Study of a class of non-polynomial oscillator potentials
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.39, no.24, pp.7745-7756, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 39 Issue: 24
- Publication Date: 2006
- Doi Number: 10.1088/0305-4470/39/24/011
- Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.7745-7756
- Open Archive Collection: AVESIS Open Access Collection
- Gazi University Affiliated: Yes
Abstract
We develop a variational method to obtain accurate bounds for the eigenenergies of H = -Delta + V in arbitrary dimensions N > 1, where V(r) is the nonpolynomial oscillator potential V(r) = r(2) + 1+gr(2)/lambda r(2), lambda is an element of (-infinity,infinity),g > 0. The variational bounds are compared with results previously obtained in the literature. An infinite set of exact solutions is also obtained and used as a source of comparison eigenvalues.