(Indian Academy of Sciences, 2009-01-01) Padmanabhan, T.
The Coulomb problem, which corresponds to motion in a potential that varies as r¡1, has a peculiar symmetry which leads to a phenomenon known as 'accidental' degeneracy. This curious feature exists both in the classical and quantum domain and is best understood by studying a more general potential and obtaining the Coulomb problem as a limiting case.