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A ÎŒ = ( Ï / c , A ) , A ÎŒ = η ÎŒ Μ A Μ = ( Ï / c , â A ) {\displaystyle A^{\mu }=(\phi /c,{\boldsymbol {A}}),~A_{\mu }=\eta _{\mu \nu }A^{\nu }=(\phi /c,-{\boldsymbol {A}})}
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F ÎŒ Μ â¡ â ÎŒ A Μ â â Μ A ÎŒ = â F Μ ÎŒ {\displaystyle F_{\mu \nu }\equiv \partial _{\mu }A_{\nu }-\partial _{\nu }A_{\mu }=-F_{\nu \mu }} (0a,0bã«å¯Ÿå¿)
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( F 01 , F 02 , F 03 ) = ( E 1 / c , E 2 / c , E 3 / c ) , ( F 32 , F 13 , F 21 ) = ( B 1 , B 2 , B 3 ) {\displaystyle (F_{01},F_{02},F_{03})=(E_{1}/c,E_{2}/c,E_{3}/c),~(F_{32},F_{13},F_{21})=(B_{1},B_{2},B_{3})}
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â Ï F ÎŒ Μ + â ÎŒ F Μ Ï + â Μ F Ï ÎŒ = 0 {\displaystyle \partial _{\rho }F_{\mu \nu }+\partial _{\mu }F_{\nu \rho }+\partial _{\nu }F_{\rho \mu }=0} (1a,1bã«å¯Ÿå¿)
â ÎŒ F ÎŒ Μ = ÎŒ 0 j Μ {\displaystyle \partial _{\mu }F^{\mu \nu }=\mu _{0}j^{\nu }} (2a,2bã«å¯Ÿå¿)
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黿µå¯åºŠ
j ÎŒ = ( c Ï , j ) {\displaystyle j^{\mu }=(c\rho ,{\boldsymbol {j}})}
ã§ããããã®ãšããé»è·ã®ä¿ååã¯
â ÎŒ j ÎŒ = 0 {\displaystyle \partial _{\mu }j^{\mu }=0} (3ã«å¯Ÿå¿)
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â» A ÎŒ â â ÎŒ â Μ A Μ = ÎŒ 0 j ÎŒ {\displaystyle \Box A^{\mu }-\partial ^{\mu }\partial _{\nu }A^{\nu }=\mu _{0}j^{\mu }}
ããã§ãâ¡ã¯ãã©ã³ãã«ã·ã¢ã³ã§ããã
ãã¯ã¹ãŠã§ã«ã®æ¹çšåŒã¯å€æ§äœçè«ã«ããã埮å圢åŒã«ãã£ãŠç°¡æã«è¡šçŸããããšãã§ããã
ãŸãé»ç£ããã³ã·ã£ã« A ã«ããã1次埮å圢åŒ
A = A ÎŒ d x ÎŒ = Ï d t â A x d x â A y d y â A z d z {\displaystyle A=A_{\mu }\mathrm {d} x^{\mu }=\phi \,\mathrm {d} t-A_{x}\,\mathrm {d} x-A_{y}\,\mathrm {d} y-A_{z}\,\mathrm {d} z}
ãå°å
¥ãããããã«å€åŸ®åãäœçšãããããšã§2次埮å圢åŒ
F â¡ d A = 1 2 ( â ÎŒ A Μ â â Μ A ÎŒ ) d x ÎŒ â§ d x Μ = 1 2 F ÎŒ Μ d x ÎŒ â§ d x Μ = E x d t â§ d x + E y d t â§ d y + E z d t â§ d z â B x d y â§ d z â B y d z â§ d x â B z d x â§ d y {\displaystyle {\begin{aligned}F&\equiv \mathrm {d} A={\tfrac {1}{2}}(\partial _{\mu }A_{\nu }-\partial _{\nu }A_{\mu })\,\mathrm {d} x^{\mu }\wedge \mathrm {d} x^{\nu }\\&={\tfrac {1}{2}}F_{\mu \nu }\,\mathrm {d} x^{\mu }\wedge \mathrm {d} x^{\nu }\\&=E_{x}\,\mathrm {d} t\wedge \mathrm {d} x+E_{y}\,\mathrm {d} t\wedge \mathrm {d} y+E_{z}\,\mathrm {d} t\wedge \mathrm {d} z-B_{x}\,\mathrm {d} y\wedge \mathrm {d} z-B_{y}\,\mathrm {d} z\wedge \mathrm {d} x-B_{z}\,\mathrm {d} x\wedge \mathrm {d} y\end{aligned}}}
