{"id":1038,"date":"2026-10-18T19:00:00","date_gmt":"2026-10-18T10:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=1038"},"modified":"2026-10-18T13:44:09","modified_gmt":"2026-10-18T04:44:09","slug":"qs-unitarity-euler-normalization-20261018","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=1038","title":{"rendered":"\u91cf\u5b50\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u30e6\u30cb\u30bf\u30ea\u6027\u3001\u8fd1\u4f3c\u3057\u3066\u3082\u78ba\u7387\u306e\u7dcf\u548c\u3092\u4fdd\u3064\u306b\u306f"},"content":{"rendered":"<p>\u91cf\u5b50\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u8a08\u7b97\u7d50\u679c\u3092\u898b\u3066\u3001\u6e2c\u5b9a\u78ba\u7387\u306e\u5408\u8a08\u304c1\u306b\u306a\u3063\u3066\u3044\u308c\u3070\u5b89\u5fc3\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u9589\u3058\u305f\u91cf\u5b50\u7cfb\u3092\u8fd1\u4f3c\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u3053\u306e\u5408\u8a08\u3092\u4fdd\u3064\u3053\u3068\u306f\u5927\u5207\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u305d\u308c\u3060\u3051\u3067\u76ee\u6a19\u306e\u6642\u9593\u5909\u5316\u3092\u6b63\u3057\u304f\u8ffd\u3048\u3066\u3044\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3053\u306e\u9055\u3044\u3092\u7406\u89e3\u3059\u308b\u9375\u304c\u3001<strong>\u30e6\u30cb\u30bf\u30ea\u6027<\/strong>\u3067\u3059\u3002\u91cf\u5b50\u72b6\u614b\u306e\u5927\u304d\u3055\u3092\u5909\u3048\u305a\u306b\u52d5\u304b\u3059\u6027\u8cea\u3067\u3001\u8fd1\u4f3c\u306b\u4f7f\u3046\u6f14\u7b97\u306e\u5f62\u306b\u3088\u3063\u3066\u3001\u4fdd\u305f\u308c\u308b\u5834\u5408\u3068\u5d29\u308c\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u6307\u6570\u95a2\u6570\u306b\u3088\u308b\u66f4\u65b0\u3068\u3001\u4e00\u6b21\u306e\u9805\u3060\u3051\u3092\u6b8b\u3059\u967d\u7684\u30aa\u30a4\u30e9\u30fc\u6cd5\u3092\u6bd4\u3079\u3001\u300c\u5408\u8a08\u304c1\u300d\u3068\u300c\u7b54\u3048\u304c\u6b63\u78ba\u300d\u3092\u5206\u3051\u3066\u8003\u3048\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref1\">[1]<\/a><\/sup><\/p>\n<section class=\"influvetor-quick-summary\" aria-label=\"\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f\">\n<p><strong>\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f<\/strong><\/p>\n<ul>\n<li>\u30e6\u30cb\u30bf\u30ea\u306a\u6f14\u7b97\u306f\u91cf\u5b50\u72b6\u614b\u306e\u30ce\u30eb\u30e0\u3092\u4fdd\u3061\u307e\u3059\u3002\u6b63\u898f\u5316\u3055\u308c\u305f\u72b6\u614b\u306a\u3089\u3001\u6e2c\u5b9a\u7d50\u679c\u306e\u78ba\u7387\u306e\u5408\u8a08\u30821\u306e\u307e\u307e\u3067\u3059\u3002<\/li>\n<li>\u5b9f\u6642\u9593\u306e\u5909\u5316\u3092\u4e00\u6b21\u306e\u5f0f\u3067\u66f4\u65b0\u3059\u308b\u967d\u7684\u30aa\u30a4\u30e9\u30fc\u6cd5\u306f\u3001\u4e00\u822c\u306b\u3053\u306e\u6027\u8cea\u3092\u4fdd\u3061\u307e\u305b\u3093\u3002\u8a08\u7b97\u5f8c\u306b\u6b63\u898f\u5316\u3057\u3066\u3082\u3001\u72b6\u614b\u304c\u9032\u3080\u5411\u304d\u3084\u89d2\u5ea6\u306e\u8aa4\u5dee\u306f\u6b8b\