% <PLAINTEXT>
% $BNL;RJ*M}3X(B : $B1i=,LdBj(B Q3-8 $B2rEz(B
% $B:n(B  $B@.(B  $B<T(B : rsaito $Bc7F#(B $BM}0lO:(B
% $B:n@.G/7nF|(B : 97/06/11
% $BEE;R%a!<%k(B : rsaito@ee.uec.ac.jp
%
% \mondai{$B:n@.<T(B}{$B:n@.G/7nF|(B}{$BEE;R%a!<%k(B}{$BLdBjHV9f(B}{$BLdBjJ8(B}{$B2rEz(B}
%
\mondai
{rsaito $Bc7F#(B $BM}0lO:(B}
{97/06/11}
{rsaito@ee.uec.ac.jp}
{3-8}
{$B8w$,5[<}$7$?$jJ|=P$7$?$j$9$k>l9g!$;O>uBV(B 
          $\varphi_n(x)$ $B$H(B $B=*>uBV(B $\varphi_m(x)$ $B$N4V$G!$(B
        $B9TNs(B $ <\varphi_n | x| \varphi_{m}>$ $B$,(B 0 $B$K$J$i$J$$(B
          $B$3$H$,>r7o$G$"$k(B($B$3$l$r(B{\bf $BAP6K;RA+0\(B}\index{$B$=$&(B
          $B$-$g$/$7$;$s$$(B@$BAP6K;RA+0\(B}$B$H$$$&(B)$B!#A4$F$N8GM-4X?t$,4q4X(B
          $B?t$+6v4X?t$N$I$A$i$+$G$"$k;~!$;O>uBV$H=*>uBV$N4V$K(B
          $B$O$I$N$h$&$J4X78$,$J$1$l$P$J$i$J$$$+(B?
}
{
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$B?t$+6v4X?t$N$I$A$i$+$G$"$k>l9g$K$O(B
$$ <\varphi_n | x| \varphi_{m}> 
= \int \varphi_n(x) x \varphi_{m}(x) dx$$
$B$NHo@QJ,4X?t(B$\varphi_n(x) x \varphi_{m}(x)$$B$b4q4X?t$+6v4X?t(B
$B$G$"$k!#$3$N@QJ,$,(B 0 $B$K$J$i$J$$$?$a(B
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$B$N@QJ,$H(B $x<0$ $B$N@QJ,$,BG$A>C$5$l$k$+$i$G$"$k!#(B)
$B=>$C$F!"A4BN$,6v4X?t$"$k$?$a$K$O!"(B\\
\ \\
$B;O>uBV$,4q4X?t$J$i(B $B=*>uBV$O6v4X?t(B \\
$B;O>uBV$,6v4X?t$J$i(B $B=*>uBV$O4q4X?t(B \\
\ \\
$B$G$"$k$3$H$,I,MW$G$"$k!#(B($\varphi_n(x) x \varphi_{m}(x)$ $B$G!"4q(B x $B4q(B x $B6v(B = $B6v(B, $B6v(B x $B4q(B x $B4q(B  = 
$B6v(B $B$N4X78$rMQ$$$?!#(B)
}










