{"id":209371,"date":"2024-03-21T14:07:38","date_gmt":"2024-03-21T14:07:38","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%82%af%e3%83%a9%e3%82%a4%e3%83%b3%e3%83%88%e3%83%b3%e3%83%8d%e3%83%aa%e3%83%b3%e3%82%b0%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e5%bf%9c%e7%94%a8\/"},"modified":"2024-05-17T15:11:34","modified_gmt":"2024-05-17T15:11:34","slug":"%e3%82%af%e3%83%a9%e3%82%a4%e3%83%b3%e3%83%88%e3%83%b3%e3%83%8d%e3%83%aa%e3%83%b3%e3%82%b0%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e5%bf%9c%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%82%af%e3%83%a9%e3%82%a4%e3%83%b3%e3%83%88%e3%83%b3%e3%83%8d%e3%83%aa%e3%83%b3%e3%82%b0%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e5%bf%9c%e7%94%a8\/","title":{"rendered":"\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f | \u6982\u8981\u3068\u5fdc\u7528"},"content":{"rendered":"<p class=\"sidekick\">\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u3001\u91cf\u5b50\u529b\u5b66\u3068\u76f8\u5bfe\u8ad6\u3092\u7d71\u5408\u3057\u3001\u9ad8\u901f\u7c92\u5b50\u3084\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u73fe\u8c61\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u91cd\u8981\u306a\u65b9\u7a0b\u5f0f\u3067\u3059\u3002<\/p>\n<h2>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f | \u6982\u8981\u3068\u5fdc\u7528<\/h2>\n<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\uff08Klein-Gordon Equation\uff09\u306f\u3001\u91cf\u5b50\u529b\u5b66\u3068\u76f8\u5bfe\u8ad6\u306e\u5206\u91ce\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3059\u65b9\u7a0b\u5f0f\u3067\u3059\u3002\u3053\u306e\u5f0f\u306f\u3001\u7279\u306b\u76f8\u5bfe\u8ad6\u7684\u7c92\u5b50\u306e\u904b\u52d5\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306e\u6982\u8981\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u308f\u304b\u308a\u3084\u3059\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306e\u6982\u8981<\/h3>\n<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u3001\u30c7\u30a3\u30e9\u30c3\u30af\u65b9\u7a0b\u5f0f\u3068\u4e26\u3093\u3067\u3001\u76f8\u5bfe\u8ad6\u7684\u306a\u7c92\u5b50\u306e\u52d5\u304d\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u57fa\u672c\u7684\u306a\u65b9\u7a0b\u5f0f\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u8cea\u91cf\u3092\u6301\u3064\u30b9\u30ab\u30e9\u30fc\u7c92\u5b50\u306e\u6ce2\u52d5\u95a2\u6570\u3092\u8a18\u8ff0\u3057\u307e\u3059\u3002<\/p>\n<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u4ee5\u4e0b\u306e\u5f62\u3067\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\left(\\frac{\\hbar^2}{c^2} \\frac{\\partial^2}{\\partial t^2} &#8211; \\hbar^2 \\nabla^2 + m^2c^2\\right) \\psi = 0 \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li><em>\\(\\hbar\\)<\/em> \u306f\u30c7\u30a3\u30e9\u30c3\u30af\u5b9a\u6570\uff08\u30d7\u30e9\u30f3\u30af\u5b9a\u6570\u3092\\(2\\pi\\)\u3067\u5272\u3063\u305f\u3082\u306e\uff09<\/li>\n<li><em>c<\/em> \u306f\u5149\u901f<\/li>\n<li><em>m<\/em> \u306f\u7c92\u5b50\u306e\u8cea\u91cf<\/li>\n<li><em>\\(\\psi\\)<\/em> \u306f\u6ce2\u52d5\u95a2\u6570<\/li>\n<li><em>\\(\\nabla^2\\)<\/em> \u306f\u30e9\u30d7\u30e9\u30b9\u6f14\u7b97\u5b50<\/li>\n<\/ul>\n<h3>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306e\u7269\u7406\u7684\u610f\u5473<\/h3>\n<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u3001\u76f8\u5bfe\u8ad6\u7684\u306a\u5834\u5408\u3067\u3082\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f\u3092\u62e1\u5f35\u3057\u305f\u3082\u306e\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u6ce2\u52d5\u529b\u5b66\u3092\u76f8\u5bfe\u6027\u7406\u8ad6\u306b\u9069\u7528\u3059\u308b\u305f\u3081\u306e\u91cd\u8981\u306a\u30b9\u30c6\u30c3