u308a\u307e\u3059\u3002<\/li>\n<li>\u6307\u6570\u95a2\u6570\u306e\u7a4d\u306f\u6761\u4ef6\u3092\u6e80\u305f\u305b\u3070\u30e6\u30cb\u30bf\u30ea\u6027\u3092\u4fdd\u3061\u307e\u3059\u304c\u3001\u76ee\u6a19\u306e\u6642\u9593\u767a\u5c55\u3068\u4e00\u81f4\u3059\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u30ce\u30eb\u30e0\u3001\u6c42\u3081\u308b\u89b3\u6e2c\u91cf\u3001\u523b\u307f\u3092\u7d30\u304b\u304f\u3057\u305f\u3068\u304d\u306e\u5909\u5316\u3092\u5225\u3005\u306b\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>\u30e6\u30cb\u30bf\u30ea\u6027\u304c\u4fdd\u3064\u306e\u306f\u3001\u72b6\u614b\u306e\u5927\u304d\u3055<\/h2>\n<p>\u91cf\u5b50\u72b6\u614b\u3092\u3001\u8907\u7d20\u6570\u306e\u6210\u5206\u3092\u6301\u3064\u30d9\u30af\u30c8\u30eb\u03c8\u3067\u8868\u3057\u307e\u3059\u3002\u305d\u308c\u305e\u308c\u306e\u6210\u5206\u306e\u7d76\u5bfe\u5024\u3092\u4e8c\u4e57\u3057\u3001\u8db3\u3057\u305f\u3082\u306e\u304c\u30ce\u30eb\u30e0\u306e\u4e8c\u4e57\u3067\u3059\u3002\u72b6\u614b\u3092<strong>\u6b63\u898f\u5316<\/strong>\u3059\u308b\u3068\u306f\u3001\u305d\u306e\u5024\u30921\u306b\u305d\u308d\u3048\u308b\u3053\u3068\u3067\u3059\u3002\u6b63\u898f\u76f4\u4ea4\u3057\u305f\u6e2c\u5b9a\u57fa\u5e95\u3067\u5404\u6210\u5206\u3092\u8aad\u3080\u306a\u3089\u3001\u3053\u306e\u4e8c\u4e57\u306e\u548c\u304c\u6e2c\u5b9a\u78ba\u7387\u306e\u5408\u8a08\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6f14\u7b97U\u304c\u30e6\u30cb\u30bf\u30ea\u3067\u3042\u308b\u6761\u4ef6\u306f <code style=\"overflow-wrap:anywhere;\">U\u2020U=I<\/code> \u3067\u3059\u3002\u2020\u306f\u8907\u7d20\u5171\u5f79\u3092\u53d6\u3063\u3066\u8ee2\u7f6e\u3059\u308b\u64cd\u4f5c\u3001I\u306f\u4f55\u3082\u5909\u3048\u306a\u3044\u5358\u4f4d\u884c\u5217\u3092\u8868\u3057\u307e\u3059\u3002U\u3092\u4f5c\u7528\u3055\u305b\u305f\u5f8c\u306e\u5927\u304d\u3055\u306f <code style=\"overflow-wrap:anywhere;\">(U\u03c8)\u2020(U\u03c8)=\u03c8\u2020U\u2020U\u03c8=\u03c8\u2020\u03c8<\/code> \u3068\u306a\u308a\u3001\u5165\u529b\u3068\u540c\u3058\u3067\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u306f\u3001\u74b0\u5883\u3078\u306e\u6563\u9038\u3092\u542b\u307e\u306a\u3044\u9589\u3058\u305f\u7cfb\u3068\u3001\u6642\u9593\u306b\u4f9d\u5b58\u3057\u306a\u3044\u6709\u9650\u6b21\u5143\u306e\u30a8\u30eb\u30df\u30fc\u30c8\u884c\u5217H\u3092\u6271\u3044\u307e\u3059\u3002H\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u3084\u76f8\u4e92\u4f5c\u7528\u3092\u8868\u3059\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3067\u3001\u30a8\u30eb\u30df\u30fc\u30c8\u3068\u306f <code>H\u2020=H<\/code> \u3068\u3044\u3046\u6027\u8cea\u3067\u3059\u3002\u210f\u30921\u3068\u3059\u308b\u5358\u4f4d\u3067\u306f\u3001\u5b9f\u6642\u9593t\u306e\u6b63\u78ba\u306a\u5909\u5316\u306f <code