{"id":209322,"date":"2024-03-21T14:07:18","date_gmt":"2024-03-21T14:07:18","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e5%a4%9a%e9%87%8d%e6%a5%b5%e5%b1%95%e9%96%8b%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e5%bf%9c%e7%94%a8%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:10:31","modified_gmt":"2024-05-17T15:10:31","slug":"%e5%a4%9a%e9%87%8d%e6%a5%b5%e5%b1%95%e9%96%8b%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e5%bf%9c%e7%94%a8%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e5%a4%9a%e9%87%8d%e6%a5%b5%e5%b1%95%e9%96%8b%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e5%bf%9c%e7%94%a8%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f | \u6982\u8981\u3068\u5fdc\u7528\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f\u3068\u306f\u3001\u96fb\u5834\u3084\u78c1\u5834\u3001\u91cd\u529b\u5834\u306e\u8907\u96d1\u306a\u554f\u984c\u3092\u7c21\u5358\u306b\u3059\u308b\u305f\u3081\u306e\u6570\u5b66\u30c4\u30fc\u30eb\u3067\u3042\u308a\u3001\u9759\u96fb\u5834\u3084\u91cd\u529b\u5834\u306e\u89e3\u6790\u306b\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n<h2>\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f | \u6982\u8981\u3068\u5fdc\u7528\u65b9\u6cd5<\/h2>\n<p>\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f\uff08Multipole Expansion\uff09\u306f\u3001\u96fb\u6c17\u304a\u3088\u3073\u78c1\u6c17\u306e\u554f\u984c\u306b\u304a\u3044\u3066\u3001\u8907\u96d1\u306a\u96fb\u5834\u3084\u78c1\u5834\u3092\u3088\u308a\u7c21\u5358\u306b\u6271\u3046\u305f\u3081\u306e\u5f37\u529b\u306a\u6570\u5b66\u7684\u30c4\u30fc\u30eb\u3067\u3059\u3002\u3053\u306e\u624b\u6cd5\u306f\u3001\u7279\u306b\u9759\u96fb\u5834\u3084\u91cd\u529b\u5834\u306e\u89e3\u6790\u306b\u591a\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u307e\u305a\u591a\u91cd\u6975\u5c55\u958b\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u7d39\u4ecb\u3057\u3001\u305d\u306e\u5f8c\u5177\u4f53\u7684\u306a\u5fdc\u7528\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2>\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f\u306e\u57fa\u672c\u6982\u5ff5<\/h2>\n<p>\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f\u306f\u3001\u96fb\u8377\u5206\u5e03\u3092\u4e00\u9023\u306e\u300c\u591a\u91cd\u6975\u300d\u9805\u306b\u5206\u89e3\u3059\u308b\u624b\u6cd5\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u9060\u65b9\u306e\u70b9\u3067\u306e\u96fb\u5834\u3084\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092\u52b9\u7387\u7684\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u591a\u91cd\u6975\u5c55\u958b\u306e\u4e00\u822c\u7684\u306a\u5f62\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\n$$<br \/>\nV(\\mathbf{r}) = \\sum_{l=0}^{\\infty} \\sum_{m=-l}^{l} \\frac{4\\pi}{2l+1} q_{lm} \\frac{Y_{lm}(\\theta, \\phi)}{r^{l+1}}<br \/>\n$$\n<\/p>\n<p>\u3053\u3053\u3067\u3001\\( V(\\mathbf{r}) \\) \u306f\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3001\\( q_{lm} \\) \u306f\u591a\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u3001\\( Y_{lm} \\) \u306f\u7403\u9762\u8abf\u548c\u95a2\u6570\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u306e\u5c55\u958b\u306b\u3088\u308a\u3001\u96fb\u8377\u5206\u5e03\u306e\u5404\u6210\u5206\u304c\u3088\u308a\u660e\u78ba\u306b\u306a\u308a\u3001\u89e3\u6790\u304c\u5bb9\u6613\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5177\u4f53\u7684\u306a\u591a\u91cd\u6975\u9805\u306e\u4f8b<\/h2>\n<p>\u591a\u91cd\u6975\u5c55\u958b\u306f\u3001\u4e00\u822c\u7684\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u968e\u5c64\u69cb\u9020\u3092\u6301\u3061\u307e\u3059\uff1a<\/p>\n<ul>\n<li><strong>\u30e2\u30ce\u30dd\u30fc\u30eb\u9805\uff1a<\/strong> \u6700\u3082\u5358\u7d14\u306a\u9805\u3067\u3001\u30b7\u30b9\u30c6\u30e0\u5168\u4f53\u306e\u7dcf\u96fb\u8377\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/li>\n<li><strong>\u30c0\u30a4\u30dd\u30fc\u30eb\u9805\uff1a<\/strong> \u96fb\u8377\u306e\u5206\u5e03\u306e\u975e\u5bfe\u79f0\u6027\u3092\u53cd\u6620\u3057\u3001\u30d9\u30af\u30c8\u30eb\u5834\u3068\u3057\u3066\u8868\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u30af\u30a2\u30c9\u30ea\u30dd\u30fc\u30eb\u9805\uff1a<\/strong> \u30b7\u30b9\u30c6\u30e0\u306e\u56db\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u53cd\u6620\u3057\u3001\u3055\u3089\u306b\u8907\u96d1\u306a\u5206