{"id":34054,"date":"2024-08-31T22:16:27","date_gmt":"2024-08-31T22:16:27","guid":{"rendered":"https:\/\/science-hub.click\/%E9%87%8F%E5%AD%90%E7%89%A9%E7%90%86%E5%AD%A6%E3%81%AE%E5%BD%A2%E5%BC%8F-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-08-31T22:16:27","modified_gmt":"2024-08-31T22:16:27","slug":"%E9%87%8F%E5%AD%90%E7%89%A9%E7%90%86%E5%AD%A6%E3%81%AE%E5%BD%A2%E5%BC%8F-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=34054","title":{"rendered":"\u91cf\u5b50\u7269\u7406\u5b66\u306e\u5f62\u5f0f – \u5b9a\u7fa9"},"content":{"rendered":"

\u5c0e\u5165<\/h2>
<\/center><\/td><\/tr>
\u5149\u5b66<\/td><\/tr>
\u96fb\u78c1<\/td><\/tr>
\u91cf\u5b50\u7269\u7406\u5b66<\/strong><\/td><\/tr>
\u71b1\u529b\u5b66<\/td><\/tr>
\u6d41\u4f53\u529b\u5b66<\/a><\/span><\/td><\/tr>
\u6a5f\u68b0\u5f0f<\/a><\/span><\/td><\/tr>
\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6<\/a><\/span><\/td><\/tr>
\u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb<\/a><\/span><\/td><\/tr>
\u30d9\u30af\u30c8\u30eb\u89e3\u6790<\/a><\/span><\/td><\/tr><\/table>
\n\"\u91cf\u5b50\u7269\u7406\u5b66\u306e\u5f62\u5f0f<\/figure>

\u3044\u304f\u3064\u304b\u306e\u89b3\u6e2c\u5024\u306e\u8868\u73fe<\/h2>

\u30aa\u30d6\u30b6\u30fc\u30d0\u30d6\u30eb\u9593\u306e\u5207\u308a\u66ff\u3048\u95a2\u4fc2\u306f\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u529b\u5b66<\/a><\/span>\u3068\u91cf\u5b50\u529b\u5b66<\/a><\/span>\u306e\u9593\u306e\u5bfe\u5fdc\u539f\u7406<\/a><\/span>\u304b\u3089\u63a8\u5b9a\u3055\u308c\u307e\u3059\u3002\u305d\u308c\u3089\u306e\u5f0f\u306f\u6570\u5b66\u7684\u5206\u6790\u304b\u3089\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>
\u89b3\u6e2c\u53ef\u80fd<\/a><\/span><\/th>\u30b7\u30f3\u30dc\u30eb<\/th>\u30d5\u30ec\u30fc\u30ba<\/th>\u30b3\u30e1\u30f3\u30c8<\/th><\/tr>
\u4f4d\u7f6e<\/td>
$$ {\\hat \\vec r = (\\hat x,\\hat y,\\hat z)} $$<\/div><\/td>
$$ {\\hat x\u00a0: \\psi \\mapsto \\tilde\\psi\\text{, avec }} $$<\/div><\/td><\/tr>
\u8108<\/td>
$$ {\\hat \\vec p = (\\hat p_x,\\hat p_y,\\hat p_z)} $$<\/div><\/td>
$$ {\\hat \\vec p = \\frac{\\hbar}{i}\\nabla = -i \\hbar (\\frac {\\partial}{\\partial x},\\frac {\\partial}{\\partial y},\\frac {\\partial}{\\partial z})} $$<\/div><\/td>
 2 \u756a\u76ee\u306e\u5f0f\u306f\u3001\u30af\u30fc\u30ed\u30f3\u30b2\u30fc\u30b8<\/a><\/span>\u306e\u8377\u96fb\u7c92\u5b50\u306b\u5bfe\u3057\u3066\u6709\u52b9\u3067\u3059\u3002<\/td><\/tr>
\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span><\/td>
$$ {T, K \\,\\!} $$<\/div><\/td>
$$ {\\frac{p^2}{2m} = -\\frac{\\hbar^2}{2m} \\Delta} $$<\/div><\/td><\/tr>
\u8ecc\u9053\u89d2\u904b\u52d5\u91cf<\/span><\/td>
$$ {\\hat \\vec L = (\\hat L_x,\\hat L_y,\\hat L_z)} $$<\/div><\/td>
$$ {\\hat \\vec L = \\hat \\vec r \\times \\hat \\vec p} $$<\/div><\/td>
 L<\/i> 2<\/sup><\/span>\u3068L<\/i> z<\/i><\/sub><\/span>\u306b\u5171\u901a\u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306f\u7403\u9762\u8abf\u548c\u95a2\u6570\u3092\u5f62\u6210\u3057\u307e\u3059<\/td><\/tr>
\u30b9\u30d4\u30f3<\/a><\/span><\/td>
$$ {\\hat \\vec S = (\\hat S_x,\\hat S_y,\\hat S_z)} $$<\/div><\/td>
$$ {\\hat S_x = \\frac{\\hbar}{2} \\begin{pmatrix} 0 & 1 \\\\ 1 & 0 \\end{pmatrix}\u00a0; \\quad \\hat S_y = \\frac{\\hbar}{2} \\begin{pmatrix} 0 & – \\ i \\\\ i & 0 \\end{pmatrix}\u00a0;} $$<\/div><\/td>
\u30b9\u30d4\u30f31\/2\u306e\u5834\u5408\u306b\u6709\u52b9\u306a\u8a08\u7b97\u5f0f<\/td><\/tr>
\u5168\u89d2<\/a><\/span>\u904b\u52d5\u91cf<\/td>
$$ {\\hat \\vec J} $$<\/div><\/td>
$$ {\\hat \\vec L + \\hat \\vec S} $$<\/div><\/td><\/tr>
\u89d2\u904b\u52d5\u91cf\u306e\u4e8c\u4e57<\/a><\/span><\/td>
$$ {\\hat J^2} $$<\/div><\/td>
$$ {\\hat J_x^2 + \\hat J_y^2 + \\hat J_z^2} $$<\/div><\/td><\/tr>
\u96fb\u754c<\/a><\/span><\/td>
$$ {\\hat \\vec E(x)} $$<\/div><\/td>
$$ {i\\frac {\\mathcal E_k^{(0)}(x)} 2 (a_k-a_k^+) \\vec e_k(x)} $$<\/div><\/td>
\u30d5\u30a3\u30fc\u30eb\u30c9<\/a><\/span>\u306e\u5358\u4e00\u30e2\u30fc\u30c9 (k) \u306b\u5bfe\u3057\u3066\u6709\u52b9\u3067\u3059\u3002
$$ {\\vec e_k} $$<\/div>\u306f\u504f\u5149\u3092\u793a\u3059\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002<\/td><\/tr><\/table>