ãå®çŸ©ãããã ããã« F ã®ãããžå察ãšã㊠2次埮å圢åŒ
H â¡ 1 ÎŒ 0 F â = 1 4 ÎŒ 0 ε ÎŒ Μ Ï Ï F ÎŒ Μ d x Ï â§ d x Ï = 1 2 H ÎŒ Μ d x ÎŒ â§ d x Μ = H x c d t â§ d x + H y c d t â§ d y + H z c d t â§ d z + D x c d y â§ d z + D y c d z â§ d x + D z c d x â§ d y {\displaystyle {\begin{aligned}H&\equiv {\tfrac {1}{\mu _{0}}}F^{*}={\tfrac {1}{4\mu _{0}}}\epsilon _{\mu \nu \rho \sigma }F^{\mu \nu }\mathrm {d} x^{\rho }\wedge \mathrm {d} x^{\sigma }\\&={\tfrac {1}{2}}H_{\mu \nu }\,\mathrm {d} x^{\mu }\wedge \mathrm {d} x^{\nu }\\&=H_{x}\,c\mathrm {d} t\wedge \mathrm {d} x+H_{y}\,c\mathrm {d} t\wedge \mathrm {d} y+H_{z}\,c\mathrm {d} t\wedge \mathrm {d} z+D_{x}c\,\mathrm {d} y\wedge \mathrm {d} z+D_{y}c\,\mathrm {d} z\wedge \mathrm {d} x+D_{z}c\,\mathrm {d} x\wedge \mathrm {d} y\end{aligned}}}
ãå®çŸ©ãããã
4å
黿µå¯åºŠã«ãã1次埮å圢åŒ
J = j ÎŒ d x ÎŒ = Ï c 2 d t â j x d x â j y d y â j z d z {\displaystyle J=j_{\mu }\mathrm {d} x^{\mu }=\rho c^{2}\mathrm {d} t-j_{x}\mathrm {d} x-j_{y}\mathrm {d} y-j_{z}\mathrm {d} z}
ãå°å
¥ããããã®ãããžå察ã«ãã3次埮å圢åŒ
J â = 1 3 ! ε ÎŒ Μ Ï Ï j ÎŒ d x Μ â§ d x Ï â§ d x Ï = Ï c d x â§ d y â§ d z â j x c d t â§ d y â§ d z â j y c d t â§ d z â§ d x â j z c d t â§ d x â§ d y {\displaystyle {\begin{aligned}J^{*}&={\tfrac {1}{3!}}\epsilon _{\mu \nu \rho \sigma }j^{\mu }\mathrm {d} x^{\nu }\wedge \mathrm {d} x^{\rho }\wedge \mathrm {d} x^{\sigma }\\&=\rho c\,\mathrm {d} x\wedge \mathrm {d} y\wedge \mathrm {d} z-j_{x}\,c\mathrm {d} t\wedge \mathrm {d} y\wedge \mathrm {d} z-j_{y}\,c\mathrm {d} t\wedge \mathrm {d} z\wedge \mathrm {d} x-j_{z}\,c\mathrm {d} t\wedge \mathrm {d} x\wedge \mathrm {d} y\end{aligned}}}
ãå®çŸ©ããã°ãå€åŸ®åã®äœçšã«ããéåæ¹çšåŒ(2a,2b)ã«å¯Ÿå¿ããŠ
d H = J â {\displaystyle \mathrm {d} H=J^{*}}
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å€åŸ®åã®æ§è³ª ddΟ=0 ãã(1a,1b)ã«å¯Ÿå¿ãã
d F = d d A = 0 {\displaystyle \mathrm {d} F=\mathrm {dd} A=0}
ãšãé£ç¶ã®æ¹çšåŒã«å¯Ÿå¿ãã
d J â = d d H = 0 {\displaystyle \mathrm {d} J^{*}=\mathrm {dd} H=0}
ãåŸãããã
| false | false | false |
https://ja.wikipedia.org/wiki/%E3%83%9E%E3%82%AF%E3%82%B9%E3%82%A6%E3%82%A7%E3%83%AB%E3%81%AE%E6%96%B9%E7%A8%8B%E5%BC%8F
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1979幎ã西åç§æš¹ããŽã£ã¬ããžã»ããŒãã«ã®ãY.M.C.A.ãããYOUNG MAN (Y.M.C.A.)ããšããŠã«ããŒãã倧ããããæŽæ¥œã®ã«ããŒæ²ãšããŠåããŠæ¥æ¬æè¬¡å€§è³ãåè³ããããããåã£æããšããŠ1980å¹Žä»£ã«æ¬§ç±³ã®ãã£ã¹ã³ã»ãã¥ãŒãžãã¯ã«æ¥æ¬èªè©ãä»ããã«ããŒæ²ãæµè¡ãããäžã§ãè»éç®æŽåã®ããã³ã·ã³ã°ã»ããŒã㌠(Eat You Up)ãã¯1986幎ããæµè¡ããæåã®ã¢ã«ãã ãNON-STOPPERãã¯1987幎床ã®ãªãªã³ã³ã¢ã«ãã 売äžå¹Žé1äœãèšé²ã2010幎代ã«ããªãã€ãã«ã§å泚ç®ãããã
