Relation Between Dimension and Angular Momentum for Radially Symmetric Potential in N-Dimensional Space
Relation Between Dimension and Angular Momentum for Radially Symmetric Potential in N-Dimensional Space
摘要
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.
基金
The project partly supported by National Natural Science Foundation of China under Grant No. 10247001.The author would like to thank Prof. T.D. Lee for his continuous guidance and instruction.
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