[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/12083#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/12083","headline":"\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6 L{displaystyle {mathcal {l}}} after-content-x4 \uff08\u6570\u5b66\u8005\u306e\u30b8\u30e7\u30bb\u30d5\u30fb\u30eb\u30a4\u30fb\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306b\u3088\u308b\u3068\u3001\u7406\u8ad6\u7269\u7406\u5b66\u306f\u3001\u5206\u91ce\u3092\u898b\u308b\u306e\u306b\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306e\u5bc6\u5ea6\u3092\u8aac\u660e\u3057\u307e\u3059 l {displaystyle l} \u30dc\u30ea\u30e5\u30fc\u30e0\u8981\u7d20\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306f\u3001\u691c\u8a0e\u4e2d\u306e\u30dc\u30ea\u30e5\u30fc\u30e0\u4e0a\u306e\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6\u306e\u7a4d\u5206\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 after-content-x4 l = \u222b d3r L= \u222d d\u30d0\u30c4 d\u3068","datePublished":"2022-08-09","dateModified":"2022-08-09","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/9027196ecb178d598958555ea01c43157d83597c","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/9027196ecb178d598958555ea01c43157d83597c","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/12083","wordCount":3959,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6  L{displaystyle {mathcal {l}}}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\uff08\u6570\u5b66\u8005\u306e\u30b8\u30e7\u30bb\u30d5\u30fb\u30eb\u30a4\u30fb\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306b\u3088\u308b\u3068\u3001\u7406\u8ad6\u7269\u7406\u5b66\u306f\u3001\u5206\u91ce\u3092\u898b\u308b\u306e\u306b\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306e\u5bc6\u5ea6\u3092\u8aac\u660e\u3057\u307e\u3059 l {displaystyle l} \u30dc\u30ea\u30e5\u30fc\u30e0\u8981\u7d20\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306f\u3001\u691c\u8a0e\u4e2d\u306e\u30dc\u30ea\u30e5\u30fc\u30e0\u4e0a\u306e\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6\u306e\u7a4d\u5206\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4l = \u222b d3r L= \u222d d\u30d0\u30c4 d\u3068 d\u3068 L(\u03d5,\u2202\u03d5\u2202t,\u2202\u03d5\u2202x,\u2202\u03d5\u2202y,\u2202\u03d5\u2202z,t){displaystyle l = int mathrm {d} ^{3} r {mathcal {l}} = iiint mathrm {d} x\u3001mathrm {d} y\u3001mathrm {d} z\u3001{mathcal {l}}\u5de6\u5de6\uff08phi\u3001{partial phi {partial phi {{partial phi} {partial phi} {partial phi {{partial phi} {partial phi} ial x}}\u3001{frac {partial phi} {partial y}}\u3001{frac {partial phi} {partial z}}\u3001tright\uff09} \u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u691c\u8a0e\u3057\u3066\u3044\u307e\u3059 \u03d5 \uff08 \u30d0\u30c4 \u3001 \u3068 \u3001 \u3068 \u3001 t \uff09\uff09 {displaystyle phi\uff08x\u3001y\u3001z\u3001t\uff09} \u3002 \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6\u306e\u5b9f\u969b\u306e\u76ee\u7684\u306f\u3001\u79fb\u52d5\u65b9\u7a0b\u5f0f\u306b\u3088\u308b\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u8aac\u660e\u3067\u3059\u3002\u30cf\u30df\u30eb\u30c8\u30f3\u539f\u7406\u304b\u3089\u7b2c2\u7a2e\u306e\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\u3059\u308b\u306e\u3068\u540c\u3058\u3088\u3046\u306b\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u30cf\u30df\u30eb\u30c8\u30f3\u539f\u7406\u304b\u3089\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\u3067\u304d\u307e\u3059\uff08\u6d3e\u751f\uff09\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u79fb\u52d5\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u2202L\u2202\u03d5i –  \u2202\u2202t\u2202L\u2202\u2202\u03d5i\u2202t –  \u2211j=13\u2202\u2202xj\u2202L\u2202\u2202\u03d5i\u2202xj= \u2202L\u2202\u03d5i –  \u2202\u03bc\u2202L\u2202(\u2202\u03bc\u03d5i)= 0 {displaystyle {frac {partial {mathcal {l}}} {partial phi _ {i}}}  –  {frac {partial} {partial t}} {frac {partial {mathcal {l}}}} {partial {i {i {i {i {i {i {i {i {i} {i {i {} {i {i} {i {i} {i} -sum _ {j = 1}^{3} {frac {partial} {partial x_ {j}}} {frac {partial {mathcal {l}}}} {frac {partial phi _ {i}}} {partial x_ {j} {j} {partial }}} {partial phi _ {i}}}  –  partial _ {mu} {frac {partial {mathcal {l}}}}} {partial\uff08partial _ {mu} phi _ {i}\uff09}} = 0}} \u3002  