\u9ed2\u4f53\u306e\u6cd5\u5247<\/h2>

\u30b9\u30c6\u30d5\u30a1\u30f3\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u306e\u6cd5\u5247<\/a><\/span>\u306b\u3088\u308c\u3070\u3001\u9ed2\u4f53\u304b\u3089\u653e\u51fa\u3055\u308c\u308b\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span>\u6d41<\/a><\/span>\u03a6 \u306f\u3001\u7d76\u5bfe\u6e29\u5ea6<\/a><\/span>T<\/a><\/span> (<\/i>\u30b1\u30eb\u30d3\u30f3\u5358\u4f4d) \u306e\u95a2\u6570\u3068\u3057\u3066\u5909\u5316\u3057\u307e\u3059\u3002<\/p>

\u03a6 = \u03c3 T<\/i> 4<\/sup><\/span><\/dd><\/dl>

\u3053\u3053\u3067\u3001\u03c3 \u306f\u30b9\u30c6\u30d5\u30a1\u30f3\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5b9a\u6570<\/span>\u3067\u3059\u3002<\/p>

\u7279\u5b9a<\/a><\/span>\u306e<\/span>\u6ce2\u9577<\/a><\/span>\u03bb \u306b\u5bfe\u3059\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u675f\u5bc6\u5ea6<\/a><\/span>d<\/i> \u03a6 \u306f\u3001\u30d7\u30e9\u30f3\u30af\u306e\u6cd5\u5247\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <\/p>

$$ {\\frac{d\\Phi}{d\\lambda} = \\frac{2\\pi c^2 h}{\\lambda^5 } \\cdot \\frac{1}{e^{hc\/\\lambda kT}-1}} $$<\/div><\/dd><\/dl>

\u3053\u3053\u3067\u3001 c<\/i>\u306f\u771f\u7a7a<\/a><\/span>\u4e2d\u306e\u5149\u306e\u901f\u5ea6<\/a><\/span>\u3001 h<\/i>\u306f\u30d7\u30e9\u30f3\u30af\u5b9a\u6570<\/a><\/span>\u3001 k \u306f<\/i>\u30dc\u30eb\u30c4\u30de\u30f3\u5b9a\u6570<\/a><\/span>\u3067\u3059\u3002\u3053\u306e\u30b9\u30da\u30af\u30c8\u30eb\u306e\u6700\u5927\u5024\u306f\u30a6\u30a3\u30fc\u30f3\u306e\u6cd5\u5247\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <\/p>

$$ {\\lambda_{max} = \\frac{hc}{4,965\\cdot kT} = \\frac{2,898 \\cdot 10^{-3}}{T}} $$<\/div> \u3002<\/dd><\/dl>

\u6642\u9593\u306e\u7d4c\u904e\u306b\u3088\u308b\u9032\u5316<\/h2>

\u30b7\u30e5\u30ec\u30fc\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f<\/span><\/h3>