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Physical Mathematics

ISSN: 2090-0902

Open Access

Accidental Degeneracy of Hydrogen Atom Revisited

Abstract

Su WC

We examine accidental symmetry of hydrogen-like atoms analytically in spherical coordinates. Some unfamiliar but notable functional relations of the radial eigenfunctions of system’s Hamiltonian are constructed, for both discrete and continuous energy eigenvalues. Analytical similarity of the symmetry between two-dimensional and threedimensional hydrogen atoms are therefore demonstrated.

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