Waves and Quanta

THE quantum relation, energy = h × frequency, leads one to associate a periodical phenomenon with any isolated portion of matter or energy. An observer bound to the portion of matter will associate with it a frequency determined by its internal energy, namely, by its “mass at rest.” An observer for whom a portion of matter is in steady motion with velocity c, will see this frequency lower in consequence of the Lorentz-Einstein time transformation. I have been able to show (Comptes rendus, September 10 and 24, of the Paris Academy of Sciences) that the fixed observer will constantly see the internal periodical phenomenon in phase with a wave the frequency of which is determined by the quantum relation using the whole energy of the moving body—provided it is assumed that the wave spreads with the velocity c/. This wave, the velocity of which is greater than c, cannot carry energy.

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DE BROGLIE, L. Waves and Quanta. Nature 112, 540 (1923). https://doi.org/10.1038/112540a0

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