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By Ludwig Bergmann, Clemens Schaefer, Herausgegeben Von Wilhelm Raith, Mit Beitragen Von H. Kleinpoppen, N. Risch, M. Fink

ISBN-10: 3110168006

ISBN-13: 9783110168006

Bergmann L., Schaefer C., Herausgegeben Von Wilhelm Raith., Mit Beitragen Von H. Kleinpoppen., Risch N., Fink M. Lehrbuch Der Experimentalphysik.. Band 4.. Bestandteile Der Materie (Walter De Gruyter Inc, 2004)(ISBN 3110168006)

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For an account of Planck’s paper, see [27, pp. 360–362]. 23 10 L. Corry possibilities, noting that Poincar´e’s results had hitherto been far from conclusive. 26 This also seems to have been Minkowski’s opinion, and he left the more elaborate treatment of this point for a later occasion. 28 The talk was delivered at the meeting of the G¨ottingen Scientific Society (GWG) on December 21, 1907, only 2 weeks after Klein had lectured at the GMG on the possible applications of the quaternion calculus to the theory of the electron and its relation to the principle of relativity.

Since v < 1 (axiom 2), Minkowski could apply a result obtained in the first part, according to which the vector v can be put in a one-to-one relation with the quadruple vx vy vz i w1 D p ; w2 D p ; w3 D p ; w4 D p 2 2 2 1 v 1 v 1 v 1 v2 which satisfies the following relation: w21 C w22 C w23 C w24 D 1: Again from the results of the first part, it follows that this quadruple transforms as a space-time vector of type I. ” Now, if v D 0, by axiom 1, Eqs. 5) are also valid for this case. If v ¤ 0, since jvj < 1, again the results of earlier sections allow the introduction of a transformation for which w1 0 D 0; w2 0 D 0; w3 0 D 0; w4 0 D i: In this case, we also obtain a transformed velocity v0 D 0.

Also in Annalen der Physik 26 (1908), p. ) 5 H. Minkowski, “Die Grundgleichungen f¨ur die elektromagnetischen Vorg¨ange in bewegten K¨orpern”, G¨ottinger Nachrichten 1908, p. 53. x; y; z; t/ angreift, wo der Bewegungsvektor x; P y; P zP; tP ist, als welche Kraft ist diese Kraft bei ¨ einer beliebigen Anderung des Bezugsystemes aufzufassen? Nun existieren gewisse erprobte Ans¨atze u¨ ber die ponderomotorische Kraft im elektromagnetischen Felde in den F¨allen, wo die Gruppe Gc unzweifelhaft zuzulassen ist.

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Lehrbuch der Experimentalphysik/ 4, Bestandteile der Materie - Atome, Moleküle, Atomkerne, Elementarteilchen / Hrsg. Wilhelm Raith. Autoren Manfred Fink . by Ludwig Bergmann, Clemens Schaefer, Herausgegeben Von Wilhelm Raith, Mit Beitragen Von H. Kleinpoppen, N. Risch, M. Fink


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