{"id":183,"date":"2022-01-05T13:25:30","date_gmt":"2022-01-05T04:25:30","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=183"},"modified":"2022-03-10T11:39:25","modified_gmt":"2022-03-10T02:39:25","slug":"%e9%81%8b%e5%8b%95%e3%81%97%e3%81%a6%e3%81%84%e3%82%8b%e7%89%a9%e4%bd%93%e3%81%ae%e5%8f%8e%e7%b8%ae%ef%bc%9a%e3%83%ad%e3%83%bc%e3%83%ac%e3%83%b3%e3%83%84%e5%8f%8e%e7%b8%ae","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%83%ad%e3%83%bc%e3%83%ac%e3%83%b3%e3%83%84%e5%a4%89%e6%8f%9b%e3%81%ab%e3%82%88%e3%82%89%e3%81%aa%e3%81%84%e7%9b%b8%e5%af%be%e8%ab%96%e3%81%ae%e7%90%86%e8%a7%a3\/%e9%81%8b%e5%8b%95%e3%81%97%e3%81%a6%e3%81%84%e3%82%8b%e7%89%a9%e4%bd%93%e3%81%ae%e5%8f%8e%e7%b8%ae%ef%bc%9a%e3%83%ad%e3%83%bc%e3%83%ac%e3%83%b3%e3%83%84%e5%8f%8e%e7%b8%ae\/","title":{"rendered":"\u30ed\u30fc\u30ec\u30f3\u30c4\u53ce\u7e2e"},"content":{"rendered":"

\u7c21\u5358\u306e\u305f\u3081\u306b\uff0c\u3053\u306e\u7269\u4f53\u3092\u68d2\u3068\u3057\uff0c\u68d2\u306f\u89b3\u6e2c\u8005 \\(A\\) \u306b\u5bfe\u3059\u308b\u89b3\u6e2c\u8005 \\(B\\) \u306e\u904b\u52d5\u306e\u65b9\u5411 \\(\\boldsymbol{e}\\) \u3068\u5e73\u884c\u3067\u3042\u308b\u3068\u3059\u308b\u3002\uff08\\(\\boldsymbol{e}\\) \u306b\u5782\u76f4\u306a\u6210\u5206\u306b\u3064\u3044\u3066\u306f\uff0c\u9577\u3055\u304c\u5909\u5316\u3057\u306a\u3044\u3053\u3068\u3082\u5bb9\u6613\u306b\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002\uff09<\/p>\n

\u89b3\u6e2c\u8005 \\(A\\) \u304c\u6e2c\u5b9a\u3059\u308b\u68d2\u306e\u9577\u3055<\/h3>\n

\u89b3\u6e2c\u8005 \\(A\\) \u304c\u6e2c\u5b9a\u3059\u308b\u68d2\u306e\u9577\u3055\u3068\u306f\uff0c\\(A\\) \u306e4\u5143\u901f\u5ea6 \\(\\boldsymbol{u}\\) \u306b\u76f4\u4ea4\u3059\u308b3\u6b21\u5143\u8d85\u66f2\u9762\uff08\u3053\u308c\u306f\u89b3\u6e2c\u8005 \\(A\\) \u306b\u3068\u3063\u3066\u540c\u6642\u523b3\u6b21\u5143\u7a7a\u9593\u306b\u76f8\u5f53\u3059\u308b\uff09\u4e0a\u306b\u3042\u308b\u68d2\u306e\u5148\u7aef\u3068\u5f8c\u7aef\u306e\u5ea7\u6a19\u5dee\u3067\u3042\u308b\u3002\u3053\u306e\u9577\u3055\u3092 \\(L\\) \u3068\u3059\u308b\u3068\uff0c\u3053\u306e\u68d2\u3092\u8868\u30594\u5143\u30d9\u30af\u30c8\u30eb\u306f
\n$$ \\boldsymbol{l} = L\\, \\boldsymbol{e}$$
\n\u3067\u3042\u308b\u3002\u89b3\u6e2c\u8005 \\(A\\) \u304c\u6e2c\u5b9a\u3059\u308b\u9577\u3055\u306f\uff0c\\(\\boldsymbol{e}\\) \u306b\u305d\u3063\u305f\u300c\u6210\u5206<\/strong><\/span>\u300d\u3068\u3057\u3066\u5b9a\u7fa9\u3067\u304d\u308b\u306e\u3067
\n$$ \\boldsymbol{l}\\cdot\\boldsymbol{e} = L\\, \\boldsymbol{e}\\cdot \\boldsymbol{e} = L$$
\n\u3068\uff0c\u78ba\u304b\u306b \\(L\\) \u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n

