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Relation between Dimension and Angular Momentum for Radially Symmetric Potential in $N$-dimensional Space

Zhao Wei-Qin
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Abstract

It is proved that when solving Schroedinger equations for radially symmetric potentials the effect of higher dimensions on the radial wave function is equivalent to the effect of higher angular momenta in lower dimensional cases. This result is applied to giving solutions for several radially symmetric potentials in N-dimension.

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Zhao Wei-Qin. 2005-11-09. Relation between Dimension and Angular Momentum for Radially Symmetric Potential in $N$-dimensional Space. https://arxiv.org/abs/quant-ph/0511086

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