A set of exact solutions for singular integral equation and a divergence problem of 1D hydrogen atom in momentum representation

Citation
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
Citations number
9
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN journal
02536102 → ACNP
Volume
33
Issue
4
Year of publication
2000
Pages
697 - 700
Database
ISI
SICI code
0253-6102(20000615)33:4<697:ASOESF>2.0.ZU;2-W
Abstract
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.