style=\"overflow-wrap:anywhere;\">U(t)=exp(\u2212iHt)<\/code> \u3067\u3059\u3002H\u304c\u30a8\u30eb\u30df\u30fc\u30c8\u3067t\u304c\u5b9f\u6570\u306a\u3089\u3001\u3053\u306eU\u306f\u30e6\u30cb\u30bf\u30ea\u306b\u306a\u308a\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref1\">[1]<\/a><\/sup><\/p>\n<h2>\u4e00\u6b21\u307e\u3067\u6b8b\u3057\u305f\u66f4\u65b0\u3067\u306f\u3001\u4f55\u304c\u5897\u3048\u308b\u306e\u304b<\/h2>\n<p>\u6307\u6570\u95a2\u6570\u3092\u5c0f\u3055\u306a\u6642\u9593\u523b\u307f\u03b4\u306b\u3064\u3044\u3066\u5c55\u958b\u3057\u3001\u4e00\u6b21\u307e\u3067\u6b8b\u3059\u3068 <code style=\"overflow-wrap:anywhere;\">V(\u03b4)=I\u2212i\u03b4H<\/code> \u3067\u3059\u3002\u3053\u308c\u306f\u30b7\u30e5\u30ec\u30fc\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f\u3092\u967d\u7684\u30aa\u30a4\u30e9\u30fc\u6cd5\u3067\u66f4\u65b0\u3059\u308b\u5f62\u306b\u5f53\u305f\u308a\u307e\u3059\u3002\u5b9f\u88c5\u3057\u3084\u3059\u305d\u3046\u306b\u898b\u3048\u307e\u3059\u304c\u3001\u6307\u6570\u95a2\u6570\u306b\u3042\u3063\u305f\u6027\u8cea\u304c\u3059\u3079\u3066\u6b8b\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>H\u304c\u30a8\u30eb\u30df\u30fc\u30c8\u306a\u3089\u3001\u7a4d\u3092\u76f4\u63a5\u8a08\u7b97\u3057\u3066\u6b21\u306e\u95a2\u4fc2\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p><code style=\"overflow-wrap:anywhere;\">V\u2020V=(I+i\u03b4H)(I\u2212i\u03b4H)=I+\u03b4\u00b2H\u00b2<\/code><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u66f4\u65b0\u5f8c\u306e\u30ce\u30eb\u30e0\u306e\u4e8c\u4e57\u306f <code style=\"overflow-wrap:anywhere;\">\u2016V\u03c8\u2016\u00b2=\u2016\u03c8\u2016\u00b2+\u03b4\u00b2\u2016H\u03c8\u2016\u00b2<\/code> \u3067\u3059\u3002\u03b4\u304c0\u3067\u306a\u304fH\u03c8\u30820\u3067\u306a\u3051\u308c\u3070\u3001\u5927\u304d\u3055\u304c\u5897\u3048\u307e\u3059\u3002\u523b\u307f\u304c\u5c0f\u3055\u3044\u30681\u56de\u306e\u5897\u52a0\u306f\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u304c\u3001\u30e6\u30cb\u30bf\u30ea\u306a\u66f4\u65b0\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u5f0f\u306f\u3001\u4e0a\u306e\u6761\u4ef6\u304b\u3089\u884c\u3063\u305f\u76f4\u63a5\u306e\u4ee3\u6570\u8a08\u7b97\u3067\u3059\u3002<\/p>\n<p>\u5897\u3048\u305f\u6210\u5206\u306e\u4e8c\u4e57\u3092\u3001\u305d\u306e\u307e\u307e\u7269\u7406\u7684\u306a\u78ba\u7387\u3068\u547c\u3076\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u300c\u5b9f\u9a13\u3067\u5168\u78ba\u7387\u304c1\u3092\u8d85\u3048\u305f\u300d\u306e\u3067\u306f\u306a\u304f\u3001\u8a08\u7b97\u306b\u4f7f\u3063\u305f\u8fd1\u4f3c\u30d9\u30af\u30c8\u30eb\u304c\u6b63\u898f\u5316\u3055\u308c\u305f\u72b6\u614b\u304b\u3089\u5916\u308c\u305f\u3001\u3068\u3044\u3046\u554f\u984c\u3067\u3059\u3002Hatano\u3068Suzuki\u306e\u89e3\u8aac\u3082\u3001\u6307\u6570\u95a2\u6570\u306e\u7a4d\u3068\u4e00\u6b21\u306e\u8fd1\u4f3c\u3092\u6bd4\u8f03\u3057\u3001\u30ce\u30eb\u30e0\u4fdd\u5b58\u306e\u9055\u3044\u3092\u6307\u6458\u3057\u3066\u3044\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref1\">[1]<\/a><\/sup><\/p>\n<h2>1\u91cf\u5b50\u30d3\u30c3\u30c8\u3067\u3001\u523b\u307f\u3092\u5909\u3048\u3066\u6bd4\u3079\u308b<\/h2>\n<p>\u9055\u3044\u3092\u898b\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u30d1\u30a6\u30eaX\u884c\u5217 <code style=\"overflow-wrap:anywhere;\">X=[[0,1],[1,0]]<\/code>\u3001\u521d\u671f\u72b6\u614b\u3092 <code>|0\u27e9<\/code>\u3001\u5168\u6642\u9593\u3092 <code>t=1<\/code> \u3068\u3057\u307e\u3059\u3002X\u306f0\u30681\u3092\u4ea4\u63db\u3059\u308b\u884c\u5217\u3067\u3001X\u00b2=I\u3067\u3059\u3002\u3053\u3053\u3067\u306e\u6642\u9593\u306f\u4fc2\u6570\u30921\u3068\u3057\u305f\u6a21\u578b\u306e\u5358\u4f4d\u3067\u3042\u308a\u3001\u91cf\u5b50\u88c5\u7f6e\u3092\u52d5\u304b\u3059\u79d2\u6570\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u6b63\u78ba\u306a\u72b6\u614b\u306f <code style=\"overflow-wrap:anywhere;\">cos(1)|0\u27e9\u2212i sin(1)|1\u27e9<\/code> \u306a\u306e\u3067\u30011\u3092\u6e2c\u308b\u78ba\u7387\u306f <code style=\"overflow-wrap:anywhere;\">sin\u00b2(1)\u22480.708073<\/code> \u3067\u3059\u3002\u3053\u306e\u6a21\u578b\u306f\u6b63\u78ba\u306b\u89e3\u3051\u308b\u305f\u3081\u3001\u8fd1\u4f3c\u306e\u305a\u308c\u3092\u78ba\u304b\u3081\u308b\u57fa\u6e96\u306b\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u5168\u6642\u9593\u3092K\u5206\u5272\u3057\u3066 <code>\u03b4=1\/K<\/code> \u3068\u3057\u3001V\u3092K\u56de\u9069\u7528\u3059\u308b\u3068\u3001\u6b63\u898f\u5316\u524d\u306e\u30ce\u30eb\u30e0\u306e\u4e8c\u4e57\u306f <code style=\"overflow-wrap:anywhere;\">(1+1\/K\u00b2)\u1d37<\/code> \u306b\u306a\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u300c1\u306e\u78ba\u7387\u300d\u306f\u3001\u6700\u5f8c\u306b\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3057\u3066\u304b\u3089\u8a08\u7b97\u3057\u305f\u5024\u3067\u3059\u3002\u6b63\u898f\u5316\u524d\u306e\u5927\u304d\u3055\u3068\u6df7\u540c\u3057\u306a\u3044\u3088\u3046\u3001\u5217\u3092\u5206\u3051\u3066\u3044\u307e\u3059\u3002<\/p>\n<div style=\"overflow-x:auto;max-width:100%;\">\n<table style=\"min-width:620px;\">\n<caption>\u88681\u3000\u540c\u3058H=X\u3001\u521d\u671f\u72b6\u614b|0\u27e9\u3001\u5168\u6642\u9593t=1\u3067\u306e\u72ec\u81ea\u8a08\u7b97\u3002\u5c0f\u6570\u306f6\u6841\u306b\u4e38\u3081\u305f\u5024\u3002<\/caption>\n<thead>\n<tr>\n<th scope=\"col\">\u5206\u5272\u6570K<\/th>\n<th scope=\"col\">\u6b63\u898f\u5316\u524d\u306e\u30ce\u30eb\u30e0\u00b2<\/th>\n<th scope=\"col\">\u6b63\u898f\u5316\u5f8c\u306e1\u306e\u78ba\u7387<\/th>\n<th scope=\"col\">\u6b63\u78ba\u306a\u5024\u3068\u306e\u78ba\u7387\u5dee\u306e\u7d76\u5bfe\u5024<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<th scope=\"row\">1<\/th>\n<td>2.000000<\/td>\n<td>0.500000<\/td>\n<td>0.208073<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">2<\/th>\n<td>1.562500<\/td>\n<td>0.640000<\/td>\n<td>0.068073<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">4<\/th>\n<td>1.274429<\/td>\n<td>0.689647<\/td>\n<td>0.018427<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">8<\/th>\n<td>1.132054<\/td>\n<td>0.703370<\/td>\n<td>0.004703<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