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Relation Between Dimension and Angular Momentum for Radially Symmetric Potential in N-Dimensional Space |
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| 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 Academyof Sciences, P.O. Box 918(4-1), Beijing 100049, China |
| Abstract: | It is proved that when solving SchrSdinger 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 Schrodinger equation radially symmetric potential dimension and angular momentum |
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