\u68d2\u3068\u4e00\u7dd2\u306b\u904b\u52d5\u3057\u3066\u3044\u308b\u89b3\u6e2c\u8005 \\(B\\) \u304c\u6e2c\u5b9a\u3059\u308b\u3068…<\/h3>\n

\u4e00\u65b9\uff0c\u3053\u306e\u540c\u3058\u68d2\u306e\u9577\u3055\u3092\uff0c\u68d2\u3068\u4e00\u7dd2\u306b\u904b\u52d5\u3057\u3066\u3044\u308b\u89b3\u6e2c\u8005 \\(B\\) \u304c\u6e2c\u5b9a\u3059\u308b\u9577\u3055\u3092 \\(L_0\\) \u3068\u3059\u308b\u3068\uff0c\\(L_0\\)\u306f\u89b3\u6e2c\u8005 \\(B\\) \u306b\u3068\u3063\u3066\u306e\u540c\u6642\u523b3\u6b21\u5143\u7a7a\u9593\u5185\u306b\u3042\u308b \\(\\bar{\\boldsymbol{e}}\\) \u306b\u305d\u3063\u305f\u300c\u6210\u5206<\/strong><\/span>\u300d\u3067\u3042\u308b\u304b\u3089\uff0c
\n$$ L_0 = \\boldsymbol{l}\\cdot\\bar{\\boldsymbol{e}} = \u00a0 L\\, \\boldsymbol{e}\\cdot\\bar{\\boldsymbol{e}}$$
\n\u3068\u306a\u308b\u30024\u5143\u901f\u5ea6\u306e\u5408\u6210\u5247\u306e\u3068\u3053\u308d\u3067\u51fa\u3066\u304d\u305f \\(\\boldsymbol{e}\\) \u306e\u5909\u63db\u5f0f\u3092\u4f7f\u3046\u3068\uff08\\( \\bar{\\boldsymbol{e}} \\cdot\\bar{\\boldsymbol{e}} = 1\\), \\(\\bar{\\boldsymbol{u}} \\cdot\\bar{\\boldsymbol{e}} = 0\\) \u3067\u3042\u308b\u304b\u3089\uff09
\n\\begin{eqnarray}
\nL_0 &=& L \\frac{1}{\\sqrt{1-V^2}} \\left(\\bar{\\boldsymbol{e}} – V \\bar{\\boldsymbol{u}}\\right)\\cdot \\bar{\\boldsymbol{e}} \\\\ \\ \\\\
\n&=& \\frac{L}{\\sqrt{1-V^2}}
\n\\end{eqnarray}<\/p>\n

\u3057\u305f\u304c\u3063\u3066\uff0c$$ L = L_0 \\sqrt{1-V^2} < L_0$$ \u3068\u306a\u308a\uff0c\u89b3\u6e2c\u8005 \\(A\\) \u304c\u6e2c\u5b9a\u3059\u308b\u68d2\u306e\u9577\u3055 \\(L\\) \u306f\uff0c\u68d2\u306b\u5bfe\u3057\u3066\u9759\u6b62\u3057\u3066\u3044\u308b\u89b3\u6e2c\u8005 \\(B\\) \u304c\u6e2c\u5b9a\u3059\u308b\u9577\u3055 \\(L_0\\) \u3088\u308a\u3082\u53ce\u7e2e\u3057\u3066\u89b3\u6e2c\u3055\u308c\u308b\u3002<\/p>\n

 <\/p>\n

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