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.
               
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