{"id":3750,"date":"2022-09-06T13:32:09","date_gmt":"2022-09-06T04:32:09","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=3750"},"modified":"2024-02-20T13:27:51","modified_gmt":"2024-02-20T04:27:51","slug":"%e5%8f%82%e8%80%83%ef%bc%9a%e9%9b%bb%e7%a3%81%e5%a0%b4%e3%81%ae%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc%e5%af%86%e5%ba%a6%e3%81%a8%e3%83%9d%e3%82%a4%e3%83%b3%e3%83%86%e3%82%a3%e3%83%b3%e3%82%b0","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e5%8f%82%e8%80%83%ef%bc%9a%e9%9b%bb%e7%a3%81%e5%a0%b4%e3%81%ae%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc%e5%af%86%e5%ba%a6%e3%81%a8%e3%83%9d%e3%82%a4%e3%83%b3%e3%83%86%e3%82%a3%e3%83%b3%e3%82%b0\/","title":{"rendered":"\u96fb\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u3068\u30dd\u30a4\u30f3\u30c6\u30a3\u30f3\u30b0\u30d9\u30af\u30c8\u30eb"},"content":{"rendered":"

<\/p>\n

\u771f\u7a7a\u306e\u5834\u5408\u306e\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f<\/h3>\n

\u7c21\u5358\u306e\u305f\u3081\u306b\u771f\u7a7a\uff08$\\rho = 0, \\ \\boldsymbol{J} = \\boldsymbol{0}$\uff09\u306e\u5834\u5408\u3067\u8aac\u660e\u3059\u308b\u3002\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306f\uff0c$ \\boldsymbol{D} = \\varepsilon_0 \\boldsymbol{E}, \\\u00a0 \\boldsymbol{H} = \\varepsilon_0 c^2 \\boldsymbol{B}$ \u3092\u4f7f\u3063\u3066 $\\boldsymbol{E}$ \u3068 $\\boldsymbol{B}$ \u3067\u3042\u3089\u308f\u3059\u3068\uff0c<\/p>\n

\\begin{eqnarray}\\nabla\\cdot \\boldsymbol{E} &=& 0\u00a0 \\tag{1}\\\\
\n\\nabla\\cdot\\boldsymbol{B} &=& 0\u00a0 \\tag{2}\\\\
\n\\frac{\\partial \\boldsymbol{B}}{\\partial t} &=& – \\nabla\\times\\boldsymbol{E}\u00a0\u00a0 \\tag{3}\\\\
\n\\frac{\\partial \\boldsymbol{E}}{\\partial t} &=&c^2 \\nabla\\times\\boldsymbol{B} \\tag{4}
\n\\end{eqnarray}<\/p>\n

$(3)$ \u5f0f\u3068 $(4)$ \u5f0f\u304b\u3089<\/p>\n

\\begin{eqnarray}
\n\\frac{\\partial}{\\partial t} \\left\\{\\frac{1}{2} \\varepsilon_0 \\boldsymbol{E}\\cdot\\boldsymbol{E} + \\frac{1}{2} \\varepsilon_0 c^2 \\boldsymbol{B}\\cdot\\boldsymbol{B} \\right\\}
\n&=&
\n\\varepsilon_0 \\boldsymbol{E}\\cdot\\frac{\\partial \\boldsymbol{E}}{\\partial t} + \\varepsilon_0 c^2 \\boldsymbol{B}\\cdot\\frac{\\partial \\boldsymbol{B}}{\\partial t} \\\\
\n&=& \\varepsilon_0 \\boldsymbol{E}\\cdot\\left(c^2 \\nabla\\times\\boldsymbol{B} \\right) + \\varepsilon_0 c^2 \\boldsymbol{B}\\cdot\\left( – \\nabla\\times\\boldsymbol{E} \\right) \\\\
\n&=& – \\varepsilon_0 c^2 \\left\\{ \\left( \\nabla\\times\\boldsymbol{E} \\right)\\cdot\\boldsymbol{B} – \\boldsymbol{E} \\cdot \\left( \\nabla\\times\\boldsymbol{B} \\right) \\right\\} \\\\
\n&=& – \\varepsilon_0 c^2 \\nabla\\cdot \\left(\\boldsymbol{E}\\times\\boldsymbol{B} \\right)
\n\\end{eqnarray}<\/p>\n

