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

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dc.creatorDong, Shi-Hai
dc.date2000-03-22
dc.date.accessioned2026-07-07T05:59:45Z
dc.date.available2026-07-07T05:59:45Z
dc.descriptionBy applying an ansatz to the eigenfunction, an exact closed form solution of the Schrödinger equation in 2D is obtained with the potentials, $V(r)=ar^2+br^4+cr^6$, $V(r)=ar+br^2+cr^{-1}$ and $V(r)=ar^2+br^{-2}+cr^{-4}+dr^{-6}$, respectively. The restrictions on the parameters of the given potential and the angular momentum $m$ are obtained.
dc.descriptionLatex files and accepted by Inter. J. Theor. Phys. 39, No. 4
dc.identifierhttps://arxiv.org/abs/quant-ph/0003100
dc.identifierhttp://arxiv.org/abs/quant-ph/0003100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88795
dc.subjectQuantum Physics
dc.titleExact Solutions of the two-dimensional Schrödinger equation with certain central potentials
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