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Relation Between Dimension and Angular Momentum for Radially Symmetric Potential in N-Dimensional Space
Authors:ZHAO Wei-Qin
Affiliation:China Center of Advanced Science and Technology CCAST World Lab., P.O. Box 8730, Beijing 100080, China;Institute of High Energy Physics, the Chinese Academy of Sciences, P.O. Box 918(4-1), Beijing 100049, China
Abstract:It is proved that when solving Schr(o)dinger 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 dimensions.
Keywords:N-dimensional Schr(o)dinger equation   radially symmetric potential   dimension and angular momentum
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