{"id":28822,"date":"2024-01-09T13:21:28","date_gmt":"2024-01-09T13:21:28","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%AA%E3%82%B8%E3%83%83%E3%83%89%E3%83%AD%E3%83%BC%E3%83%86%E3%83%BC%E3%82%BF%E3%83%BC%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-01-09T13:21:28","modified_gmt":"2024-01-09T13:21:28","slug":"%E3%83%AA%E3%82%B8%E3%83%83%E3%83%89%E3%83%AD%E3%83%BC%E3%83%86%E3%83%BC%E3%82%BF%E3%83%BC%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=28822","title":{"rendered":"\u30ea\u30b8\u30c3\u30c9\u30ed\u30fc\u30c6\u30fc\u30bf\u30fc\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"

\u5c0e\u5165<\/h2>

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\n\"\u30ea\u30b8\u30c3\u30c9\u30ed\u30fc\u30c6\u30fc\u30bf\u30fc\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u30ea\u30cb\u30a2\u30ed\u30fc\u30c6\u30fc\u30bf<\/h2>

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\n\"\u30ea\u30b8\u30c3\u30c9\u30ed\u30fc\u30c6\u30fc\u30bf\u30fc\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

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$$ {\\mu = \\frac{m_1m_2}{m_1+m_2}} $$<\/div> \uff09\u76f8\u4e92\u306b\u8ddd\u96e2R \u306e<\/i><\/span>\u4f4d\u7f6e\u306b\u3042\u308a\u307e\u3059\u3002 R<\/i><\/span>\u304c\u6642\u9593<\/a><\/span>\u306b\u4f9d\u5b58\u3057\u306a\u3044\u5834\u5408\u3001\u56de\u8ee2\u5b50\u306f\u525b\u4f53\u3067\u3059\u3002\u525b\u4f53\u7dda\u5f62\u56de\u8ee2\u5b50\u306e\u904b\u52d5\u5b66<\/a><\/span>\u306f\u901a\u5e38\u3001\u7403\u9762\u5ea7\u6a19<\/a><\/span>\u3092\u4f7f\u7528\u3057\u3066\u8a18\u8ff0\u3055\u308c\u3001\u6b21\u306e\u3088\u3046\u306a\u5ea7\u6a19\u7cfb\u3092<\/a><\/span>\u5f62\u6210\u3057\u307e\u3059<\/a><\/span>\u3002
$$ {\\mathbb{R}^3} $$<\/div> \u3002\u7269\u7406\u5b66\u306e\u6163\u4f8b\u3067\u306f\u3001\u5ea7\u6a19\u306f\u7def\u5ea6 (\u5929\u9802) \u306e\u89d2\u5ea6\u3067\u3059\u3002
$$ {\\theta \\,} $$<\/div> \u3001\u65b9\u4f4d\u89d2\u307e\u305f\u306f\u7d4c\u5ea6\u89d2
$$ {\\varphi\\,} $$<\/div>\u305d\u3057\u3066\u8ddd\u96e2R\u3002<\/i><\/span>\u89d2\u5ea6\u306f\u3001\u7a7a\u9593\u5185\u3067\u306e\u56de\u8ee2\u5b50\u306e\u65b9\u5411\u3092\u793a\u3057\u307e\u3059\u3002\u525b\u4f53\u7dda\u5f62\u56de\u8ee2\u5b50\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span>T \u306f<\/i><\/span>\u6b21\u306e\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u307e\u3059<\/span>\u3002 <\/p>
$$ { 2T = \\mu R^2\\big [\\dot{\\theta}^2+(\\dot\\varphi\\,\\sin\\theta)^2\\big]= \\mu R^2 \\big(\\dot{\\theta}\\;\\; \\dot{\\varphi} \\Big) \\begin{pmatrix} 1 & 0 \\\\ 0 & \\sin^2 \\theta \\\\ \\end{pmatrix} \\begin{pmatrix} \\dot{\\theta}\\\\ \\dot{\\varphi} \\end{pmatrix} = \\mu \\Big(\\dot{\\theta}\\;\\; \\dot{\\varphi} \\Big) \\begin{pmatrix} h_\\theta^2 & 0 \\\\ 0 & h_\\varphi^2 \\\\ \\end{pmatrix} \\begin{pmatrix} \\dot{\\theta}\\\\ \\dot{\\varphi} \\end{pmatrix}, } $$<\/div><\/dd><\/dl>

