Quasi-relativistic harmonic oscillator bound states

Citation
O. Mustafa et M. Odeh, Quasi-relativistic harmonic oscillator bound states, J PHYS A, 32(38), 1999, pp. 6653-6662
Citations number
21
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
38
Year of publication
1999
Pages
6653 - 6662
Database
ISI
SICI code
0305-4470(19990924)32:38<6653:QHOBS>2.0.ZU;2-9
Abstract
The quasi-relativistic harmonic oscillator bound states constructed by Znoj il (1996 J. Phys. A: Math. Gen. 29 2905) are investigated via a new methodi cal proposal. Compared with those obtained by an anonymous referee (from a direct numerical integration method) of Znojil's paper, our results appear to be more favourable than those obtained by Znojil via quasi-perturbative, variational, Hill-determinant and Riccati-Pade methods. Bound states with larger angular momenta, l, are also constructed.