The Exact Solution to the Schrödinger Equation with the Octic Potential

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dc.creatorDong, Shi-Hai
dc.creatorMa, Zhong-Qi
dc.date1999-01-15
dc.date.accessioned2026-07-07T06:16:03Z
dc.date.available2026-07-07T06:16:03Z
dc.descriptionThe Schrödinger equation with the central potential is first studied in the arbitrary dimensional spaces and obtained an analogy of the two-dimensional Schrödinger equation for the radial wave function through a simple transformation. As an example, applying an ${\it ansatz}$ to the eigenfunctions, we then arrive at an exact closed form solution to the modified two-dimensional Schrödinger equation with the octic potential, $V(r)=ar^2-br^4+cr^6-dr^4+er^{10}$.
dc.descriptionLatex file 9 pages and submit to J. P. A
dc.identifierhttps://arxiv.org/abs/quant-ph/9901037
dc.identifierhttp://arxiv.org/abs/quant-ph/9901037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93945
dc.subjectQuantum Physics
dc.titleThe Exact Solution to the Schrödinger Equation with the Octic Potential
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