\u307e\u305f\u306f

$$ {h_\\theta = R\\, } $$<\/div>\u305d\u3057\u3066
$$ {h_\\varphi= R\\sin\\theta\\,} $$<\/div>\u306f\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0 (\u307e\u305f\u306f\u30e9\u30e1) \u4fc2\u6570\u3067\u3059\u3002<\/p>

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$$ { \\nabla^2 = \\frac{1}{h_\\theta h_\\varphi}\\left[ \\frac{\\partial}{\\partial \\theta} \\frac{h_\\varphi}{h_\\theta} \\frac{\\partial}{\\partial \\theta} +\\frac{\\partial}{\\partial \\varphi} \\frac{h_\\theta}{h_\\varphi} \\frac{\\partial}{\\partial \\varphi} \\right]= \\frac{1}{R^2}\\left[\\frac{1}{\\sin\\theta} \\frac{\\partial}{\\partial \\theta} \\sin\\theta \\frac{\\partial}{\\partial \\theta} +\\frac{1}{\\sin^2\\theta}\\frac{\\partial^2}{\\partial \\varphi^2} \\right]. } $$<\/div><\/dd><\/dl>

\u525b\u4f53\u7dda\u5f62\u56de\u8ee2\u5b50\u306e\u53e4\u5178\u7684\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>

$$ { H = \\frac{1}{2\\mu R^2}\\left[p^2_{\\theta} + \\frac{p^2_{\\varphi}}{\\sin^2\\theta}\\right]. } $$<\/div><\/dd><\/dl>

\u91cf\u5b50\u30ea\u30b8\u30c3\u30c9\u30ea\u30cb\u30a2\u30ed\u30fc\u30c6\u30fc\u30bf<\/span><\/h3>

\u525b\u4f53\u56de\u8ee2\u5b50\u30e2\u30c7\u30eb\u306f\u3001\u91cf\u5b50\u529b\u5b66<\/a><\/span>\u3067\u4e8c\u539f\u5b50\u5206\u5b50\u306e\u56de\u8ee2\u30a8\u30cd\u30eb\u30ae\u30fc\u3092<\/a><\/span>\u4e88\u6e2c\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002\u56de\u8ee2\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u30b7\u30b9\u30c6\u30e0\u306e\u6163\u6027<\/span>\u30e2\u30fc\u30e1\u30f3\u30c8I<\/i><\/span>\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u91cd\u5fc3\u57fa\u6e96\u5ea7\u6a19\u7cfb\u3067\u306f\u3001\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>

I<\/i> =<\/sup> \u03bcR2<\/i><\/span><\/dd><\/dl>

\u3053\u3053\u3067\u3001 \u03bc \u306f<\/span>\u5206\u5b50\u306e\u63db\u7b97\u8cea\u91cf\u3001 R \u306f<\/i><\/span>2 \u3064\u306e\u539f\u5b50\u9593\u306e\u8ddd\u96e2\u3067\u3059\u3002\u91cf\u5b50\u529b\u5b66\u3067\u306f\u3001\u7cfb\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u6e96\u4f4d\u306f\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u3067\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002 <\/p>

$$ {\\hat H Y = E Y } $$<\/div><\/dd><\/dl>

\u3053\u3053\u3067\u3001 Y<\/i><\/span>\u306f\u6ce2\u52d5<\/a><\/span>\u95a2\u6570\u3001

$$ {\\hat H} $$<\/div>\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u6f14\u7b97\u5b50 (\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3) \u3067\u3059\u3002\u5834\u306e\u306a\u3044\u7a7a\u9593\u306e\u525b\u4f53\u56de\u8ee2\u5b50\u306e\u5834\u5408\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u6f14\u7b97\u5b50\u306f\u30b7\u30b9\u30c6\u30e0\u306e\u904b\u52d5<\/span>\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 <\/p>
$$ {\\hat H = – \\frac{\\hbar^2}{2\\mu} \\nabla^2} $$<\/div><\/dd><\/dl>

