Exact Solutions of the two-dimensional Schrödinger equation with certain central potentials

نویسنده

  • Shi-Hai Dong
چکیده

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@phys. ksu. edu

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تاریخ انتشار 2000