In this paper, we consider the non-central modified Kratzer potential. We tried to connect the corresponding Schrödinger equation to the associated Laguerre and Jacobi equation. For this purpose the factorization information from associated function was employed to solve the corresponding equations. It leads us to have some raising and lowering operators which are first-order equations. These operators help us to obtain all quantum states and energy spectrum for different n and m. The obtained results show that the degeneracy of the second quantum number (m) is completely removed
We study the first-order formalism for the two coupled scalar fields with the superpotential W(φ,χ). As we know, the cosmological solution crucially depends on the coupled scalar fields. Here, we deform the corresponding superpotential and obtain the solution for some cosmological parameters. Finally, we compare the deformed and non-deformed solutions with the different figures.
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