\u5e03\u3092\u793a\u3057\u307e\u3059\u3002<\/li>\n<li><strong>\u305d\u308c\u4ee5\u4e0a\u306e\u9ad8\u6b21\u9805\uff1a<\/strong> \u3088\u308a\u8907\u96d1\u306a\u96fb\u8377\u5206\u5e03\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u3053\u308c\u3089\u306e\u5404\u9805\u306f\u3001\u9060\u65b9\u5834\u3067\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3084\u96fb\u5834\u306e\u632f\u308b\u821e\u3044\u3092\u4e88\u6e2c\u3059\u308b\u305f\u3081\u306b\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n<h2>\u5fdc\u7528\u65b9\u6cd5<\/h2>\n<p>\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u5fdc\u7528\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u305d\u306e\u5177\u4f53\u7684\u306a\u4f8b\u3092\u3044\u304f\u3064\u304b\u6319\u3052\u307e\u3059\u3002<\/p>\n<h3>\u96fb\u5834\u3068\u78c1\u5834\u306e\u89e3\u6790<\/h3>\n<p>\u9759\u96fb\u5834\u3084\u9759\u78c1\u5834\u306e\u89e3\u6790\u306b\u306f\u3001\u591a\u91cd\u6975\u5c55\u958b\u304c\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u8907\u6570\u306e\u96fb\u8377\u304c\u914d\u7f6e\u3055\u308c\u305f\u30b7\u30b9\u30c6\u30e0\u306b\u304a\u3044\u3066\u3001\u9060\u65b9\u3067\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u5206\u5e03\u3092\u89e3\u6790\u3059\u308b\u969b\u306b\u3001\u591a\u91cd\u6975\u5c55\u958b\u3092\u4f7f\u3046\u3053\u3068\u3067\u7c21\u6f54\u306b\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u8907\u96d1\u306a\u96fb\u5834\u3084\u78c1\u5834\u306e\u5206\u5e03\u304c\u76f4\u611f\u7684\u306b\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u5206\u5b50\u7269\u7406\u5b66\u3068\u5316\u5b66<\/h3>\n<p>\u5206\u5b50\u306e\u96fb\u6c17\u7684\u6027\u8cea\u3092\u89e3\u6790\u3059\u308b\u305f\u3081\u306b\u3082\u591a\u91cd\u6975\u5c55\u958b\u304c\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u7279\u306b\u3001\u5206\u5b50\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u969b\u306b\u3001\u5404\u5206\u5b50\u306e\u591a\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u6b63\u78ba\u306a\u76f8\u4e92\u4f5c\u7528\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u30b0\u30e9\u30d3\u30c6\u30a3\u306e\u7814\u7a76<\/h3>\n<p>\u91cd\u529b\u5834\u306e\u89e3\u6790\u306b\u3082\u591a\u91cd\u6975\u5c55\u958b\u304c\u5fdc\u7528\u3055\u308c\u307e\u3059\u3002\u5730\u7403\u3084\u4ed6\u306e\u5929\u4f53\u306e\u8cea\u91cf\u5206\u5e03\u3092\u591a\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u3068\u3057\u3066\u8868\u3057\u3001\u3053\u308c\u3092\u57fa\u306b\u3057\u3066\u9060\u65b9\u3067\u306e\u91cd\u529b\u5834\u3092\u89e3\u6790\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u6b63\u78ba\u306a\u5929\u4f53\u529b\u5b66\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<h2>\u7d50\u8ad6<\/h2>\n<p>\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f\u306f\u3001\u8907\u96d1\u306a\u96fb\u5834\u3084\u78c1\u5834\u3001\u3055\u3089\u306b\u306f\u91cd\u529b\u5834\u3092\u7c21\u6f54\u306b\u89e3\u6790\u3059\u308b\u305f\u3081\u306e\u5f37\u529b\u306a\u30c4\u30fc\u30eb\u3067\u3059\u3002\u30e2\u30ce\u30dd\u30fc\u30eb\u3001\u30c0\u30a4\u30dd\u30fc\u30eb\u3001\u30af\u30a2\u30c9\u30ea\u30dd\u30fc\u30eb\u306a\u3069\u306e\u9805\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u9060\u65b9\u5834\u306e\u632f\u308b\u821e\u3044\u3092\u52b9\u7387\u7684\u306b\u4e88\u6e2c\u3067\u304d\u3001\u591a\u304f\u306e\u79d1\u5b66\u6280\u8853\u5206\u91ce\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u591a\u91cd\u6975\u5c55\u958b\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u96fb\u6c17\u304a\u3088\u3073\u78c1\u6c17\u73fe\u8c61\u3092\u3088\u308a\u6df1\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u57fa\u76e4\u3092\u7bc9\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u591a\u91cd\u6975\u5c55\u958b\u65b9\u7a0b\u5f0f\u3068\u306f\u3001\u96fb\u5834\u3084\u78c1\u5834\u3001\u91cd\u529b\u5834\u306e\u8907\u96d1\u306a\u554f\u984c\u3092\u7c21\u5358\u306b\u3059\u308b\u305f\u3081\u306e\u6570\u5b66\u30c4\u30fc\u30eb\u3067\u3042\u308a\u3001\u9759\u96fb\u5834\u3084\u91cd\u529b\u5834\u306e\u89e3\u6790\u306b\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[96],"tags":[97],"class_list":["post-209322","post","type-post","status-publish","format-standard","hentry","category-96","tag-97","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- 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