In undulatory mechanics the rest mass of a particle is associated to a rest periodicity known as Compton periodicity. In carbon nanotubes the Compton periodicity is determined geometrically, through dimensional reduction, by the circumference of the curled-up dimension, or by similar spatial constraints to the charge carrier wave function in other condensed matter systems. In this way the Compton periodicity is effectively reduced by several orders of magnitude with respect to that of the electron, allowing for the possibility to experimentally test foundational aspects of quantum mechanics. We present a novel powerful formalism to derive the electronic properties of carbon nanotubes, in agreement with the results known in literature, from simple geometric and relativistic considerations about the Compton periodicity as well as a dictionary of analogies between particle and graphene physics.
On the Compton clock and the undulatory nature of particle mass in graphene systems
DOLCE, DONATELLO;PERALI, Andrea
2015-01-01
Abstract
In undulatory mechanics the rest mass of a particle is associated to a rest periodicity known as Compton periodicity. In carbon nanotubes the Compton periodicity is determined geometrically, through dimensional reduction, by the circumference of the curled-up dimension, or by similar spatial constraints to the charge carrier wave function in other condensed matter systems. In this way the Compton periodicity is effectively reduced by several orders of magnitude with respect to that of the electron, allowing for the possibility to experimentally test foundational aspects of quantum mechanics. We present a novel powerful formalism to derive the electronic properties of carbon nanotubes, in agreement with the results known in literature, from simple geometric and relativistic considerations about the Compton periodicity as well as a dictionary of analogies between particle and graphene physics.File | Dimensione | Formato | |
---|---|---|---|
Perali_Andrea_p50_EPJplus_1400379_2015.pdf
solo gestori di archivio
Descrizione: Articolo principale
Tipologia:
Versione Editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
701.58 kB
Formato
Adobe PDF
|
701.58 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Dolce D. e Perali A., Eur. Phys. J. Plus, 2015,130, 41.pdf
accesso aperto
Descrizione: Pdf da arXiv:1403.7037v2 [physics.gen-ph]
Tipologia:
Documento in Pre-print
Licenza:
DRM non definito
Dimensione
1.06 MB
Formato
Adobe PDF
|
1.06 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.