Quantum Studies of Some Non-Central Potentials

Heddar, MEBAREK (2021) Quantum Studies of Some Non-Central Potentials. Doctoral thesis, Université de mohamed kheider biskra.

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Abstract

In this thesis we conducted a quantum study of non-central potentials that can be studied analytically, where we addressed the solvable potentials in the 2D ordinary space where we addressed both the relativistic and non-relativistic states and as a results of the study we concluded the energy spectrum and the wave function of a charged particle circulating in these potentials ,in this case we studied in detail the Kratzer potential plus dipole potential, then the pseudoharmonic oscillator potential plus dipole potential. In the second stage, with the same previous study, we dealt with other potentials that can be solved in the 3D ordinary space, where in this case we studied in detail the ring-shaped potential plus Kratzer potential, then the ring-shaped potential plus the pseudoharmonic oscillator potential. In the final stages, we treated the same potentials with the same dimensions, but in the deformed space (de Sitter and anti-de Sitter) where we noted the influence of the deformation coefficient on the energy spectrum and its effect on the wave function, then we deduced the critical values of the deformation coefficient for the existence of bound states

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