Y. Liu et al., A set of exact solutions for singular integral equation and a divergence problem of 1D hydrogen atom in momentum representation, COMM TH PHY, 33(4), 2000, pp. 697-700
The divergence problem in momentum representation of some singular potentia
ls in Schrodinger equation is discussed. A set of exact solutions for a sin
gular integral equation and the criteria determining the solutions in momen
tum space are obtained. The problems on Loudon's symmetric solutions and co
unter example of nondegeneracy theorem are solved.