MINIMAL LENGTH AND GENERALIZED DIRAC EQUATION

MINIMAL LENGTH AND GENERALIZED DIRAC EQUATION

Existence of a minimal observable length which has been indicated by string theory and quantum gravity, leads to a modification of Dirac equation. In this letter we find this modified Dirac equation and solve its eigenvalue problem for a free particle. We will show that due to background spacetime f...

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Veröffentlicht in:Modern physics letters A 2005-12, Vol.20 (40), p.3095-3103
Hauptverfasser: NOZARI, KOUROSH, KARAMI, MOJDEH
Format: Artikel
Sprache:eng
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Zusammenfassung:Existence of a minimal observable length which has been indicated by string theory and quantum gravity, leads to a modification of Dirac equation. In this letter we find this modified Dirac equation and solve its eigenvalue problem for a free particle. We will show that due to background spacetime fluctuation, it is impossible to have free particle in Planck scale.
ISSN:0217-7323
1793-6632
DOI:10.1142/S0217732305018517