v 1 2 1 A ug 1 99 8 Schrödinger Equation with the Potential V ( r ) = ar 2 + br − 4 + cr − 6
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چکیده
By making use of an ansatz for the eigenfunction, we obtain the exact solutions to the Schrödinger equation with the anharmonic potential, V (r) = ar 2 + br−4 + cr−6, both in three dimensions and in two dimensions, where the parameters a, b, and c in the potential satisfy some constraints. PACS numbers: 03.65.Ge.
منابع مشابه
Exact Solutions of the two-dimensional Schrödinger equation with certain central potentials
By applying an ansatz to the eigenfunction, an exact closed form solution of the Schrödinger equation in 2D is obtained with the potentials, V (r) = ar2+br4+ cr 6, V (r) = ar+br2+cr−1 and V (r) = ar2+br−2+cr−4+dr−6, respectively. The restrictions on the parameters of the given potential and the angular momentum m are obtained. PACS numbers: 03. 65. -w and 03. 65. Ge. ∗Electronic address: dongsh...
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تاریخ انتشار 1998