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arxiv: 0712.4054 · v1 · submitted 2007-12-25 · 🪐 quant-ph

Iterative Solution for Generalized Sombrero-shaped Potential in N-dimensional Space

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keywords dimensionalgeneralizediterativepotentialsolutionsombrero-shapedconditionconvergence
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An explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with generalized $N$-dimensional Sombrero-shaped potential is presented. The condition for the convergence of the iteration procedure and the dependence of the shape of the groundstate wave function on the parameters are discussed.

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