期刊
MODERN PHYSICS LETTERS A
卷 20, 期 40, 页码 3095-3103出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732305018517
关键词
quantum gravity; generalized uncertainty principle; relativistic quantum mechanics; 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 fluctuation, it is impossible to have free particle in Planck scale.
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