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1984幎ãã€ã¿ãªã¢ã®ã¬ãŒãã®åæ²ãã«ããŒãããéšé³ã¯ã·ã§ãã³ã®èª¿ã¹ã(å°æéº»çŸ)ãããããã3é±é£ç¶ãªãªã³ã³1äœãšãªã£ãã
1988幎ãè¬åž«äžžã²ãåãäžå³¶ã¿ããã®ãæä»£ããã«ããŒããããããç¶ããŠ1989幎ãæè€ç±è²Žãäºäžéœæ°Žã®ã倢ã®äžãžãããæ£®é«åéãåæ²ç¹ã®ã17æããã«ããŒããããã倧ããããããããã£ãããšããŠåœæã®è¥æææãéå»ã®ãããæ²ãã«ããŒããããšãæµè¡ããã
1980幎代æ«ã1990幎代ååã«ã¯ã欧米ã®ã¢ãŒãã£ã¹ããJ-POPã®æ¥œæ²ãã«ããŒãããããããéã«ããŒããããŒã ã«ãªã£ããããŒã ã®ãã£ããã¯1989幎ã«ã¬ã€ã»ãã£ãŒã«ãºããµã¶ã³ãªãŒã«ã¹ã¿ãŒãºã®ãããšãã®ãšãªãŒãããEllie My LoveããšããŠã«ããŒããããããããšã ãšãã1990幎ã«çºå£²ãããA.S.A.P.ãæŸä»»è°·ç±å®ã®æ¥œæ²ãã«ããŒããã¢ã«ãã ãGRADUATIONãããããããããšã ãšãèšãããã
1994幎ãäžæ£®æèãã«ããŒã¢ã«ãã ãæå§«ããçºå£²ã30äžæã®ãããã2002幎ãš2004幎ã«ã¯ç¶ç·šãçºè¡šããã环èšã§100äžæã売ãäžããã
1997幎é ãããåŸå¹Žã®å€§ã¹ã¿ãŒã®æ²ãèŽããŠè²ã£ãäžä»£ã®ãã¥ãŒãžã·ã£ã³ãã¡ãããªãªãžãã«ãèªèº«ã®ã¢ã¬ã³ãžã§å¹ã蟌ã¿çŽãããã®ã¹ã¿ãŒã«æ§ãããšããæå³ã§ã®ã«ããŒããŒãžã§ã³éãããªãã¥ãŒãã»ã¢ã«ãã ããå¢ããã
森山è¯åã«ãã1998幎ååºã®æ¥œæ²ãæ¶ããããã(äœæ²:BEGIN)ã¯ãBEGINèªèº«ã«ããã·ã³ã°ã«åãçµãŠãå€å·ãã¿ã«ãã2001幎ã®ã«ããŒã«ç«ãã€ããJASRACè³(èäœæš©åé
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2000幎代åé ã®æ¥æ¬ã®é³æ¥œæ¥çã§ã¯ãCDäžæ³ã®åœ±é¿ãåããŠCDã売ããªããããã¬ã³ãŒããå€ãè²·ã£ãŠããå£å¡ã®äžä»£ãçã£ã圢ã§ã®éå»ã®ãããæ²ã®ã«ããŒãéåžžã«å¢ããã2000幎代åé ã®æ¥æ¬ã®é³æ¥œæ¥çã«ãããã«ããŒããŒã ã®ãã£ãããšãªã£ããšãããã®ã¯ã2001幎ã«çºå£²ãããäºäžéœæ°Žã®ã«ããŒã¢ã«ãã ãUNITED COVERãã§ãããå幎ã«ã¯åæ¬ä¹ã®ãææ¥ãããããããŠã«ãã«ãºãRe:Japanããã«ããŒããŠããããããã2002幎ã«ã¯ãŽã£ã¬ããžã»ã·ã³ã¬ãŒãºã®ãäºéº»è²ã®é«ªã®ä¹å¥³ããå³¶è°·ã²ãšã¿ãã«ããŒããŠãããããããŸãæ§ã
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2005幎9æã«çºå£²ããããåŸ³æ°žè±æã女æ§ã¢ãŒãã£ã¹ãã®æ²ãã«ããŒããã¢ã«ãã ãVOCALISTãã¯ãæ¥æ¬ãŽãŒã«ããã£ã¹ã¯å€§è³ãäŒç»ã¢ã«ãã ã»ãªãã»ã¶ã»ã€ã€ãŒããåè³ããVOCALIST 2ããVOCALIST 3ããVOCALIST 4ããå«ããŠå€§ãããããã
2005幎ç§ããç¿å¹Žã«ãããæ ç»ãNANA-ãã-ãã®åäžæãšããŠå€§ãããããäŒè€ç±å¥ã®ãENDLESS STORYãã¯ãå
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2006幎ãã¢ãªã¹ã¿ãŒãæ¥æ¬åãäŒç»ã¢ã«ãã ãšããŠçºå£²ãããGuilty Pleasuresãããããããæ¬§ç±³ã¢ãŒãã£ã¹ããJ-POPã®æ¥œæ²ãã«ããŒããäœåãåã³æ³šç®ãããããã«ãªãã2008幎11æå
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2010幎ã«ã¯ç·æ§ãã¥ãªã³ãã¯ãã40äžæéå®ã§ãALL COVERS BESTããçºå£²ãããªãªã³ã³ãã£ãŒãã®åå売ãäžãã§29.1äžæãèšé²ãåãã£ãŒãã«ãŠã«ããŒã¢ã«ãã å²äžæé«ã®åå売ãäžããšãªã£ãã
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代æ°çæ°
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Java Database Connectivity
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