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  1. 2 Open Physics

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  1. 1 2008

  2. 1 2007

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  1. 2 Ikhdair S.

  2. 2 Sever R.

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Exact solutions of the radial Schrödinger equation for some physical potentials

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Ikhdair S., Sever R.
|
EN
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.
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On solutions of the Schrödinger equation for some molecular potentials: wave function ansatz

86%
Ikhdair S., Sever R.
Open Physics
|
2008
|
vol. 6
|
issue 3
697-703
EN
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.
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