\uff08\u6700\u5f8c\u306e\u884c\u306b\u306a\u308b\u306e\u306f\u3053\u306e\u3078\u3093<\/strong><\/span><\/a>\u3092\u53c2\u7167\u3002\uff09<\/p>\n

\u9023\u7d9a\u306e\u5f0f\uff1a\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247<\/h3>\n

\u3042\u3089\u305f\u3081\u3066<\/p>\n

\\begin{eqnarray}
\nu &\\equiv&\u00a0 \\frac{1}{2} \\varepsilon_0 \\boldsymbol{E}\\cdot\\boldsymbol{E} + \\frac{1}{2} \\varepsilon_0 c^2 \\boldsymbol{B}\\cdot\\boldsymbol{B} \\\\
\n&=& \\frac{1}{2}\\boldsymbol{E}\\cdot\\boldsymbol{D} + \\frac{1}{2} \\boldsymbol{H}\\cdot\\boldsymbol{B}\\\\
\n\\boldsymbol{S} &\\equiv& \\varepsilon_0 c^2\\boldsymbol{E}\\times\\boldsymbol{B} \\\\
\n&=& \\boldsymbol{E}\\times\\boldsymbol{H}
\n\\end{eqnarray}<\/p>\n

\u3068\u5b9a\u7fa9\u3059\u308c\u3070\uff0c<\/p>\n

$$\\frac{\\partial u}{\\partial t} + \\nabla\\cdot\\boldsymbol{S} = 0$$<\/p>\n

\u3068\u3044\u3046\u9023\u7d9a\u306e\u5f0f\u304c\u51fa\u3066\u304f\u308b\u3002\u5225\u30da\u30fc\u30b8\u300c\u53c2\u8003\uff1a\u96fb\u8377\u306e\u4fdd\u5b58\u5247<\/a>\u300d\u3067\u8aac\u660e\u3057\u305f\u3088\u3046\u306b\uff0c\u9023\u7d9a\u306e\u5f0f\u3068\u3044\u3046\u306e\u306f\u4fdd\u5b58\u5247\u306e\u5fae\u5206\u5f62\u3067\u3042\u308b\u3002<\/p>\n

\u3053\u308c\u306f\u3059\u306a\u308f\u3061\uff0c$u$ \u304c\u96fb\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6<\/strong><\/span>\uff0c$\\boldsymbol{S}$ \u304c\u96fb\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u6d41\u675f<\/strong><\/span>\u3092\u3042\u3089\u308f\u3059\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u96fb\u78c1\u5834\u81ea\u4f53\u304c\u3082\u3064\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u6d41\u308c\u3092\u3042\u3089\u308f\u3059\u30d9\u30af\u30c8\u30eb $\\boldsymbol{S}$ \u306f\u30dd\u30a4\u30f3\u30c6\u30a3\u30f3\u30b0\u30d9\u30af\u30c8\u30eb<\/strong><\/span>\u3068\u547c\u3070\u308c\u308b\u3002<\/p>\n

\u3044\u304d\u306a\u308a\uff0c$\\displaystyle u = \\frac{1}{2}\\boldsymbol{E}\\cdot\\boldsymbol{D} + \\frac{1}{2} \\boldsymbol{H}\\cdot\\boldsymbol{B}$ \u304c\u96fb\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u3060\u3068\u8a00\u308f\u308c\u3066\u3082\u5510\u7a81\u3067\u56f0\u308b\u3060\u308d\u3046\u304b\u3089\uff0c\u4ee5\u4e0b\u3067\u306f\u307e\u305a\uff0c\u9759\u96fb\u5834\u306e\u5834\u5408\u306b\uff0c$\\displaystyle u = \\frac{1}{2}\\boldsymbol{E}\\cdot\\boldsymbol{D}$ \u304c\u78ba\u304b\u306b\u9759\u96fb\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u304b\u3081\u3066\u307f\u308b\u3002<\/p>\n

\u9759\u96fb\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc<\/h3>\n

2\u500b\u306e\u8377\u96fb\u7c92\u5b50\u306e\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc<\/h4>\n