">16<\/th>\n<td>1.064365<\/td>\n<td>0.706892<\/td>\n<td>0.001182<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">\u6b63\u78ba\u306a\u6307\u6570\u95a2\u6570<\/th>\n<td>1.000000<\/td>\n<td>0.708073<\/td>\n<td>0.000000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u72ed\u3044\u753b\u9762\u3067\u306f\u8868\u3092\u6a2a\u306b\u30b9\u30af\u30ed\u30fc\u30eb\u3067\u304d\u307e\u3059\u3002K=1\u3067\u306f\u3001\u6b63\u898f\u5316\u524d\u306e\u30ce\u30eb\u30e0\u306e\u4e8c\u4e57\u306f2\u3067\u3059\u3002\u3053\u308c\u3092\u6b63\u898f\u5316\u3059\u308b\u3068\u5408\u8a08\u306f1\u306b\u306a\u308a\u307e\u3059\u304c\u30011\u3092\u6e2c\u308b\u78ba\u7387\u306f0.5\u306b\u3057\u304b\u306a\u308a\u307e\u305b\u3093\u3002\u6b63\u78ba\u306a\u5024\u306e\u7d040.708\u3068\u306f\u9055\u3044\u307e\u3059\u3002<\/p>\n<figure><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-unitarity-euler-normalization-20261018-norm-and-direction-diagram-9e4363d8d348.png\" alt=\"\u5206\u5272\u65701\u30012\u30014\u30018\u300116\u306b\u5bfe\u3059\u308b\u3001\u30aa\u30a4\u30e9\u30fc\u8fd1\u4f3c\u306e\u6b63\u898f\u5316\u524d\u306e\u30ce\u30eb\u30e0\u306e\u4e8c\u4e57\u3068\u6b63\u898f\u5316\u5f8c\u306e1\u306e\u78ba\u7387\u3002\u523b\u307f\u3092\u7d30\u304b\u304f\u3059\u308b\u3068\u4e21\u65b9\u304c\u57fa\u6e96\u3078\u8fd1\u3065\u304f\u304c\u3001\u6b63\u898f\u5316\u3060\u3051\u3067\u306f\u78ba\u7387\u306e\u8aa4\u5dee\u306f\u6d88\u3048\u306a\u3044\u3002\" width=\"1200\" height=\"1050\" style=\"max-width:100%;height:auto;\"><figcaption>\u56f31\u3000\u88681\u3068\u540c\u3058\u6a21\u578b\u304b\u3089\u4f5c\u6210\u3002\u4e0a\u6bb5\u306f\u6b63\u898f\u5316\u524d\u306e\u5927\u304d\u3055\u3001\u4e0b\u6bb5\u306f\u6b63\u898f\u5316\u5f8c\u306e\u6e2c\u5b9a\u78ba\u7387\u3002\u7834\u7dda\u306f\u6b63\u78ba\u306a\u6307\u6570\u95a2\u6570\u306e\u7d50\u679c\u3067\u3001\u5b9f\u6a5f\u306e\u6e2c\u5b9a\u5024\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/figcaption><\/figure>\n<h2>\u6b63\u898f\u5316\u3067\u76f4\u305b\u308b\u5927\u304d\u3055\u3068\u3001\u76f4\u305b\u306a\u3044\u5411\u304d<\/h2>\n<p>\u3053\u306e\u6a21\u578b\u3067\u306f\u30011\u56de\u306e\u66f4\u65b0\u3092 <code style=\"overflow-wrap:anywhere;\">I\u2212i\u03b4X=\u221a(1+\u03b4\u00b2) exp(\u2212i arctan(\u03b4)X)<\/code> \u3068\u66f8\u3051\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b63\u3057\u3044\u5f62\u306e\u56de\u8ee2\u306b\u3001\u5927\u304d\u3055\u3092\u5897\u3084\u3059\u4fc2\u6570\u304c\u4ed8\u3044\u305f\u6f14\u7b97\u3067\u3059\u3002arctan\u306f\u6b63\u63a5\u306e\u9006\u95a2\u6570\u3067\u3001\u89d2\u5ea6\u306f\u30e9\u30b8\u30a2\u30f3\u3067\u3059\u3002<\/p>\n<p>\u6b63\u898f\u5316\u306f\u524d\u306e\u4fc2\u6570\u3092\u53d6\u308a\u9664\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u3001K\u56de\u5f8c\u306e\u72b6\u614b\u3092\u6c7a\u3081\u308b\u89d2\u5ea6\u306f <code style=\"overflow-wrap:anywhere;\">K