Shifted 1/N expansion and exact solutions for the potential V(r)=-Z/r+gr+λr2
- 7 July 1988
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (13) , 3025-3034
- https://doi.org/10.1088/0305-4470/21/13/025
Abstract
The authors have found an infinite number of exact solutions for the hydrogenic atom in the external potential V(r)=gr+λr2, not only for an s-wave state but for higher waves as well, from supersymmetric considerations. The general Schrodinger equation has been treated by the shifted 1/N expansion method. The eigenvalues obtained from the shifted 1/N expansion are compared with those obtained by Bessis et al (1987) and also with the supersymmetric exact values.Keywords
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