Abstract
A D-dimensional Schrödinger equation with a Coulomb plus inverse-square potential is carried out. The relationship between the energy E(n,l,D) and the dimension D is analyzed in great detail. It is shown that the E(n,0,D) first decreases for D ∊ (0,2] and then increases for D ≥ 2. The energy E(n,l,D) is almost independent of the quantum number l for large D, but the quantum number l plays some role in the energy E(n,l,D) when the dimension D is not too large.
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