Einstein, Albert; Laub, Jakob. 'Über die elektromagnetischen Grundgleichungen für bewegte Körper'. Annalen der Physik, 26 (1908)

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<p class="noindent">wobei gesetzt ist:</p>
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<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/Einst_Ueber_de_1908_029x.png" alt=" ' Gx = G x, ( ' v- ') Gy = b G y + c B z , ( v ) Gz = b G'z- -B'y , { c Dx = D' , x( ) D = b D' + v-H' , y y c z ( ' v- ') Dz = b D z- c Hy ; " class="math-display"/>
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<td width="5%">(6)</td>
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<center class="math-display">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/Einst_Ueber_de_1908_0210x.png" alt=" ' Hx = H x, ( v ) Hy = b H'y- --D'z , ( c ) Hz = b H' + v-D' , { z c y B = B' , x x( ) ' v- ' By = b B y- c G z , ( v ) Bz = b B'z +--G'y , c " class="math-display"/>
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<td width="5%">(7)</td>
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<p class="noindent">und</p>
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<center class="math-display">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/Einst_Ueber_de_1908_0211x.png" alt=" ( ' v- ') r = b r + c qx , " class="math-display"/>
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<td width="5%">(8)</td>
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<a id="x1-14r9"/>
<center class="math-display">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/Einst_Ueber_de_1908_0212x.png" alt=" ( v ) qx = b q'x + --r' , { c qy = q'y , ' qz = qz . " class="math-display"/>
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<td width="5%">(9)</td>
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<p class="noindent">Will man die Ausdrücke für die gestrichenen Größen als
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Funktion der ungestrichenen haben, so vertauscht man die
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gestrichenen und ungestrichenen Größen und ersetzt
<span class="cmmi-12">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-1d.png" alt="v" class="12x-x-1d"/>
</span>
durch
<span class="cmsy-10x-x-120">-</span>
<span class="cmmi-12">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-1d.png" alt="v" class="12x-x-1d"/>
.</span>
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<p class="indent"> Die Gleichungen (1a) bis (4a), welche die elektromagne-
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tischen Vorgänge relativ zum System
<span class="cmmi-12">K </span>
beschreiben, haben
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dieselbe Gestalt, wie die Gleichungen (1) bis (4).
<span class="cmti-12">Wir wollen </span>
<br/>
<span class="cmti-12">daher die Gr</span>
<span class="cmti-12">ö</span>
<span class="cmmi-12">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-c.png" alt="b" class="cmmi-12x-x-c" align="middle"/>
</span>
<span class="cmti-12">en</span>
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<div class="center">
<p class="noindent"/>
<p class="noindent">G, D, H, B,
<span class="cmmi-12">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-25.png" alt="r" class="cmmi-12x-x-25" align="middle"/>
,
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-18.png" alt="q" class="cmmi-12x-x-18" align="middle"/>
</span>
</p>
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<p class="noindent">analog benennen,
<span class="cmti-12">wie die entsprechenden Gr</span>
<span class="cmti-12">ö</span>
<span class="cmmi-12">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-c.png" alt="b" class="cmmi-12x-x-c" align="middle"/>
</span>
<span class="cmti-12">en relativ zum </span>
<br/>
<span class="cmti-12">System </span>
<span class="cmmi-12">K</span>
<span class="cmsy-10x-x-120">'</span>
<span class="cmti-12">. Es sind</span>
<span class="cmti-12">also </span>
G, D, H, B,
<span class="cmmi-12">
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-25.png" alt="r" class="cmmi-12x-x-25" align="middle"/>
,
<img src="http://foxridge.mpiwg-berlin.mpg.de/permanent/einstein/annalen/Einst_Ueber_de_1908_02/fulltext/img/cmmi12-18.png" alt="q" class="cmmi-12x-x-18" align="middle"/>
</span>
<span class="cmti-12">die elektrische Kraft, </span>
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<span class="cmti-12">die dielektrische Verschiebung, die</span>
<span class="cmti-12">magnetische Kraft, die magne- </span>
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</p>
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