3\u6b21\u5143\u306e\u30b9\u30a4\u30f3\u30b0\u30b9\u30c8\u30ea\u30f3\u30b0\uff08\u6587\u5b57\u5217\uff09\u306e\u52d5\u304d\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u4f8b\u793a\u7684\u89e3\u6c7a\u7b56\u3002\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\uff1a E=\u03bc=1{displaystyle e = mu = 1} \u3001\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306f\u5b9f\u969b\u306e\u901f\u5ea6\u306e10\uff05\u3067\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002 \u6b21\u5143\u306e\u6587\u5b57\u5217\u306e\u5834\u5408\u3001\u7d50\u679c\u306f \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6  L= 12[\u03bc(\u2202\u03d5\u2202t)2\u2212E(\u2202\u03d5\u2202x)2]{displaystyle {mathcal {l}} = {frac {1} {2} {2}}\u5de6[mu\u5de6\uff08{frac {partial phi} {partial t}}\u53f3\uff09^{2} -eleft\uff08{frac {partial phi} {partial x} {right\uff09^{2\uff09 \u3053\u306e\u4f8b\u3067\u306f\u3001\u5e73\u5747\uff1a \u03d5 = \u03d5 \uff08 \u30d0\u30c4 \u3001 t \uff09\uff09 {displaystyle non- =\uff08x\u3001t\uff09} \u9759\u6b62\u4f4d\u7f6e\u304b\u3089\u306e\u6587\u5b57\u5217\u306e\u5834\u6240\u306e\u305f\u308f\u307f\uff08\u30d5\u30a3\u30fc\u30eb\u30c9\u5909\u6570\uff09 m {displaystyle mu} \u7dda\u5f62\u8cea\u91cf\u5bc6\u5ea6 \u3068 {displaystyle e} \u5f3e\u6027\u30e2\u30b8\u30e5\u30fc\u30eb \u3053\u308c\u3068\u3068\u3082\u306b \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6 \u964d\u4f0f\u3057\u305f \u2202L\u2202\u03d5= 0 {displaystyle {frac {partial {mathcal {l}}} {partial phi}} = 0} \u2202L\u2202\u2202\u03d5\u2202t= m \u2202\u03d5\u2202t{displaystyle {frac {partial {mathcal {l}}} {partial {frac {partial phi} {partial t}}}} = mu {frac {partial phi} {partial t}}}}} \u2202L\u2202\u2202\u03d5\u2202x=  –  \u3068 \u2202\u03d5\u2202x{displaystyle {frac {partial {mathcal {l}}} {partial {frac {partial phi} {partial x}}}} = -e {frac {partial x}}}}}} \u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059 \u52d5\u304d\u306e\u65b9\u7a0b\u5f0f \u632f\u52d5\u3059\u308b\u6587\u5b57\u5217 \u3068 \u22022\u03d5\u2202x2 –  m \u22022\u03d5\u2202t2= 0 {displaystyle e {frac {partial ^{2} phi} {partial x ^{2}}}  –  mu {frac {partial ^{2} phi} {partial t ^{2}}}} = 0}} \u7269\u7406\u30d7\u30ed\u30bb\u30b9\u306e\u8aac\u660e\u306f\u3001\u7279\u306b\u76f8\u5bfe\u8ad6\u7684\u30d7\u30ed\u30bb\u30b9\u3067\u306f\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306e\u4ee3\u308f\u308a\u306b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6\u3092\u4ecb\u3057\u3066\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306e\u5171\u5909\u91cf\u8868\u73fe\u304c\u671b\u307e\u308c\u3001\u305d\u306e\u52b9\u679c\u306f\u7d42\u308f\u308a\u307e\u3057\u305f s = \u222b d4\u30d0\u30c4 \u2212gL{displaystyle s = int mathrm {d} ^{4} x\u3001{sqrt {-g}}\u3001{mathcal {l}}} \u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059 g {displaystyle g} \u30e1\u30fc\u30c8\u30eb\u30c6\u30f3\u30bd\u30eb\u306e\u6c7a\u5b9a\u8981\u56e0\u306f\u3067\u3059\u3002 [\u521d\u3081] \u3053\u308c\u306b\u3088\u308a\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306f\u30ed\u30fc\u30ec\u30f3\u30c4pseudoskalar\u3001\u3064\u307e\u308a\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u306e\u4e0b\u3067\u4e0d\u5909\u306b\u306a\u308a\u307e\u3059\u3002 L\u2032\uff08 x\u03bc\uff09\uff09 = L\uff08 x\u03bc\u2032\uff09\uff09 = L\uff08 x\u03bc\uff09\uff09 {displaystyle {mathcal {l}} ‘\uff08x_ {mu}\uff09= {mathcal {l}}\uff08x’ _ {mu}\uff09= {mathcal {l}}\uff08x_ {mu}\uff09} \u3068 x\u03bc\u2032= \u039b\u03bc\u03bdx\u03bd{displaystyle x ‘_ {mu} = lambda _ {mu nu} x^{nu}} \u3001\u305d\u308c\u306b\u3088\u3063\u3066 \u039b\u03bc\u03bd{displaystyle lambda _ {mu nu}} \u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u306f\u3067\u3059\u3002 \u2191  \u30af\u30ea\u30f3\u30c8\u30f3L.\u30eb\u30a4\u30b9\uff1a \u660e\u793a\u7684\u306a\u30b2\u30fc\u30b8\u30b3\u30d0\u30ea\u30a8\u30f3\u30c8\u30aa\u30a4\u30e9\u30fc – \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u65b9\u7a0b\u5f0f \u3002\u306e\uff1a \u30a2\u30e1\u30ea\u30ab\u306e\u7269\u7406\u5b66\u30b8\u30e3\u30fc\u30ca\u30eb \u3002 \u30d0\u30f3\u30c9  77 \u30012009\u5e74\u3001 S.  839 \u3001doi\uff1a 10.1119\/1,3153503 \u3002         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/12083#breadcrumbitem","name":"\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5bc6\u5ea6\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]