Minimal Length and Generalized Dirac Equation

Details Minimal Length and Generalized Dirac Equation Minimal Length and Generalized Dirac Equation

2005-07-03

arxiv.org/abs/hep-th/0507028v1

Mod.Phys.Lett. A20 (2005) 3095-3104

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figure

Scientific paper

10.1142/S0217732305018517

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.

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