ENERGY-LEVELS OF THE SCHRODINGER-EQUATION FOR SOME RATIONAL POTENTIALS USING THE HYPERVIRIAL METHOD

Authors
WITWIT MRM KILLINGBECK JP
Citation
Mrm. Witwit et Jp. Killingbeck, ENERGY-LEVELS OF THE SCHRODINGER-EQUATION FOR SOME RATIONAL POTENTIALS USING THE HYPERVIRIAL METHOD, Canadian journal of physics, 70(12), 1992, pp. 1261-1266
Citations number
18
Categorie Soggetti
Physics
Journal title
Canadian journal of physics → ACNP
ISSN journal
00084204
Volume
70
Issue
12
Year of publication
1992
Pages
1261 - 1266
Database
ISI
SICI code
0008-4204(1992)70:12<1261:EOTSFS>2.0.ZU;2-Z
Abstract
The energy levels of a one-dimensional system are calculated for the r ational potentials, V(x) = x2 + lambdax2/(1 + gx2) and V-/+(x) = x2/2 -/+ gx2L/(1 + galphax2), with (2L = 4,6). We use the hypervirial metho d and Pade approximants over a wide range of values of the perturbatio n parameters (alpha, g, lambda) and for various states. The numerical results agree with those of previous workers where they are available.