{"id":9526,"date":"2024-11-11T11:37:26","date_gmt":"2024-11-11T02:37:26","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=9526"},"modified":"2024-11-11T14:22:23","modified_gmt":"2024-11-11T05:22:23","slug":"%e3%83%9e%e3%82%af%e3%82%b9%e3%82%a6%e3%82%a7%e3%83%ab%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e6%9b%b8%e3%81%8d%e6%96%b9","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\/%e3%83%9e%e3%82%af%e3%82%b9%e3%82%a6%e3%82%a7%e3%83%ab%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ab%e7%8f%be%e3%82%8c%e3%82%8b%e8%ab%b8%e9%87%8f%e3%81%ae%e8%a7%a3%e8%aa%ac\/%e3%83%9e%e3%82%af%e3%82%b9%e3%82%a6%e3%82%a7%e3%83%ab%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e6%9b%b8%e3%81%8d%e6%96%b9\/","title":{"rendered":"\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e\u66f8\u304d\u65b9"},"content":{"rendered":"<p>\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e\u66f8\u304d\u65b9\uff0c\u7279\u306b\u5de6\u8fba\u3068\u53f3\u8fba\u306e\u66f8\u304d\u5206\u3051\u306b\u3064\u3044\u3066\u3002<!--more--><\/p>\n<h3>Wikipedia \u306e\u300c\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u306e\u65b9\u7a0b\u5f0f\u300d\u306e\u9805<\/h3>\n<p><a href=\"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\" target=\"_blank\" rel=\"noopener\">Wikipedia \u306e\u300c\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u306e\u65b9\u7a0b\u5f0f\u300d\u306e\u9805<\/a>\u3067\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8f09\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n<p>\\begin{cases}\\begin{align}<br \/>\n\\nabla\\cdot\\boldsymbol{B}(t,\\boldsymbol{r})&amp;=0\\\\<br \/>\n\\nabla\\times\\boldsymbol{E}(t,\\boldsymbol{r})&amp;=-\\dfrac{\\partial\\boldsymbol{B}(t,\\boldsymbol{r})}{\\partial t}\\\\<br \/>\n\\nabla\\cdot\\boldsymbol{D}(t,\\boldsymbol{r})&amp;=\\rho(t,\\boldsymbol{x})\\\\<br \/>\n\\nabla\\times\\boldsymbol{H}(t,\\boldsymbol{r})&amp;=\\boldsymbol{j}(t,\\boldsymbol{r})+\\dfrac{\\partial\\boldsymbol{D}(t,\\boldsymbol{r})}{\\partial t}<br \/>\n\\end{align}\\end{cases}<\/p>\n<h3>\u300c\u30d5\u30a1\u30a4\u30f3\u30de\u30f3\u7269\u7406\u5b66 \u2162 \u96fb\u78c1\u6c17\u5b66\u300d<\/h3>\n<p>\u624b\u6301\u3061\u306e\u300c\u30d5\u30a1\u30a4\u30f3\u30de\u30f3\u7269\u7406\u5b66 \u2162 \u96fb\u78c1\u6c17\u5b66\u300d\uff081977\u5e745\u670820\u65e5\u3000\u7b2c10\u5237\u767a\u884c\uff01\u306a\u3093\u305f\u3063\u3066\u5927\u5b66\u751f\u306e\u3068\u304d\u306e\u6559\u79d1\u66f8\u3060\u3063\u305f\uff09\u3067\u306f\u7b2c4\u7ae0 4-1 \u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u8a18\u8f09\u304c\u3042\u308b\u3002<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\nabla\\cdot\\boldsymbol{E} &amp;=&amp; \\frac{\\rho}{\\varepsilon_0}, \\tag{4.1}\\\\<br \/>\n\\nabla\\times \\boldsymbol{E} &amp;=&amp; &#8211; \\frac{\\partial \\boldsymbol{B}}{\\partial t}, \\tag{4.2}\\\\<br \/>\nc^2 \\nabla \\times \\boldsymbol{B} &amp;=&amp; \\frac{\\partial \\boldsymbol{E}}{\\partial t} + \\frac{\\boldsymbol{j}}{\\varepsilon_0}, \\tag{4.3}\\\\<br \/>\n\\nabla \\cdot \\boldsymbol{B} &amp;=&amp; 0. \\tag{4.4}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u307e\u305f\uff0c\u7b2c18\u7ae0 18-1 \u3067\u306f\u56db\u89d2\u306e\u56f2\u307f\u306e\u4e2d\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8f09\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol style=\"list-style-type: upper-roman;\">\n<li>$\\displaystyle \\nabla\\cdot\\boldsymbol{E} = \\frac{\\rho}{\\varepsilon_0}$<\/li>\n<li>$\\displaystyle \\nabla\\times \\boldsymbol{E} = &#8211; \\frac{\\partial \\boldsymbol{B}}{\\partial t}$<\/li>\n<li>$\\displaystyle \\nabla \\cdot \\boldsymbol{B} = 0$<\/li>\n<li>$\\displaystyle c^2 \\nabla \\times \\boldsymbol{B} = \\frac{\\partial \\boldsymbol{E}}{\\partial t} + \\frac{\\boldsymbol{j}}{\\varepsilon_0}$<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p>\u30d5\u30a1\u30a4\u30f3\u30de\u30f3\u7269\u7406\u5b66\u3067\u306f $\\boldsymbol{E}-\\boldsymbol{B}$ \u5bfe\u5fdc\u306a\u306e\u3067\uff0c\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306b\u73fe\u308c\u308b\u96fb\u78c1\u5834\u30d9\u30af\u30c8\u30eb\u306f $\\boldsymbol{E}$ \u3068 $\\boldsymbol{B}$ \u306e\u307f\uff0c\u3057\u305f\u304c\u3063\u3066 $\\varepsilon_0$ \u3084 $c^2$ \u304c\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u4e2d\u306b\u73fe\u308c\u308b\u3002<\/p>\n<h3>\u3053\u306e\u30b5\u30a4\u30c8\u3067\u306e\u8a18\u8f09<\/h3>\n<p>\u3053\u306e\u30b5\u30a4\u30c8\uff08\u304a\u3088\u3073\u79c1\u304c\u62c5\u5f53\u3059\u308b\u6388\u696d\uff09\u3067\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8f09\u3059\u308b\u3053\u3068\u306b\u3057\u3066\u3044\u308b\u3002<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\nabla\\cdot \\boldsymbol{D} &amp;=&amp; \\rho\u00a0 \\tag{1}\\\\<br \/>\n\\nabla\\cdot\\boldsymbol{B} &amp;=&amp; 0\u00a0 \\tag{2}\\\\<br \/>\n\\nabla\\times\\boldsymbol{E} + \\frac{\\partial \\boldsymbol{B}}{\\partial t} &amp;=&amp; \\boldsymbol{0}\u00a0 \\tag{3}\\\\<br \/>\n\\nabla\\times\\boldsymbol{H} \u2013 \\frac{\\partial \\boldsymbol{D}}{\\partial t} &amp;=&amp; \\boldsymbol{J} \\tag{4}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u9069\u5b9c\u79fb\u9805\u3059\u308c\u3070\uff0c\u3059\u3079\u3066\u540c\u7b49\u306a\u5f0f\u306a\u3093\u3060\u3051\u3069\uff0c\u306a\u3093\u3067\u3053\u3093\u306a\u5177\u5408\u306b\u8a18\u8f09\u3059\u308b\u3053\u3068\u306b\u3057\u305f\u304b\u3068\u3044\u3046\u3068&#8230;<\/p>\n<ul>\n<li>\u9069\u5b9c\u79fb\u9805\u3057\u3066\uff0c\u96fb\u78c1\u5834\u3092\u8868\u3059\u9805\uff08$\\boldsymbol{D}, \\boldsymbol{B}, \\boldsymbol{E}, \\boldsymbol{H}$ \u304c\u95a2\u308f\u308b\u9805\uff09\u3092\u5de6\u8fba\u306b\uff0c\u7269\u8cea\u306b\u4ed8\u968f\u3059\u308b\u96fb\u8377\uff08\u5bc6\u5ea6\uff09\u3084\u96fb\u6d41\uff08\u5bc6\u5ea6\uff09\uff08$\\rho$ \u3084 $\\boldsymbol{J}$\uff09\u306e\u9805\u3092\u53f3\u8fba\u306b\u307e\u3068\u3081\u308b\uff0c\u3068\u3044\u3046\u65b9\u91dd\u3002\n<ul>\n<li>\u3053\u306e\u3088\u3046\u306b\u6574\u7406\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u96fb\u8377\u306e\u4fdd\u5b58\u5247\u3092\u3042\u3089\u308f\u3059\u5f0f<br \/>\n$$\\frac{\\partial \\rho}{\\partial t} + \\nabla\\cdot \\boldsymbol{J} = 0$$<br \/>\n\u3082\u3059\u3063\u304d\u308a\u3068\u5c0e\u3051\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u96fb\u6d41\u5bc6\u5ea6\u306f\uff08$y$ \u65b9\u5411\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb $\\boldsymbol{j}$ \u3068\u6df7\u540c\u3057\u306a\u3044\u3088\u3046\u306b\uff09\u5927\u6587\u5b57\u3067 $\\boldsymbol{J}$ \u3068\u3059\u308b\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e\u66f8\u304d\u65b9\uff0c\u7279\u306b\u5de6\u8fba\u3068\u53f3\u8fba\u306e\u66f8\u304d\u5206\u3051\u306b\u3064\u3044\u3066\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e3%83%9e%e3%82%af%e3%82%b9%e3%82%a6%e3%82%a7%e3%83%ab%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ab%e7%8f%be%e3%82%8c%e3%82%8b%e8%ab%b8%e9%87%8f%e3%81%ae%e8%a7%a3%e8%aa%ac\/%e3%83%9e%e3%82%af%e3%82%b9%e3%82%a6%e3%82%a7%e3%83%ab%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e6%9b%b8%e3%81%8d%e6%96%b9\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":2626,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-9526","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\/9526","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=9526"}],"version-history":[{"count":15,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/9526\/revisions"}],"predecessor-version":[{"id":9541,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/9526\/revisions\/9541"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2626"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=9526"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}