sigma} & 0 & 0 \\
0 & 0 & S_{\pi} & 0 \\
0 & 0 & 0 & S_{\pi}
\end{array}
\right)
\end{equation}
$B$H$J$k!#(B\\
$B;29M$^$G$K(B$$S_{ij}$$$B$O(B\\
\begin{equation}S_{ij}=\left(
\begin{array}{cc}
s_{11} & s_{12} \\
s_{21} & s_{22}
\end{array}
\right)
\end{equation}\\
$B$H$J$k!#(B\\
{250517D $BLyK\!!Bg5*(B}
{(g250517@mail.ecc.u-tokyo.ac.jp)}
{($B:n@.(B02/1/4)}
