{"id":209336,"date":"2024-03-21T14:07:25","date_gmt":"2024-03-21T14:07:25","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%83%96%e3%83%ad%e3%83%83%e3%83%9b%e3%81%ae%e5%ae%9a%e7%90%86-%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%a8%e5%bf%9c%e7%94%a8%e8%a7%a3%e8%aa%ac\/"},"modified":"2024-05-17T15:10:46","modified_gmt":"2024-05-17T15:10:46","slug":"%e3%83%96%e3%83%ad%e3%83%83%e3%83%9b%e3%81%ae%e5%ae%9a%e7%90%86-%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%a8%e5%bf%9c%e7%94%a8%e8%a7%a3%e8%aa%ac","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%83%96%e3%83%ad%e3%83%83%e3%83%9b%e3%81%ae%e5%ae%9a%e7%90%86-%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%a8%e5%bf%9c%e7%94%a8%e8%a7%a3%e8%aa%ac\/","title":{"rendered":"\u30d6\u30ed\u30c3\u30db\u306e\u5b9a\u7406 | \u65b9\u7a0b\u5f0f\u3068\u5fdc\u7528\u89e3\u8aac"},"content":{"rendered":"<p class=\"sidekick\">\u30d6\u30ed\u30c3\u30db\u306e\u5b9a\u7406\u306f\u3001\u91cf\u5b50\u529b\u5b66\u3068\u7d50\u6676\u56fa\u4f53\u7269\u7406\u5b66\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3001\u96fb\u5b50\u306e\u6ce2\u52d5\u95a2\u6570\u306e\u5468\u671f\u6027\u3092\u8aac\u660e\u3059\u308b\u5b9a\u7406\u3067\u3059\u3002<\/p>\n<h2>\u30d6\u30ed\u30c3\u30db\u306e\u5b9a\u7406 | \u65b9\u7a0b\u5f0f\u3068\u5fdc\u7528\u89e3\u8aac<\/h2>\n<p>\u30d6\u30ed\u30c3\u30db\u306e\u5b9a\u7406\u306f\u3001\u91cf\u5b50\u529b\u5b66\u306e\u7d50\u6676\u56fa\u4f53\u7269\u7406\u5b66\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u3053\u306e\u5b9a\u7406\u306f\u3001\u5468\u671f\u7684\u306a\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092\u6301\u3064\u7d50\u6676\u4e2d\u306e\u96fb\u5b50\u6ce2\u52d5\u95a2\u6570\u306e\u6027\u8cea\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30d6\u30ed\u30c3\u30db\u306e\u5b9a\u7406\u306e\u6982\u8981<\/h3>\n<p>\u30d6\u30ed\u30c3\u30db\u306e\u5b9a\u7406\u306b\u3088\u308c\u3070\u3001\u5468\u671f\u7684\u306a\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb \\( V(\\mathbf{r}) \\) \u306e\u4e2d\u3092\u79fb\u52d5\u3059\u308b\u96fb\u5b50\u306e\u6ce2\u52d5\u95a2\u6570 \\( \\psi(\\mathbf{r}) \\) \u306f\u3001\u6b21\u306e\u5f62\u5f0f\u3067\u8a18\u8ff0\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\">\n\\[ \\psi(\\mathbf{r}) = e^{i\\mathbf{k} \\cdot \\mathbf{r}} u(\\mathbf{r}) \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( \\mathbf{k} \\) \u306f\u6ce2\u6570\u30d9\u30af\u30c8\u30eb\u3002<\/li>\n<li>\\( u(\\mathbf{r}) \\) \u306f\u7d50\u6676\u306e\u5468\u671f\u3068\u540c\u3058\u5468\u671f\u6027\u3092\u6301\u3064\u95a2\u6570\u3002<\/li>\n<\/ul>\n<h3>\u65b9\u7a0b\u5f0f\u306e\u8a73\u7d30<\/h3>\n<p>\u30d6\u30ed\u30c3\u30db\u306e\u5b9a\u7406\u306e\u57fa\u790e\u306b\u3042\u308b\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n<p style=\"text-align: center;\">\n\\[ \\left( -\\frac{\\hbar^2}{2m} \\nabla^2 + V(\\mathbf{r}) \\right) \\psi(\\mathbf{r}) = E\\psi(\\mathbf{r}) \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( \\hbar \\) \u306f\u30d7\u30e9\u30f3\u30af\u5b9a\u6570\u3002<\/li>\n<li>\\( m \\) \u306f\u96fb\u5b50\u306e\u8cea\u91cf\u3002<\/li>\n<li>\\( E \\) \u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u56fa\u6709\u5024\u3002<\/li>\n<\/ul>\n<p>\u3053\u306e\u65b9\u7a0b\u5f0f\u3092\u7528\u3044\u3066\u3001\u6ce2\u52d5\u95a2\u6570 \\( \\psi(\\mathbf{r}) \\) \u304c\u6c42\u3081\u3089\u308c\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb \\( V(\\mathbf{r}) \\) \u304c\u5468\u671f\u7684\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u3001\u95a2\u6570 \\( u(\\mathbf{r}) \\) 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