A SUFFICIENT CONDITION FOR THE EXISTENCE OF BOUND-STATES IN A POTENTIAL

Citation
K. Chadan et R. Kobayashi, A SUFFICIENT CONDITION FOR THE EXISTENCE OF BOUND-STATES IN A POTENTIAL, Journal of mathematical physics, 38(10), 1997, pp. 4900-4908
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
38
Issue
10
Year of publication
1997
Pages
4900 - 4908
Database
ISI
SICI code
0022-2488(1997)38:10<4900:ASCFTE>2.0.ZU;2-R
Abstract
For a wide class of purely attractive potentials, we obtain a new suff icient condition for the existence of bound states for any angular mom entum. Applied to some exactly soluble cases, the condition gives good results as compared to exact results. (C) 1997 American Institute of Physics.