\u4f4d\u7f6e $\\boldsymbol{r}_1$ \u306b\u96fb\u8377 $q_1$\uff0c\u4f4d\u7f6e $\\boldsymbol{r}_2$ \u306b\u96fb\u8377 $q_2$\u3002\u3053\u306e1\u5bfe\u306e\u8377\u96fb\u7c92\u5b50\u306e\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc $U$ \u306f\uff0c\u96fb\u8377 $q_2$ \u304c\u4f4d\u7f6e $\\boldsymbol{r}_1$ \u306b\u3064\u304f\u308b\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092 $\\phi_2(\\boldsymbol{r}_1)$ \u3068\u3059\u308b\u3068\uff0c<\/p>\n

$$U = U_{12} = q_1 \\phi_2(\\boldsymbol{r}_1)$$<\/p>\n

\u3042\u308b\u3044\u306f\uff0c<\/p>\n

\u96fb\u8377 $q_1$ \u304c\u4f4d\u7f6e $\\boldsymbol{r}_2$ \u306b\u3064\u304f\u308b\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092 $\\phi_1(\\boldsymbol{r}_2)$ \u3068\u3059\u308b\u3068\uff0c<\/p>\n

$$U = U_{21} = q_2 \\phi_1(\\boldsymbol{r}_2)$$<\/p>\n

2\u500b\u30671\u5bfe\u306e\u30da\u30a21\u7d44\u306b\u5bfe\u3057\u3066\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u3042\u308b\u30021\u500b1\u500b\u306e\u8377\u96fb\u7c92\u5b50\u306b\u3064\u3044\u3066\u6a5f\u68b0\u7684\u306b\u8a08\u7b97\u3059\u308b\u5834\u5408\u306f\uff0c\u30c0\u30d6\u3089\u306a\u3044\u3088\u3046\u306b $2$ \u3067\u5272\u308b\u3002<\/p>\n

$$U = \\frac{1}{2} \\left(U_{12} + U_{21}\\right)$$<\/p>\n

$U_{11}$ \u3068\u304b $U_{22}$ \u3068\u304b\u306f\u7121\u3057\u3002<\/p>\n

3\u500b\u306e\u8377\u96fb\u7c92\u5b50\u306e\u7cfb\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc<\/h4>\n

\\begin{eqnarray}
\nU &=& U_{12} + U_{13} + U_{23} \\\\
\n&=& \\frac{1}{2} \\left\\{U_{12} + U_{13} + U_{21} + U_{23} + U_{31} + U_{32} \\right\\} \\\\
\n&=& \\frac{1}{2} \\sum_{i=1}^3\u00a0 q_i \\phi(\\boldsymbol{r}_i) \\\\
\n\\phi(\\boldsymbol{r}_i) &\\equiv& \\sum_{j\\neq i} \\phi_j (\\boldsymbol{r}_i)
\n\\end{eqnarray}<\/p>\n

$n$ \u500b\u306e\u8377\u96fb\u7c92\u5b50\u306e\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc<\/h4>\n

\u540c\u69d8\u306b\u3057\u3066\uff0c\u8377\u96fb\u7c92\u5b50\u304c $n$ \u500b\u306e\u5834\u5408\u306f<\/p>\n

\\begin{eqnarray}
\nU
\n&=& \\frac{1}{2} \\sum_{i=1}^n\u00a0 q_i \\phi(\\boldsymbol{r}_i)
\n\\end{eqnarray}<\/p>\n

 <\/p>\n

\u9023\u7d9a\u7684\u306a\u96fb\u8377\u5bc6\u5ea6\u306e\u5834\u5408\u306e\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc<\/h4>\n

\u9023\u7d9a\u7684\u306a\u96fb\u8377\u5206\u5e03 \\(\\rho(\\boldsymbol{r})\\) \u306e\u5834\u5408\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u7f6e\u304d\u63db\u3048\u3092\u3059\u308b\u3002
\n\\begin{eqnarray}
\n\\boldsymbol{r}_i &\\rightarrow& \\boldsymbol{r} \\\\
\nq_i &\\rightarrow& \\rho(\\boldsymbol{r}_i ) dV_i\\\\
\n\\sum_{i} dV_i&\\rightarrow& \\iiint \\, dV
\n\\end{eqnarray}<\/p>\n

\u307e\u305f\uff0c$\\nabla\\cdot\\boldsymbol{D}=\\rho, \\ \\boldsymbol{E} = – \\nabla\\phi$ \u3082\u4f7f\u3063\u3066<\/p>\n

\\begin{eqnarray}
\nU &=& \\frac{1}{2} \\sum_{i=1}^n q_i \\phi(\\boldsymbol{r}_i) \\\\
\n&\\rightarrow& \\frac{1}{2} \\iiint_V \\rho \\,\\phi\\, dV
\n\\end{eqnarray}<\/p>\n

