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

Details 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

2005-11-09

arxiv.org/abs/quant-ph/0511086v1

Physics

Quantum Physics

16 pages

Scientific paper

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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