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• W2034361213 startingPage "295" @default.
• W2034361213 abstract "In this Letter, we consider the effects of the Generalized (Gravitational) Uncertainty Principle (GUP) on the eigenvalues and the eigenfunctions of the Dirac equation. This form of GUP is consistent with various candidates of quantum gravity such as string theory, loop quantum gravity, doubly special relativity and black hole physics and predicts both a minimum measurable length and a maximum measurable momentum. The modified Hamiltonian contains two additional terms proportional to a(α→⋅p)2 and a2(α→⋅p)3 where αi are Dirac matrices and a∼1/MPlc is the GUP parameter. For the case of the Dirac free particle and the Dirac particle in a box, we solve the generalized Dirac equation and find the modified energy eigenvalues and eigenfunctions." @default.
• W2034361213 created "2016-06-24" @default.
• W2034361213 creator A5055744942 @default.
• W2034361213 date "2011-08-01" @default.
• W2034361213 modified "2023-10-16" @default.
• W2034361213 title "Dirac particle in gravitational quantum mechanics" @default.
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• W2034361213 doi "https://doi.org/10.1016/j.physletb.2011.07.014" @default.
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