\u307e\u305f\u306f

$$ {\\hbar} $$<\/div>\u306f\u30d7\u30e9\u30f3\u30af\u5b9a\u6570\u30922\u03c0<\/span>\u3067\u5272\u3063\u305f\u3082\u306e\u3067\u3001
$$ {\\nabla^2} $$<\/div>\u30e9\u30d7\u30e9\u30b7\u30a2\u30f3\u3002\u30e9\u30d7\u30e9\u30b7\u30a2\u30f3\u306f\u7403\u9762\u5ea7\u6a19\u3067\u4e0a\u306b\u4e0e\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u5ea7\u6a19\u7cfb\u3067\u66f8\u304b\u308c\u305f\u30a8\u30cd\u30eb\u30ae\u30fc\u6f14\u7b97\u5b50\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>
$$ {\\hat H =- \\frac{\\hbar^2}{2I} \\left [ {1 \\over \\sin \\theta} {\\partial \\over \\partial \\theta} \\left ( \\sin \\theta {\\partial \\over \\partial \\theta} \\right ) + {1 \\over {\\sin^2 \\theta}} {\\partial^2 \\over \\partial \\varphi^2} \\right]} $$<\/div><\/dd><\/dl>

\u3053\u306e\u6f14\u7b97\u5b50\u306f\u3001\u30e9\u30b8\u30a2\u30eb\u90e8\u5206\u306e\u5206\u96e2<\/a><\/span>\u5f8c\u306e\u6c34\u7d20<\/a><\/span>\u539f\u5b50<\/a><\/span>\u306e\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f<\/a><\/span>\u306b\u3082\u73fe\u308c\u307e\u3059\u3002\u56fa\u6709\u5024\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ { \\hat H Y_\\ell^m (\\theta, \\varphi ) = \\frac{\\hbar^2}{2I} \\ell(\\ell+1) Y_\\ell^m (\\theta, \\varphi ). } $$<\/div><\/dd><\/dl>

\u30b7\u30f3\u30dc\u30eb

$$ {Y_\\ell^m (\\theta, \\varphi )} $$<\/div>\u306f\u7403\u9762\u8abf\u548c\u95a2\u6570\u3068\u3057\u3066\u77e5\u3089\u308c\u308b\u4e00\u9023\u306e\u95a2\u6570\u3092\u8868\u3057\u307e\u3059\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u4f9d\u5b58\u3057\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002
$$ {m \\,} $$<\/div> \u3002\u30a8\u30cd\u30eb\u30ae\u30fc<\/p>
$$ { E_\\ell = {\\hbar^2 \\over 2I} \\ell \\left (\\ell+1\\right )} $$<\/div><\/dd><\/dl>

\u6771

$$ {2\\ell+1} $$<\/div>\u7e2e\u9000\u6642\u9593: \u95a2\u6570
$$ {\\ell\\,} $$<\/div>\u4fee\u6b63\u3055\u308c\u3001
$$ {m=-\\ell,-\\ell+1,\\dots,\\ell} $$<\/div>\u540c\u3058\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002<\/p>

\u56de\u8ee2\u5b9a\u6570 B \u3092<\/i>\u5c0e\u5165\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>

$$ { E_\\ell = hB\\; \\ell \\left (\\ell+1\\right )\\quad \\textrm{avec}\\quad B \\equiv \\frac{\\hbar^2}{2Ih}. } $$<\/div><\/dd><\/dl>

\u9577\u3055\u306e\u9006\u6570<\/a><\/span>\u5358\u4f4d<\/a><\/span>\u3067\u8868\u3059\u3068\u3001\u56de\u8ee2\u5b9a\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ { \\bar B \\equiv \\frac{B}{c} = \\frac{h}{8\\pi^2cI}, } $$<\/div><\/dd><\/dl>

\u3053\u3053\u3067\u3001\u305d\u308c\u306f<\/i>\u5149\u306e\u901f\u5ea6<\/a><\/span>\u3067\u3059\u3002 CGS \u5358\u4f4d\u304ch<\/i> \u3001 c \u3001<\/i>\u304a\u3088\u3073I<\/i>\u306b\u4f7f\u7528\u3055\u308c\u308b\u5834\u5408\u3001

$$ {\\bar B} $$<\/div>\u306f\u3001\u56de\u8ee2\u304a\u3088\u3073\u632f\u52d5\u5206\u5149\u6cd5\u306b\u4f7f\u7528\u3055\u308c\u308b\u5358\u4f4d\u3067\u3042\u308b\u6ce2\u6570 (cm -1<\/sup> ) \u3067\u8868\u3055\u308c\u307e\u3059\u3002\u56de\u8ee2\u5b9a\u6570
$$ {\\bar B(R)} $$<\/div>\u8ddd\u96e2R<\/i><\/span>\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u79c1\u305f\u3061\u306f\u6642\u3005\u66f8\u304d\u307e\u3059
$$ { B_e = \\bar B(R_e) } $$<\/div>\u3053\u3053\u3067\u3001 Re<\/i>\u306f<\/i><\/sub><\/span>R<\/i><\/span>\u306e\u5e73\u8861\u5024\u3067\u3059 (\u3064\u307e\u308a\u3001\u56de\u8ee2\u5b50\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u6700\u5c0f\u306b\u306a\u308a\u307e\u3059)\u3002<\/p>

