Authors: Peter Sujak
This paper analyzes the quantities of energy and momentum in the definitional relationship of relativistic mechanics, in the de Broglie momentum hypothesis and in the Klein-Gordon, Dirac and Schrodinger equation. The results of analysis show that Planck constant and relativistic relationships on the length contraction and increase in mass are a reflection of the same physical principles in nature, that instead of identifying λ as the wave of matter in the de Broglie hypothesis h/λ=mv with the rest state λ=∞ this λ must be connected with the real dimension of particle λ=lo with the rest state value h/λo= moc= hνo/c and that on this basis we can come to the fundamental equations of quantum mechanics that are the Klein-Gordon, Dirac and Schrodinger equation without the necessity of the wave functions. The results of analysis show that energies in relativistic mechanics as mc2, mvc, moc2 and energy of a photon hν do not represent quantity of energy, but quantity of momentum multiplied by c, so mc.c, mv.c, moc.c, hν/c.c and merely the dimension of such quantities equals in dimension the quantity of energy.
Comments: 8 pages
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