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• W3100183734 startingPage "4981" @default.
• W3100183734 abstract "In 2006 Quesne and Tkachuk (J. Phys. A: Math. Gen. {bf 39}, 10909, 2006) introduced a (D+1)-dimensional $(beta,beta')$-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal length. In this work, the Lagrangian formulation of the spinor field in a (3+1)-dimensional space-time described by Quesne-Tkachuk Lorentz-covariant deformed algebra is studied in the case where $beta'=2beta$ up to first order over deformation parameter $beta$. It is shown that the modified Dirac equation which contains higher order derivative of the wave function describes two massive particles with different masses. We show that physically acceptable mass states can only exist for $beta<frac{1}{8m^{2}c^{2}}$. Applying the condition $beta<frac{1}{8m^{2}c^{2}}$ to an electron, the upper bound for the isotropic minimal length becomes about $3 times 10^{-13}m$. This value is near to the reduced Compton wavelength of the electron $(lambda_c = frac{hbar}{m_{e}c} = 3.86times 10^{-13} m)$ and is not incompatible with the results obtained for the minimal length in previous investigations." @default.
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• W3100183734 date "2011-11-20" @default.
• W3100183734 modified "2023-10-01" @default.
• W3100183734 title "FORMULATION OF THE SPINOR FIELD IN THE PRESENCE OF A MINIMAL LENGTH BASED ON THE QUESNE–TKACHUK ALGEBRA" @default.
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• W3100183734 doi "https://doi.org/10.1142/s0217751x11054802" @default.
• W3100183734 hasPublicationYear "2011" @default.
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