Safari F. «The coupled scalar field and GUP in cosmology with supersymmetry quantum mechanics» Вестник Московского университета. Серия 3: Физика. Астрономия, № 3, http://vmu.phys.msu.ru/toc/2020/3 (2020)

In this paper, we consider the GUP with conformally coupled scalar field. Also, we use the coupled scalar field with Fridman–Robertson–Walker (FRW) quantum cosmology with an appropriate initial condition. The GUP-corrected Wheeler–De Witt equation in momentum space lead us to introduce the factorization method. This method helps us to obtain the exact solution for the corresponding system. So, here we factorize 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 energy spectrum with some condition.