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Generalized Uncertainty Principle in Cosmology with Supersymmetry Quantum Mechanics

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Abstract

In this paper, we exactly solve the Wheeler-DeWitt equation in the presence of a conformally coupled scalar field and in the context of the generalized uncertainty principle (GUP). The GUP-corrected Wheeler—De Witt equation in momentum space leads us to introduce factorization method. This method helps us to obtain the exact solution for the corresponding system. So, here we factorize the second-order equation in terms of first-order operators. These first-order operators help us to arrange partner potential and superpotential. Also, we achieve the general quantum stats and energy spectrum for GUP with conformally coupled scalar field system. Also, we show that the stability of a system with the energy spectrum with some conditions.

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ACKNOWLEDGMENTS

The authors thanks the editor and anonymous reviewers for their constructive comments on the manuscript.

Funding

The work in this paper is supported by the Fundamental Research Funds for the Central Universities (no. 2018B16714), the National Natural Science Foundation of China (nos. 11702083, 11572111), the Natural Science Foundation of Jiangsu Province (no. BK20150795), and the State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and Astronautics) (no. MCMS-0218G01).

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Authors and Affiliations

  1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, International Center for Simulation Software in Engineering and Sciences, College of Mechanics and Materials, HohaiUniversity, 211100, Nanjing, China

    Farzaneh Safari

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  1. Farzaneh Safari
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Correspondence to Farzaneh Safari.

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Safari, F. Generalized Uncertainty Principle in Cosmology with Supersymmetry Quantum Mechanics. Moscow Univ. Phys. 75, 273–277 (2020). https://doi.org/10.3103/S0027134920030157

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