\u5178\u578b\u7684\u306a\u56de\u8ee2\u30b9\u30da\u30af\u30c8\u30eb\u306f\u3001\u7570\u306a\u308b\u4e8c\u6b21\u91cf\u5b50<\/span>\u6570\u5024\u3092\u6301\u3064\u6e96\u4f4d\u9593\u306e\u9077\u79fb\u306b\u5bfe\u5fdc\u3059\u308b\u4e00\u9023\u306e\u30d4\u30fc\u30af\u3067\u69cb\u6210\u3055\u308c\u307e\u3059 (

$$ {\\ell} $$<\/div> \uff09\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u56de\u8ee2\u30d4\u30fc\u30af\u306f\u3001 \u306e\u6574\u6570\u500d\u306b\u76f8\u5f53\u3059\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u3067\u73fe\u308c\u307e\u3059\u3002
$$ {{2\\bar B}} $$<\/div> \u3002<\/p>
\n\"\u30ea\u30b8\u30c3\u30c9\u30ed\u30fc\u30c6\u30fc\u30bf\u30fc\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u9078\u629e\u30eb\u30fc\u30eb<\/span><\/h3>

\u5206\u5b50\u306e\u56de\u8ee2\u9077\u79fb\u306f\u3001\u5206\u5b50\u304c\u5149\u5b50<\/a><\/span>(\u91cf\u5b50\u5316\u3055\u308c\u305f\u96fb\u78c1\u5834<\/a><\/span>\u3092\u6301\u3064\u7c92\u5b50) \u3092\u5438\u53ce\u3059\u308b\u3068\u304d\u306b\u767a\u751f\u3057\u307e\u3059\u3002\u5149\u5b50\u306e\u30a8\u30cd\u30eb\u30ae\u30fc (\u3064\u307e\u308a\u3001\u96fb\u78c1\u5834\u306e<\/a><\/span>\u6ce2\u9577<\/a><\/span>) \u306b\u5fdc\u3058\u3066\u3001\u3053\u306e\u9077\u79fb\u306f\u632f\u52d5\u304a\u3088\u3073\/\u307e\u305f\u306f\u96fb\u5b50\u9077\u79fb\u306e\u885b\u661f<\/a><\/span>\u7dda<\/a><\/span>\u3068\u3057\u3066\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u632f\u52d5\uff08\u96fb\u5b50\u3068\u632f\u52d5\u306e\uff09\u6ce2\u52d5\u95a2\u6570\u304c\u5909\u5316\u3057\u306a\u3044\u300c\u7d14\u7c8b\u306a\u300d\u56de\u8ee2\u9077\u79fb\u306f\u3001 \u96fb\u78c1\u30b9\u30da\u30af\u30c8\u30eb<\/a><\/span>\u306e\u30de\u30a4\u30af\u30ed\u6ce2\u9818\u57df\u3067\u767a\u751f\u3057\u307e\u3059\u3002<\/p>

\u56de\u8ee2\u9077\u79fb\u306f\u901a\u5e38\u3001\u4e8c\u6b21\u91cf\u5b50\u6570<\/a><\/span>\u304c 1 \u5358\u4f4d\u5909\u5316\u3057\u305f\u5834\u5408\u306b\u306e\u307f\u89b3\u5bdf\u3067\u304d\u307e\u3059 (

$$ {\\Delta l = \\pm 1} $$<\/div> \uff09\u3002\u3053\u306e\u9078\u629e\u30eb\u30fc\u30eb\u306f\u3001\u6642\u9593\u4f9d\u5b58\u306e\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f\u306e\u4e00\u6b21\u6442\u52d5\u7406\u8ad6\u8fd1\u4f3c\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u8fd1\u4f3c\u306b\u3088\u308c\u3070\u3001\u56de\u8ee2\u9077\u79fb\u306f\u3001\u53cc\u6975\u5b50\u6f14\u7b97\u5b50\u306e 1 \u3064\u4ee5\u4e0a\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306b\u6d88\u6ec5\u3057\u306a\u3044\u9077\u79fb\u30e2\u30fc\u30e1\u30f3\u30c8\u304c\u3042\u308b\u5834\u5408\u306b\u306e\u307f\u89b3\u5bdf\u3067\u304d\u307e\u3059\u3002 z \u304c<\/i>\u5165\u5c04\u96fb\u78c1\u6ce2<\/a><\/span>\u306e\u96fb\u5834<\/a><\/span>\u6210\u5206\u306e\u65b9\u5411\u3067\u3042\u308b\u5834\u5408\u3001\u9077\u79fb\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>
$$ { \\langle \\psi_2 | \\mu_z | \\psi_1\\rangle = \\left ( \\mu_z \\right )_{21} = \\int \\psi_2^*\\mu_z\\psi_1\\, \\mathrm{d}\\tau . } $$<\/div><\/dd><\/dl>

