Authors: V.A.Induchoodan Menon
De Broglie when he introduced the concept of the phase wave to represent a particle, he assumed that in the rest frame of reference the particle will have the form of a standing vibration. According to the author, this was a serious mistake. He shows that instead, had de Broglie assumed a standing luminal wave structure for the particle, it would have led him to very exciting insights. The author shows that in a relativistic transformation the average energy and the momentum of the forward and the reverse waves forming the standing wave transform exactly like the energy and momentum of a particle. Besides, the plane wave expansion which is used to represent a particle in quantum mechanics is found to emerge directly from this standing wave structure. He proposes to extend the approach to incorporate the spin of the particle and also provide a simple explanation for the Pauli's exclusion principle.
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