\u30d7\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u65b9\u7a0b\u5f0f\u304c\u6271\u3046\u306e\u306f\u3001\u7279\u306b\u9ad8\u901f\u3067\u79fb\u52d5\u3059\u308b\u7c92\u5b50\u3084\u975e\u5e38\u306b\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u7c92\u5b50\u306e\u904b\u52d5\u3067\u3059\u3002\u975e\u76f8\u5bfe\u8ad6\u7684\u306a\u91cf\u5b50\u529b\u5b66\u3067\u306f\u8aac\u660e\u3067\u304d\u306a\u3044\u73fe\u8c61\u3082\u3001\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u6b63\u78ba\u306b\u8a18\u8ff0\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306e\u5fdc\u7528<\/h3>\n<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u3055\u307e\u3056\u307e\u306a\u5fdc\u7528\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u6319\u3052\u307e\u3059\u3002<\/p>\n<h4>\u7d20\u7c92\u5b50\u7269\u7406\u5b66<\/h4>\n<p>\u7d20\u7c92\u5b50\u7269\u7406\u5b66\u3067\u306f\u3001\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u30b9\u30ab\u30e9\u30fc\u5834\u306e\u904b\u52d5\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u30d2\u30c3\u30b0\u30b9\u7c92\u5b50\u306e\u7406\u8ad6\u30e2\u30c7\u30eb\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002<\/p>\n<h4>\u91cf\u5b50\u30d5\u30a3\u30fc\u30eb\u30c9\u7406\u8ad6<\/h4>\n<p>\u91cf\u5b50\u30d5\u30a3\u30fc\u30eb\u30c9\u7406\u8ad6\uff08QFT\uff09\u3067\u306f\u3001\u5834\u306e\u91cf\u5b50\u5316\u306e\u57fa\u790e\u3068\u3057\u3066\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7c92\u5b50\u751f\u6210\u3084\u6d88\u6ec5\u306a\u3069\u306e\u73fe\u8c61\u3092\u6570\u7406\u7684\u306b\u30e2\u30c7\u30eb\u5316\u3067\u304d\u307e\u3059\u3002<\/p>\n<h4>\u5b87\u5b99\u8ad6<\/h4>\n<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u5b87\u5b99\u8ad6\u306b\u3082\u5fdc\u7528\u3055\u308c\u307e\u3059\u3002\u7279\u306b\u30d3\u30c3\u30b0\u30d0\u30f3\u3084\u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb\u3001\u30a4\u30f3\u30d5\u30ec\u30fc\u30b7\u30e7\u30f3\u7406\u8ad6\u306a\u3069\u3001\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u7269\u7406\u5b66\u304c\u95a2\u308f\u308b\u5206\u91ce\u3067\u6d3b\u8e8d\u3057\u307e\u3059\u3002<\/p>\n<h3>\u307e\u3068\u3081<\/h3>\n<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u3001\u91cf\u5b50\u529b\u5b66\u3068\u76f8\u5bfe\u6027\u7406\u8ad6\u3092\u7d71\u5408\u3057\u305f\u91cd\u8981\u306a\u65b9\u7a0b\u5f0f\u3067\u3042\u308a\u3001\u7d20\u7c92\u5b50\u7269\u7406\u5b66\u3084\u91cf\u5b50\u30d5\u30a3\u30fc\u30eb\u30c9\u7406\u8ad6\u3001\u5b87\u5b99\u8ad6\u306a\u3069\u306e\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u76f8\u5bfe\u8ad6\u7684\u306a\u7c92\u5b50\u306e\u904b\u52d5\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u30e2\u30c7\u30eb\u3068\u3057\u3066\u3001\u5e45\u5e83\u3044\u7814\u7a76\u306b\u304a\u3044\u3066\u4e0d\u53ef\u6b20\u306a\u30c4\u30fc\u30eb\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u6df1\u3044\u7269\u7406\u73fe\u8c61\u306e\u89e3\u6790\u304c\u53ef\u80fd\u3068\u306a\u308a\u3001\u79d1\u5b66\u6280\u8853\u306e\u767a\u5c55\u306b\u5bc4\u4e0e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4eca\u5f8c\u3082\u3053\u306e\u65b9\u7a0b\u5f0f\u304c\u65b0\u305f\u306a\u767a\u898b\u3084\u6280\u8853\u9769\u65b0\u306b\u8ca2\u732e\u3059\u308b\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30af\u30e9\u30a4\u30f3\u30c8\u30f3\u30cd\u30ea\u30f3\u30b0\u5f0f\u306f\u3001\u91cf\u5b50\u529b\u5b66\u3068\u76f8\u5bfe\u8ad6\u3092\u7d71\u5408\u3057\u3001\u9ad8\u901f\u7c92\u5b50\u3084\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u73fe\u8c61\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u91cd\u8981\u306a\u65b9\u7a0b\u5f0f\u3067\u3059\u3002<\/p>\n","pr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