\u3053\u306e\u7a4d\u5206<\/a><\/span>\u304c\u30bc\u30ed\u4ee5\u5916\u306e\u5834\u5408\u3001\u9077\u79fb\u304c\u767a\u751f\u3057\u307e\u3059\u3002\u5206\u5b50\u306e\u6ce2\u52d5\u95a2\u6570\u306e\u56de\u8ee2\u90e8\u5206\u3092\u632f\u52d5\u90e8\u5206\u304b\u3089\u5206\u96e2\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u3053\u308c\u306f\u5206\u5b50\u304c\u6c38\u4e45\u53cc\u6975\u5b50\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u6301\u3063\u3066\u3044\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u632f\u52d5\u5ea7\u6a19\u4e0a\u3067\u7a4d\u5206\u3057\u305f\u5f8c\u3001\u9077\u79fb\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u6b21\u306e\u56de\u8ee2\u90e8\u5206\u304c\u6b8b\u308a\u307e\u3059\u3002 <\/p>

$$ { \\left ( \\mu_z \\right )_{l,m;l’,m’} = \\mu \\int_0^{2\\pi} \\mathrm{d}\\phi \\int_0^\\pi Y_{l’}^{m’} \\left ( \\theta , \\phi \\right )^* \\cos \\theta\\,Y_l^m\\, \\left ( \\theta , \\phi \\right )\\; \\mathrm{d}\\cos\\theta . } $$<\/div><\/dd><\/dl>

\u3053\u3053

$$ {\\mu \\cos\\theta \\, } $$<\/div>\u306f\u6c38\u4e45\u53cc\u6975\u5b50\u30e2\u30fc\u30e1\u30f3\u30c8\u306ez<\/i>\u6210\u5206\u3067\u3059\u3002\u30e2\u30fc\u30e1\u30f3\u30c8\u03bc \u306f<\/span>\u3001\u53cc\u6975\u5b50<\/a><\/span>\u6f14\u7b97\u5b50\u306e\u632f\u52d5\u5e73\u5747\u6210\u5206\u3067\u3059\u3002\u7570\u6838\u5206\u5b50\u306e\u8ef8\u306b\u6cbf\u3063\u305f\u6c38\u4e45\u53cc\u6975\u5b50\u6210\u5206\u3060\u3051\u304c\u6d88\u3048\u307e\u305b\u3093\u3002\u7403\u9762\u8abf\u548c\u95a2\u6570\u306e\u76f4\u4ea4\u6027<\/a><\/span>\u306e\u4f7f\u7528
$$ {Y_l^m\\, \\left ( \\theta , \\phi \\right )} $$<\/div>\u975e\u30bc\u30ed\u306e\u53cc\u6975\u5b50\u9077\u79fb\u30e2\u30fc\u30e1\u30f3\u30c8\u7a4d\u5206\u3092\u4e0e\u3048\u308bl<\/i><\/span> \u3001 m<\/i><\/span> \u3001 l<\/i> ‘<\/span> \u3001\u304a\u3088\u3073m<\/i> ‘<\/span>\u306e\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u5236\u7d04\u306f\u3001\u525b\u4f53\u56de\u8ee2\u5b50\u3067\u89b3\u5bdf\u3055\u308c\u308b\u9078\u629e\u30eb\u30fc\u30eb\u306b\u3088\u3063\u3066\u5909\u63db\u3055\u308c\u307e\u3059\u3002 <\/p>
$$ { \\Delta m = 0 \\quad\\hbox{et}\\quad \\Delta l = \\pm 1 } $$<\/div><\/dd><\/dl>