arctan(1\/K)<\/code> \u306e\u307e\u307e\u3067\u3001\u76ee\u6a19\u306e1\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002K=1\u306a\u3089\u03c0\/4\u3001\u7d040.7854\u3067\u3059\u3002<strong>\u5927\u304d\u3055\u3092\u305d\u308d\u3048\u308b\u64cd\u4f5c\u306f\u3001\u9032\u307f\u3059\u304e\u30fb\u9032\u307f\u8db3\u308a\u306a\u3055\u3092\u4fee\u6b63\u3059\u308b\u64cd\u4f5c\u3068\u306f\u9055\u3046<\/strong>\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u56fa\u5b9a\u3057\u305f\u7dda\u5f62\u306e\u66f4\u65b0V\u3092\u4f7f\u3046\u5834\u5408\u3001\u6bce\u56de\u6b63\u898f\u5316\u3057\u3066\u3082\u3001\u6700\u5f8c\u306b\u4e00\u5ea6\u6b63\u898f\u5316\u3057\u3066\u3082\u3001\u6700\u7d42\u72b6\u614b\u306e\u65b9\u5411\u306f\u540c\u3058\u3067\u3059\u3002\u9014\u4e2d\u3067\u639b\u3051\u305f\u5b9f\u6570\u306e\u4fc2\u6570\u306f\u3001\u6700\u5f8c\u306e\u6b63\u898f\u5316\u3067\u76f8\u6bba\u3055\u308c\u308b\u305f\u3081\u3067\u3059\u3002\u3053\u308c\u306fH=X\u306b\u9650\u308a\u307e\u305b\u3093\u3002\u4e00\u65b9\u3001H=X\u3067\u7279\u5225\u306a\u306e\u306f\u3001\u66f4\u65b0\u306b\u3088\u308b\u5897\u52a0\u4fc2\u6570\u304c\u3069\u306e\u5165\u529b\u72b6\u614b\u306b\u3082\u5171\u901a\u306a\u3053\u3068\u3067\u3059\u3002\u4e00\u822c\u306eH\u3067\u306f\u3001\u56fa\u6709\u5024\u306e\u9055\u3044\u306b\u5fdc\u3058\u3066\u6210\u5206\u306e\u5897\u5e45\u7387\u3082\u7570\u306a\u308a\u5f97\u308b\u305f\u3081\u3001\u6b63\u898f\u5316\u5f8c\u306e\u65b9\u5411\u3082\u6b63\u78ba\u306a\u767a\u5c55\u304b\u3089\u305a\u308c\u307e\u3059\u3002\u300c\u6bce\u56de\u6b63\u898f\u5316\u3059\u308c\u3070\u3001\u3053\u306e\u305a\u308c\u3092\u9632\u3052\u308b\u300d\u3068\u306f\u8a00\u3048\u307e\u305b\u3093\u3002<\/p>\n<p>K\u3092\u5897\u3084\u3059\u3068\u8868\u306e\u5024\u306f\u57fa\u6e96\u3078\u8fd1\u3065\u304d\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u306e\u7279\u5225\u306a\u6a21\u578b\u306e\u53ce\u675f\u306e\u901f\u3055\u3084\u5358\u8abf\u306a\u5909\u5316\u3092\u3001\u30aa\u30a4\u30e9\u30fc\u6cd5\u306b\u3088\u308b\u3059\u3079\u3066\u306e\u91cf\u5b50\u8a08\u7b97\u306e\u6027\u8cea\u3068\u306f\u898b\u306a\u3057\u307e\u305b\u3093\u3002<\/p>\n<h2>\u6307\u6570\u95a2\u6570\u306e\u7a4d\u306a\u3089\u3001\u8fd1\u4f3c\u3067\u3082\u30e6\u30cb\u30bf\u30ea\u6027\u3092\u4fdd\u3066\u308b<\/h2>\n<p>\u5927\u304d\u306a\u554f\u984c\u3067\u306fH\u5168\u4f53\u306e\u6307\u6570\u95a2\u6570\u3092\u76f4\u63a5\u6271\u3046\u3053\u3068\u304c\u96e3\u3057\u304f\u3001H\u3092\u8907\u6570\u306e\u9805\u306b\u5206\u3051\u308b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u5404\u9805\u304c\u30a8\u30eb\u30df\u30fc\u30c8\u3067\u3001\u5404\u9805\u306b\u639b\u3051\u308b\u6642\u9593\u3084\u4fc2\u6570\u304c\u5b9f\u6570\u306a\u3089\u3001\u305d\u308c\u305e\u308c\u306e\u6307\u6570\u95a2\u6570\u306f\u30e6\u30cb\u30bf\u30ea\u3067\u3059\u3002\u305d\u306e\u7a4d\u3082\u30e6\u30cb\u30bf\u30ea\u306a\u306e\u3067\u3001\u30c8\u30ed\u30c3\u30bf\u30fc\u5206\u89e3\u306e\u3088\u3046\u306b\u6307\u6570\u95a2\u6570\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u8fd1\u4f3c\u306f\u3001\