\u3064\u307e\u308a\uff0c\u9759\u96fb\u5834\u306e\u5834\u5408\u306e\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6 $u_{\\rm e.s.}$ \u306f<\/p>\n

$$u_{\\rm e.s.} = \\frac{1}{2}\\rho \\,\\phi$$<\/p>\n

\u3068\u66f8\u3051\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u305f\u3002<\/p>\n

\u9759\u96fb\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6<\/h3>\n

\u96fb\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c<\/p>\n

$$ U = \\frac{1}{2} \\iiint_V \\boldsymbol{E}\\cdot\\boldsymbol{D}\\, dV$$<\/p>\n

\u3068\u66f8\u3051\u308b\u3068\u3059\u308b\u3068\uff0c\u9759\u96fb\u5834\u306e\u5834\u5408\u306b\u306f<\/p>\n

\\begin{eqnarray}
\nU &=& \\frac{1}{2} \\iiint_V \\boldsymbol{E}\\cdot\\boldsymbol{D}\\, dV \\\\
\n&=& – \\frac{1}{2} \\iiint_V \\left(\\nabla \\phi\\right)\\cdot\\boldsymbol{D}\\, dV \\\\
\n&=& – \\frac{1}{2} \\iiint_V \\left\\{ \\nabla\\cdot \\left( \\phi \\boldsymbol{D}\\right) -\\left(\\nabla\\cdot\\boldsymbol{D}\\right) \\phi \\right\\} \\, dV \\\\
\n&=& – \\frac{1}{2} \\iint_S \\left( \\phi \\boldsymbol{D}\\right)\\cdot\\boldsymbol{n}\\, dS
\n+ \\frac{1}{2} \\iiint_V \\rho\\,\\phi\\, dV \\\\
\n&\\rightarrow &\u00a0 \\frac{1}{2} \\iiint_V \\rho\\,\\phi\\, dV
\n\\end{eqnarray}<\/p>\n

 <\/p>\n

\u3053\u3053\u3067\uff0c\u30ac\u30a6\u30b9\u306e\u5b9a\u7406\u306b\u3088\u3063\u3066\u5909\u5f62\u3057\u305f\u8868\u9762\u7a4d\u5206\u306e\u9805 $\\displaystyle\u00a0 \\iint_S \\left(\\phi \\boldsymbol{D} \\right)\\cdot\\boldsymbol{n} \\,dS$ \u306f\u5341\u5206\u5927\u304d\u3044\u9818\u57df $S$ \u3092\u8003\u3048\u308c\u3070\u30bc\u30ed\u306b\u306a\u308b\u3053\u3068\u3092\u4f7f\u3063\u305f\u3002<\/p>\n

\u3088\u3063\u3066\uff0c\u96fb\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6 $\\displaystyle u = \\frac{1}{2} \\boldsymbol{E}\\cdot \\boldsymbol{D}$ \u306f\uff0c\u9759\u96fb\u5834\u306e\u5834\u5408\u306b\u306f\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6 $u_{\\rm e.s.}$ \u306b\u5e30\u7740\u3059\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u305f\u3002<\/p>\n

\u9759\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6<\/h3>\n

\u3067\u306f\uff0c\u9759\u78c1\u5834\u306e\u5834\u5408\u306b\uff0c\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u306f\u3069\u306e\u3088\u3046\u306b\u66f8\u3051\u308b\u3060\u308d\u3046\u304b\u3002<\/p>\n

\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c<\/p>\n

$$ U = \\frac{1}{2} \\iiint_V \\boldsymbol{H}\\cdot\\boldsymbol{B}\\, dV$$<\/p>\n

\u3068\u66f8\u3051\u308b\u3068\u3059\u308b\u3068\uff0c\u9759\u78c1\u5834\u306e\u5834\u5408\u306b\u306f<\/p>\n

\\begin{eqnarray}
\nU &=& \\frac{1}{2} \\iiint_V \\boldsymbol{H}\\cdot\\boldsymbol{B}\\, dV \\\\
\n&=& \\frac{1}{2} \\iiint_V \\boldsymbol{H}\\cdot\\left( \\nabla\\times\\boldsymbol{A}\\right)\\, dV \\\\
\n&=& \\frac{1}{2} \\iiint_V \\left\\{ \\left( \\nabla\\times\\boldsymbol{H} \\right)\\cdot\\boldsymbol{A}
\n-\\nabla\\cdot\\left(\\boldsymbol{H}\\times\\boldsymbol{A} \\right)\\right\\} \\, dV \\\\
\n&=& \\frac{1}{2} \\iiint_V \\boldsymbol{J}\\cdot\\boldsymbol{A} \\, dV
\n-\\frac{1}{2} \\iint_S \\left(\\boldsymbol{H}\\times\\boldsymbol{A} \\right)\\cdot \\boldsymbol{n}\\, dS \\\\
\n&\\rightarrow& \\frac{1}{2} \\iiint_V \\boldsymbol{J}\\cdot\\boldsymbol{A} \\, dV
\n\\end{eqnarray}<\/p>\n

