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Exact solutions of the radial Schrödinger equation for some physical potentials

100%

Ikhdair S. , Sever R.

Open Physics

2007

tom 5

nr 4

516-527

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.

On solutions of the Schrödinger equation for some molecular potentials: wave function ansatz

86%

Ikhdair S. , Sever R.

Open Physics

2008

tom 6

nr 3

697-703

Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrödinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, δ and ν are also given, where η depends on a linear combination of the angular momentum quantum number ℓ and the spatial dimensions D and δ is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigensolutions recover their standard analytical forms in literature.