\u975e\u525b\u4f53\u30ea\u30cb\u30a2\u56de\u8ee2\u5b50<\/span><\/h3>

\u525b\u4f53\u56de\u8ee2\u5b50\u306f\u901a\u5e38\u3001\u4e8c\u539f\u5b50\u5206\u5b50\u306e\u56de\u8ee2\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u304c\u3001\u539f\u5b50\u9593\u7d50\u5408 (\u3057\u305f\u304c\u3063\u3066\u8ddd\u96e2R<\/i><\/span> ) \u304c\u5909\u5316\u3059\u308b\u305f\u3081\u3001\u5b8c\u5168\u306b<\/span>\u95a2\u9023\u3057\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u5206\u5b50\u306e\u56de\u8ee2\u304c\u5897\u52a0\u3059\u308b\u3068 (\u4e8c\u6b21\u91cf\u5b50\u6570l<\/i><\/span>\u306e\u5024\u304c\u5897\u52a0\u3059\u308b\u3068)\u3001\u7d50\u5408\u306f\u4f38\u3073\u307e\u3059\u3002\u3053\u306e\u52b9\u679c\u306f\u3001\u9060\u5fc3\u6b6a\u307f\u5b9a\u6570\u3068\u3057\u3066\u77e5\u3089\u308c\u308b\u88dc\u6b63\u4fc2\u6570\u3092\u5c0e\u5165\u3059\u308b\u3053\u3068\u3067\u8003\u616e\u3067\u304d\u307e\u3059\u3002

$$ {\\bar{D}} $$<\/div> (\u91cf\u306e\u4e0a\u306e\u30d0\u30fc\u306f\u3001cm -1<\/sup>\u3067\u8868\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059): <\/p>
$$ { \\bar E_l = {E_l \\over hc} = \\bar {B}l \\left (l+1\\right ) – \\bar {D}l^2 \\left (l+1\\right )^2} $$<\/div><\/dd><\/dl>

\u307e\u305f\u306f<\/p>

$$ { \\bar D = {4 \\bar {B}^3 \\over \\bar {symbol\\omega}^2}} $$<\/div><\/dd><\/dl>

$$ {\\bar symbol\\omega} $$<\/div>\u7d50\u5408\u306e\u57fa\u672c<\/span>\u632f\u52d5\u5468\u6ce2\u6570\uff08cm -1<\/sup>\u5358\u4f4d\uff09\u3002\u3053\u306e\u5468\u6ce2\u6570\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u5206\u5b50\u306e\u63db\u7b97\u8cea\u91cf\u3068\u525b\u6027\u5b9a\u6570 (\u7d50\u5408\u529b) \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002 <\/p>
$$ { \\bar symbol\\omega = {1\\over 2\\pi c} \\sqrt{k \\over \\mu }} $$<\/div><\/dd><\/dl>

\u975e\u525b\u4f53\u56de\u8ee2\u5b50\u306f\u3001\u4e8c\u539f\u5b50\u5206\u5b50\u306b\u3068\u3063\u3066\u8a31\u5bb9\u53ef\u80fd\u306a\u7cbe\u5ea6\u3092\u5099\u3048\u305f\u30e2\u30c7\u30eb\u3067\u3059\u304c\u3001\u4f9d\u7136\u3068\u3057\u3066\u4e0d\u5b8c\u5168\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u30e2\u30c7\u30eb\u304c\u56de\u8ee2\u4f38\u7e2e\u3092\u8003\u616e\u3057\u3066\u3044\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u632f\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc (\u6f5c\u5728\u7684\u306a\u4e0d\u8abf\u548c\u6027) \u306b\u8d77\u56e0\u3059\u308b\u7d50\u5408\u4f38\u7e2e\u3092\u7121\u8996\u3057\u3066\u3044\u308b\u305f\u3081\u3067\u3059\u3002<\/p><\/div>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. Starrer Rotator \u2013 allemand<\/a><\/li>
  2. Rigid rotor \u2013 anglais<\/a><\/li>
  3. Rotor r\u00edgido \u2013 espagnol<\/a><\/li>
  4. \u05e8\u05d5\u05d8\u05e6\u05d9\u05d4 \u05e9\u05dc \u05de\u05d5\u05dc\u05e7\u05d5\u05dc\u05d4 \u2013 h\u00e9breu<\/a><\/li>
  5. Rotor r\u00edgido \u2013 portugais<\/a><\/li>
  6. Stel rotor \u2013 su\u00e9dois<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u30ea\u30b8\u30c3\u30c9\u30ed\u30fc\u30c6\u30fc\u30bf\u30fc\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n