u7406\u60f3\u7684\u306a\u6f14\u7b97\u3067\u306f\u30ce\u30eb\u30e0\u3092\u4fdd\u3061\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref1\">[1]<\/a><\/sup><\/p>\n<p>\u305f\u3060\u3057\u3001\u5206\u3051\u305f\u9805\u304c\u4e92\u3044\u306b\u53ef\u63db\u3067\u306a\u3051\u308c\u3070\u3001\u305d\u306e\u7a4d\u306f\u4e00\u822c\u306b\u76ee\u6a19\u306e\u6307\u6570\u95a2\u6570\u3068\u4e00\u81f4\u3057\u307e\u305b\u3093\u3002\u9577\u3055\u3092\u5909\u3048\u305a\u306b\u56de\u3057\u305f\u3068\u3057\u3066\u3082\u3001\u56de\u3057\u305f\u5411\u304d\u3084\u89d2\u5ea6\u304c\u76ee\u6a19\u3068\u9055\u3046\u53ef\u80fd\u6027\u306f\u6b8b\u308a\u307e\u3059\u3002\u30ce\u30eb\u30e0\u304c\u4fdd\u5b58\u3055\u308c\u308b\u3053\u3068\u304b\u3089\u3001\u76ee\u6a19\u306e\u72b6\u614b\u3001\u89b3\u6e2c\u91cf\u3001\u5143\u306eH\u306b\u5bfe\u3059\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u307e\u3067\u6b63\u78ba\u3060\u3068\u306f\u7d50\u8ad6\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u3001\u300c\u30e6\u30cb\u30bf\u30ea\u6027\u3092\u4fdd\u3064\u300d\u3068\u3044\u3046\u8aac\u660e\u306f\u3001\u6307\u6570\u95a2\u6570\u306e\u56e0\u5b50\u3092\u6b63\u78ba\u306b\u6271\u3046\u6570\u5b66\u4e0a\u306e\u6027\u8cea\u3067\u3059\u3002\u53e4\u5178\u8a08\u7b97\u306e\u4e38\u3081\u8aa4\u5dee\u3084\u3001\u5b9f\u6a5f\u306e\u96d1\u97f3\u30fb\u5236\u5fa1\u8aa4\u5dee\u307e\u3067\u6d88\u3048\u308b\u3068\u3044\u3046\u610f\u5473\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4eca\u56de\u306eH=X\u306f\u5358\u4e00\u306e\u9805\u306a\u306e\u3067\u3001\u5206\u89e3\u3059\u308b\u5fc5\u8981\u306e\u306a\u3044\u8aac\u660e\u7528\u306e\u6a21\u578b\u3067\u3059\u3002\u8868\u306f\u30aa\u30a4\u30e9\u30fc\u66f4\u65b0\u306e\u554f\u984c\u3092\u5207\u308a\u5206\u3051\u308b\u3082\u306e\u3067\u3001\u30c8\u30ed\u30c3\u30bf\u30fc\u6cd5\u3068\u5b9f\u88c5\u8cbb\u7528\u3092\u7af6\u308f\u305b\u305f\u8a66\u9a13\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h2>\u8fd1\u4f3c\u3092\u9078\u3076\u3068\u304d\u306f\u3001\u4fdd\u5b58\u3068\u7cbe\u5ea6\u3092\u5206\u3051\u3066\u78ba\u8a8d\u3059\u308b<\/h2>\n<p>\u8a08\u7b97\u65b9\u6cd5\u3092\u6bd4\u8f03\u3059\u308b\u969b\u306f\u3001\u307e\u305a\u3001\u9589\u3058\u305f\u7cfb\u306e\u5b9f\u6642\u9593\u767a\u5c55\u3092\u6271\u3063\u3066\u3044\u308b\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u305d\u306e\u3046\u3048\u3067\u3001\u6b63\u898f\u5316\u524d\u306e\u30ce\u30eb\u30e0\u3092\u8a18\u9332\u3057\u3001\u6b63\u898f\u5316\u3067\u5897\u6e1b\u3092\u96a0\u3057\u3066\u3044\u306a\u3044\u304b\u3092\u8abf\u3079\u307e\u3059\u3002\u6b21\u306b\u3001\u5fc5\u8981\u306a\u6e2c\u5b9a\u78ba\u7387\u3084\u671f\u5f85\u5024\u306b\u3064\u3044\u3066\u3001\u6b63\u78ba\u306b\u89e3\u3051\u308b\u5c0f\u3055\u306a\u4f8b\u3084\u3001\u3088\u308a\u7d30\u304b\u3044\u6642\u9593\u523b\u307f\u306e\u7d50\u679c\u3068\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u4e8c\u6bb5\u968e\u306b\u306f\u5225\u3005\u306e\u5f79\u5272\u304c\u3042\u308a\u307e\u3059\u3002\u30ce