\u3053\u3053\u3067\uff0c\u30ac\u30a6\u30b9\u306e\u5b9a\u7406\u306b\u3088\u3063\u3066\u5909\u5f62\u3057\u305f\u8868\u9762\u7a4d\u5206\u306e\u9805 $\\displaystyle\u00a0 \\iint_S \\left(\\boldsymbol{H}\\times\\boldsymbol{A} \\right)\\cdot \\boldsymbol{n} \\,dS$ \u306f\u5341\u5206\u5927\u304d\u3044\u9818\u57df $S$ \u3092\u8003\u3048\u308c\u3070\u30bc\u30ed\u306b\u306a\u308b\u3053\u3068\u3092\u4f7f\u3063\u305f\u3002<\/p>\n

\u3088\u3063\u3066\uff0c\u9759\u78c1\u5834\u306e\u5834\u5408\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6 $u_{\\rm m.s.}$ \u306f<\/p>\n

$$u_{\\rm m.s.} = \\frac{1}{2} \\boldsymbol{J}\\cdot\\boldsymbol{A}$$<\/p>\n

\u3068\u66f8\u3051\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u305f\u3002\u9759\u96fb\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6 $u_{\\rm e.s.}$ \u304c\u96fb\u8377\u5bc6\u5ea6 $\\rho$ \u3068\u30b9\u30ab\u30e9\u30fc\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb $\\phi$ \u306e\u7a4d\u3067\u66f8\u304b\u308c\u308b\u3053\u3068\u306b\u5bfe\u5fdc\u3057\u3066\uff0c\u9759\u78c1\u5834\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6 $u_{\\rm m.s.}$ \u306f\u96fb\u6d41\u5bc6\u5ea6 $\\boldsymbol{J}$ \u3068\u30d9\u30af\u30c8\u30eb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb $\\boldsymbol{A}$ \u306e\u5185\u7a4d\u3067\u66f8\u304b\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\uff0c\u306a\u3093\u3060\u304b\u3068\u3066\u3082\u6e05\u3005\u3057\u3044\u3002<\/p>\n

\u88dc\u8db3\uff1a\u30d9\u30af\u30c8\u30eb\u306e\u5fae\u5206\u516c\u5f0f<\/h3>\n

\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30d9\u30af\u30c8\u30eb\u306e\u5fae\u5206\u306e\u516c\u5f0f\u3092\u4f7f\u3063\u3066\u3044\u308b\u3002\uff08\u53f3\u8fba\u304b\u3089\u5de6\u8fba\u3092\u5f15\u3044\u3066\u30bc\u30ed\u306b\u306a\u308b\u3053\u3068\u3092\u76f4\u63a5\u793a\u305b\u308b\u3002\u3053\u3053<\/strong><\/span><\/a>\u3068\u304b\u3053\u3053<\/strong><\/span><\/a>\u3068\u304b\u3092\u53c2\u7167\u3002\uff09<\/p>\n

$$\\nabla\\cdot\\left( \\boldsymbol{E}\\times\\boldsymbol{B}\\right)
\n= \\left(\\nabla\\times\\boldsymbol{E} \\right)\\cdot\\boldsymbol{B}
\n– \\boldsymbol{E}\\cdot\\left(\\nabla\\times\\boldsymbol{B} \\right)$$<\/p>\n

$$\\nabla\\cdot\\left( \\phi\\,\\boldsymbol{D}\\right) = \\left(\\nabla\\phi\\right)\\cdot\\boldsymbol{D} +\\left(\\nabla\\cdot\\boldsymbol{D}\\right)\\,\\phi$$<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":2561,"menu_order":40,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-3750","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/3750","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=3750"}],"version-history":[{"count":26,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/3750\/revisions"}],"predecessor-version":[{"id":7636,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/3750\/revisions\/7636"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2561"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=3750"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}