Volume 58, Number 2, April 2002
|Page(s)||169 - 175|
|Published online||01 August 2002|
A geometric interpretation of de Broglie wave-particle model
Dipartimento di Ingegneria, Università del
Sannio, Palazzo Bosco
Lucarelli Corso Garibaldi 107,
I-82100 Benevento, Italy and INFN, Sezione
di Napoli, Gruppo Collegato di Salerno - Salerno, Italy
Corresponding author: firstname.lastname@example.org
Accepted: 24 January 2002
We present a solution of the linearized field equations of Einstein General Relativity that can be interpreted as a model of a de Broglie quantum object formed by a wave and a particle. In the absence of external fields the particle travels at a constant velocity with its energy density localized in a spacetime region of the order of its Compton wavelength. The de Broglie wave packet, moving with the particle, acquires a clear geometric meaning being interpreted as a special kind of gravitational wave.
PACS: 04.30.-w – Gravitational waves: theory / 03.75.-b – Matter waves
© EDP Sciences, 2002
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