<\/p>\n
3\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306f \\(\\vec{k} =\u00a0 k^i \\vec{e}_i, \\\u00a0 k^i = (k_x, k_y, k_z)\\) \u3042\u308b\u3044\u306f \\(\\vec{k} = (k_x, k_y, k_z)\\)
\n4\u5143\u30d9\u30af\u30c8\u30eb\u306f \\(\\boldsymbol{k} = k^{\\mu} \\boldsymbol{e}_{\\mu}, \\ k^{\\mu} =\u00a0 (k^0, k^i) = (k^0, \\vec{k})\\) \u306a\u3069\u306e\u3088\u3046\u306b\u8868\u3059\u3002<\/p>\n
\u307e\u305a\u306f3\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u3092\u4f8b\u306b\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u5fae\u5206\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u308b\u3002<\/p>\n
3\u6b21\u5143\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb \\(S\\) \u3067\u306f\uff0c\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb \\(\\vec{r}\\) \u306f\uff0c\u6210\u5206 \\(x, y, z\\) \u3068\u57fa\u672c\u30d9\u30af\u30c8\u30eb \\(\\vec{e}_x,\\, \\vec{e}_y,\\, \\vec{e}_z\\) \u3092\u4f7f\u3063\u3066
\n\\begin{equation}
\n\\vec{r}=x\\, \\vec{e}_x +y\\, \\vec{e}_y + z\\, \\vec{e}_z
\n\\end{equation}
\n\u3068\u8868\u3055\u308c\u308b\u3002\u3053\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6642\u9593\u5fae\u5206\u306f\uff0c
\n\\begin{equation}
\n\\dot{\\vec{r}}=\\dot{x}\\, \\vec{e}_x
\n+ \\dot{y}\\, \\vec{e}_y
\n+ \\dot{z}\\, \\vec{e}_z \\equiv \\vec{v}
\n\\end{equation}
\n\u3067\u3042\u308a\uff0c<\/p>\n
\u30d9\u30af\u30c8\u30eb\u306e\u5fae\u5206\u3068\u306f\u6210\u5206\u3092\u5fae\u5206\u3059\u308b\u3053\u3068<\/span><\/strong><\/p>\n \u3068\u6559\u308f\u3063\u305f\u304b\u3068\u601d\u3046\u3002\u3057\u304b\u3057\uff0c\u305d\u3046\u3068\u3070\u304b\u308a\u306f\u9650\u3089\u306a\u3044\u3002<\/p>\n \u6163\u6027\u7cfb \\(S\\) \u306b\u5bfe\u3057\u3066\uff0c\u4e00\u5b9a\u306e\u89d2\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u00a0 \\(\\vec{\\omega}\\)\u00a0 \u3067\u56de\u8ee2\u3057\u3066\u3044\u308b\u7cfb \\(S’\\) \u3067\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u00a0 \\(\\vec{r}’\\)\u00a0 \u306f\uff0c\u7cfb \\(S’\\) \u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u00a0 \\(\\vec{e}’_x, \\vec{e}’_y, \\vec{e}’_z\\)\u00a0 \u3092\u4f7f\u3063\u3066 \u5f93\u3063\u3066\uff0c \u3053\u306e\u56de\u8ee2\u7cfb\u306e\u4f8b\u3067\u660e\u3089\u304b\u306a\u3088\u3046\u306b\uff0c<\/p>\n \u4e00\u822c\u306b\u30d9\u30af\u30c8\u30eb\u3092\u5fae\u5206\u3059\u308b\u3068\u304d\u306f\uff0c \u3068\u3044\u3046\u3053\u3068\u3060\u3051\u3092\u899a\u3048\u3066\u304a\u3044\u3066\u3044\u305f\u3060\u304d\u305f\u3044\u3002<\/p>\n \u6642\u9593\u5fae\u5206\u3060\u3051\u3067\u306a\u304f\uff0c \u57fa\u672c\u30d9\u30af\u30c8\u30eb\u304c\u4e00\u5b9a\u3067\u3042\u308b\u306e\u306f\uff0c\u76f4\u4ea4\u76f4\u7dda\u5ea7\u6a19\u7cfb\uff08\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\uff09\u306e\u307f\u3067\u3042\u308a\uff0c\u4e00\u822c\u306b\u66f2\u7dda\u5ea7\u6a19\u7cfb\u3067\u306f\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306f\u4e00\u5b9a\u3067\u306f\u306a\u304f\uff0c\u5ea7\u6a19\u4f9d\u5b58\u6027\u3092\u3082\u3064\u3053\u3068\u306b\u7559\u610f\u3055\u308c\u305f\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":67,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-217","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/217","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=217"}],"version-history":[{"count":18,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/217\/revisions"}],"predecessor-version":[{"id":1246,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/217\/revisions\/1246"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/67"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\\begin{equation}
\n\\vec{r}’=x’ \\vec{e}’_x +y’ \\vec{e}’_y
\n+z’ \\vec{e}’_z
\n\\end{equation}
\n\u3068\u66f8\u3051\u308b\u304c\uff0c\u7cfb \\(S’\\) \u306f\u56de\u8ee2\u3057\u3066\u3044\u308b\u305f\u3081\uff0c\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u3082\u6642\u9593\u5909\u5316\u3059\u308b\u3002
\n\uff08\\(\\dot{\\vec{e}}’_x =\\vec{\\omega}\\times\\vec{e}’_x\\)\u00a0 \u7b49\u3002\uff09 \uff08\u88dc\u8db3<\/a>\u53c2\u7167\u3002\uff09<\/p>\n
\n\\begin{eqnarray}
\n\\dot{\\vec{r}}’ &=& \\dot{x}’\\, \\vec{e}’_x
\n+ \\dot{y}’\\, \\vec{e}’_y
\n+ \\dot{z}’\\, \\vec{e}’_z % \\nonumber\\\\
\n+ x’\\, \\dot{\\vec{e}}’_x + y’\\, \\dot{\\vec{e}}’_y
\n+ z’\\, \\dot{\\vec{e}}’_z \\nonumber \\\\
\n&=& \\vec{v}’ + \\vec{\\omega}\\times \\vec{r}’.
\n\\end{eqnarray}
\n\u3055\u3089\u306b2\u968e\u5fae\u5206\u306f
\n\\begin{eqnarray}
\n\\ddot{\\vec{r}}’ &=& \\vec{a}’
\n+ 2 \\vec{\\omega}\\times\\vec{v}’
\n+\\vec{\\omega}\\times (\\vec{\\omega}\\times\\vec{r}’)
\n\\end{eqnarray}
\n\u3068\u306a\u308a\uff0c\u7b2c2\u9805\uff0c\u7b2c3\u9805\u306f\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u53f3\u8fba\u3078\u79fb\u884c\u3057\u3066\u7b26\u53f7\u3092\u5909\u3048\uff0c\u305d\u308c\u305e\u308c\u30b3\u30ea\u30aa\u30ea\u529b\u3068\u9060\u5fc3\u529b\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u306b\u306a\u308b\u3002\uff08\u88dc\u8db3<\/a>\u3092\u53c2\u7167\u3002\uff09<\/p>\n
\n\u6210\u5206\u3060\u3051\u3067\u306a\u304f\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u3082\u5fae\u5206\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b<\/strong><\/span><\/p>\n
\n\u7a7a\u9593\u5ea7\u6a19\u306b\u3088\u308b\u504f\u5fae\u5206\u306e\u5834\u5408\u3082\uff0c\u6210\u5206\u3060\u3051\u3067\u306a\u304f\uff0c
\n\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u3082\u5fae\u5206\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u540c\u69d8\u3067\u3042\u308b<\/span><\/strong>\u3002<\/span>
\n\uff08\u88dc\u8db3<\/a>\u3092\u53c2\u7167\u3002\uff09<\/p>\n