\u30eb\u30e0\u306e\u691c\u67fb\u306f\u3001\u66f4\u65b0\u304c\u72b6\u614b\u306e\u5927\u304d\u3055\u3092\u3069\u3046\u6271\u3046\u304b\u3092\u898b\u308b\u3082\u306e\u3067\u3059\u3002\u523b\u307f\u3092\u5909\u3048\u305f\u6bd4\u8f03\u306f\u3001\u6c42\u3081\u308b\u7b54\u3048\u304c\u3069\u308c\u307b\u3069\u5b89\u5b9a\u3057\u3066\u3044\u308b\u304b\u3092\u898b\u308b\u3082\u306e\u3067\u3059\u3002\u5f8c\u8005\u3082\u4e00\u3064\u306e\u89b3\u6e2c\u91cf\u3060\u3051\u306a\u3089\u72b6\u614b\u5168\u4f53\u3092\u4fdd\u8a3c\u3057\u306a\u3044\u305f\u3081\u3001\u76ee\u7684\u306b\u5408\u3046\u6bd4\u8f03\u5bfe\u8c61\u3092\u9078\u3073\u307e\u3059\u3002<\/p>\n<p>\u672c\u7a3f\u306f\u967d\u7684\u30aa\u30a4\u30e9\u30fc\u6cd5\u3068\u30e6\u30cb\u30bf\u30ea\u306a\u6307\u6570\u6f14\u7b97\u306e\u9055\u3044\u3092\u8aac\u660e\u3057\u305f\u3082\u306e\u3067\u3001\u3059\u3079\u3066\u306e\u6570\u5024\u7a4d\u5206\u6cd5\u3092\u8a55\u4fa1\u3057\u305f\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u74b0\u5883\u3068\u306e\u6563\u9038\u3092\u542b\u3080\u958b\u653e\u7cfb\u3084\u3001\u5b9f\u6642\u9593\u3067\u306f\u306a\u3044\u865a\u6642\u9593\u767a\u5c55\u3067\u306f\u3001\u5fc5\u8981\u306a\u4fdd\u5b58\u6761\u4ef6\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u305d\u3046\u3057\u305f\u8a08\u7b97\u3078\u3001\u9589\u3058\u305f\u7cfb\u306e\u7d14\u7c8b\u72b6\u614b\u306b\u5bfe\u3059\u308b\u30e6\u30cb\u30bf\u30ea\u6027\u3060\u3051\u3092\u5408\u5426\u57fa\u6e96\u3068\u3057\u3066\u6301\u3061\u8fbc\u3080\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<h2>\u51fa\u5178<\/h2>\n<ol>\n<li id=\"ref1\">Naomichi Hatano and Masuo Suzuki, <a href=\"https:\/\/arxiv.org\/abs\/math-ph\/0506007v1\">Finding Exponential Product Formulas of Higher Orders<\/a>, arXiv:math-ph\/0506007v1\uff082005\u5e746\u67082\u65e5\uff09\u3002\u7b2c2\u7bc0\u3001\u5f0f(22)\u30fb(23)\u3068\u7b2c2.1\u7bc0\u3002\u6307\u6570\u7a4d\u306b\u3088\u308b\u8fd1\u4f3c\u306e\u30ce\u30eb\u30e0\u4fdd\u5b58\u3068\u4e00\u6b21\u8fd1\u4f3c\u306e\u5bfe\u6bd4\u3092\u53c2\u7167\u3002\u88681\u30fb\u56f31\u3068H=X\u306e\u6570\u5024\u4f8b\u306f\u3001\u672c\u7a3f\u306e\u6761\u4ef6\u3067\u884c\u3063\u305f\u72ec\u81ea\u306e\u8a08\u7b97\u3067\u3059\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u91cf\u5b50\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u8a08\u7b97\u7d50\u679c\u3092\u898b\u3066\u3001\u6e2c\u5b9a\u78ba\u7387\u306e\u5408\u8a08\u304c1\u306b\u306a\u3063\u3066\u3044\u308c\u3070\u5b89\u5fc3\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u9589\u3058\u305f\u91cf\u5b50\u7cfb\u3092\u8fd1\u4f3c\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u3053\u306e\u5408\u8a08\u3092\u4fdd\u3064\u3053\u3068\u306f\u5927\u5207\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u305d\u308c\u3060\u3051\u3067\u76ee\u6a19\u306e\u6642\u9593\u5909\u5316\u3092\u6b63\u3057\u304f\u8ffd\u3048\u3066\u3044\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002 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