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Effects of Generalized Uncertainty Principle on the $$\mathbf (1+1) $$ Dimensional DKP Oscillator with Linear Potential

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Based on $$ 3\times 3$$ irreducible representation of Duffin–Kemmer–Petiau (DKP) algebras, we obtain the bound-states energy spectrum, the wave function and the probability density of DKP oscillator with linear potential… Click to show full abstract

Based on $$ 3\times 3$$ irreducible representation of Duffin–Kemmer–Petiau (DKP) algebras, we obtain the bound-states energy spectrum, the wave function and the probability density of DKP oscillator with linear potential under the effect of Generalized Uncertainty Principle in the momentum space representation. In addition, the numerical results of the bound-states energy spectrum are discussed. It shows that the deformation parameter $$\beta $$ and the linear potential parameter $$\lambda $$ have non-negligible effect on the $$(1 + 1)$$ dimensional DKP oscillator system.

Keywords: linear potential; dkp; dkp oscillator; oscillator linear; generalized uncertainty

Journal Title: Few-body Systems
Year Published: 2020

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