Discussion:
古典力学的なDirac方程式について
(too old to reply)
H.M
2005-05-13 14:23:55 UTC
Permalink
Dirac$BJ}Dx<0$rNL;R2=$9$kA0$N<0(B
$B&E(B/c=$B&A(B1p1+$B&A(B2p2+$B&A(B2p3+$B&B(Bmc
$B$K!"2<5-$NDL$j!!CfESH>C<$KNL;R2=$N??;w$4$H$r9T$&$H(B

pj$B"*&D(B/$B&D(Bxj $B!"(B $B&E"*&D(B/$B&D(Bt

$B&D(B/$B&D(Bt=c ($B&A(B1 $B&D(B/$B&D(Bx1 +$B&A(B2 $B&D(B/$B&D(Bx2 +$B&A(B3 $B&D(B/$B&D(Bx3) +$B&B(B mc^2$B!!!!<0!J#1!K!!(B

$B!!!!(B
$B$H$J$j$^$9!#$3$l$O!"GHF0J}Dx<0!JC"$7!"#13,!K$N$h$&$J5$$,$7$^$9!#(B


$B$3$N<0$r#2>h$9$k$H!"(B

$B&D(B^2/$B&D(Bt^2=c^2 ($B&D(B^2/$B&D(Bx1^2+$B&D(B^2/$B&D(Bx2^2 +$B&D(B^2/$B&D(Bx3^2) +m^2c^4$B!!<0!J#2!K(B

$B#23,$NGHF0J}Dx<0$K$J$j$^$9!#(B

$B652J=q$K5-:\$5$l$F$$$kI8=`7A$H$O0c$$!"(B+m^2c^4$B$,M>J,$K$"$j$^$9$,!"(B

$B$d$O$jGHF0J}Dx<0$G$O$J$$$N$G$7$g$&$+!)(B

$BCfESH>C<$JNL;R2=$O!"LdBj$,$"$k$+$b$7$l$^$;$s$,!"7k2L$@$18+$k$H!!<0!J#1!K$O(B
$B<0!J#2!K$N#13,$N7A$J$N$G!!<0$H$7$F0UL#$,$"$C$F$b$$$$$+$b$7$l$J$$$H;W$C$F$$$^(B
$B$9!#(B

$B!J$A$g$&$I!"(BDirac$BJ}Dx<0$r(B2$B>h$9$k$H%/%i%$%s!&%4%k%I%sJ}Dx<0$,F@$i$l$k$N$HF1MM(B
$B$G$9!#!K(B





$B$=$3$G<ALd$G$9!#(B


$B<ALd#1!%(B
Dirac$BJ}Dx<0$rNL;R2=$9$kA0$N<0(B
$B&E(B/c=$B&A(B1p1+$B&A(B2p2+$B&A(B2p3+$B&B(Bmc
$B$O!"8EE5NO3X$N<0$H$7$F!"2?$+MxMQ2ACM$OL5$$$N$G$7$g$&$+!)(B




$B<ALd#2!%(B


$B&D(B/$B&D(Bt=c ($B&A(B1 $B&D(B/$B&D(Bx1 +$B&A(B2 $B&D(B/$B&D(Bx2 +$B&A(B3 $B&D(B/$B&D(Bx3) +$B&B(B mc^2$B!!!!<0!J#1!K!!(B



$B$O!"0l1~!"#13,$NGHF0J}Dx<0$@$H;W$o$l$k$N$G$9$,!"(B
$B$3$N<0$O!"8EE5NO3X$N<0$H$7$F2?$+!"MxMQ2ACM$OL5$$$N$G$7$g$&$+!)(B


$B<ALd#3!%(B
$B<0!J#1!K$O!"2?$H$+$7$F2r$1$J$$$G$7$g$&$+!)(B
Shinji KONO
2005-05-13 16:00:35 UTC
Permalink
Post by H.M
$B&D(B/$B&D(Bt=c ($B&A(B1 $B&D(B/$B&D(Bx1 +$B&A(B2 $B&D(B/$B&D(Bx2 +$B&A(B3 $B&D(B/$B&D(Bx3) +$B&B(B mc^2$B!!!!<0!J#1!K!!(B
$B$3$N<0$r#2>h$9$k$H!"(B
$B&D(B^2/$B&D(Bt^2=c^2 ($B&D(B^2/$B&D(Bx1^2+$B&D(B^2/$B&D(Bx2^2 +$B&D(B^2/$B&D(Bx3^2) +m^2c^4$B!!<0!J#2!K(B
2$B>h$K$J$C$F$J$$$h$&$J5$$,$9$k$s$G$9$1$I!#(B
Post by H.M
$B$G$9!#!K(B
$B$=$N(B2$B>h$C$F!"(B
(a+b)(a-b) = a^2 - b^2
$B$_$?$$$J0UL#$G$N(B2$B>h$G$9$h$M!#$=$3$K$O!"%H%j%C%/$,$"$C$F!"$=$l$,!"(B
2x2 $B$N%Q%&%j9TNs$G$9$h$M!#$@$+$i!"(BDirac $BJ}Dx<0$K$O%Q%&%j9TNs$,(B
$B=P$F$/$k$o$1$G$5!#(B

$B$I$&$7$F!"$=$&$7$?$$$+$H$$$&$H!"%m!<%l%s%DITJQ$K$7$?$$$+$i!#(B
$B$I$C$A$,@h$+$C$F8@$($P!"NL;RNO3X$N86M}$NJ}$,M%@h$9$k$HKM$O(B
$B;W$$$^$9!#(B
Post by H.M
$B<ALd#1!%(B
Dirac$BJ}Dx<0$rNL;R2=$9$kA0$N<0(B
$BN5(B/c=$BN1(B1p1+$BN1(B2p2+$BN1(B2p3+$BN2(Bmc
$B$O!"8EE5NO3X$N<0$H$7$F!"2?$+MxMQ2ACM$OL5$$$N$G$7$g$&$+!)(B
$B$3$l$O8EE5NO3X$H$7$F$O0UL#$,$"$j$^$9$h$M!#(B
Post by H.M
$B<ALd#2!%(B
$B&D(B/$B&D(Bt=c ($B&A(B1 $B&D(B/$B&D(Bx1 +$B&A(B2 $B&D(B/$B&D(Bx2 +$B&A(B3 $B&D(B/$B&D(Bx3) +$B&B(B mc^2$B!!!!<0!J#1!K!!(B
$B$3$N<0$O!"8EE5NO3X$N<0$H$7$F2?$+!"MxMQ2ACM$OL5$$$N$G$7$g$&$+!)(B
$B$=$l$O<B$O!"***@E*NL;RNO3X$=$N$b$N$J$s$8$c$J$$$G$9$+(B?
$B<B:]3d$H4JC1$K2r$1$k$o$1$@$7!#(B

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Shinji KONO @ Information Engineering, University of the Ryukyus
$B2OLn??<#(B @ $BN05eBg3X9)3XIt>pJs9)3X2J(B

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