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

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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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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11465006 and 11565009).

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Authors and Affiliations

  1. College of Physics, Guizhou University, Guiyang, 550025, Guizhou, China

    Hao Chen, Zheng-Wen Long, Zi-Long Zhao & Chao-Yun Long

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  1. Hao Chen
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  2. Zheng-Wen Long
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  3. Zi-Long Zhao
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Correspondence to Zheng-Wen Long.

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Chen, H., Long, ZW., Zhao, ZL. et al. Effects of Generalized Uncertainty Principle on the \(\mathbf (1+1) \) Dimensional DKP Oscillator with Linear Potential. Few-Body Syst 61, 11 (2020). https://doi.org/10.1007/s00601-020-1542-8

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