Published November 19, 2004
| Version v1
Journal article
Critical strength of attractive central potentials
Creators
- 1. Groupe de Physique Nucleaire Theorique, Universite de Mons-Hainaut, Academie Universitaire Wallonie-Bruxelles, B-7000 Mons (Belgium)
- 2. Groupe de Physique Theorique, Institut de Physique Nucleaire, F-91406 Orsay CEDEX (France)
Description
We obtain several sequences of necessary and sufficient conditions for the existence of bound states applicable to attractive (purely negative) central potentials. These conditions yield several sequences of upper and lower limits on the critical value, g(l)c, of the coupling constant (strength), g, of the potential, V(r) = -gv(r), for which a first l-wave bound state appears, which converges to the exact critical value
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/11243/a4_46_010.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/11243/a4_46_010.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/46/010;
- PII
- S0305-4470(04)82171-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 46
- Journal Page Range
- p. 11243-11257
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36046708
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUND STATE; CENTRAL POTENTIAL; COUPLING CONSTANTS; EXACT SOLUTIONS; SEISMIC SURFACE WAVES
- Descriptors DEC
- MATHEMATICAL SOLUTIONS; POTENTIALS; SEISMIC WAVES