Hall, Richard L. ; Saad, Nasser ; Sen, K. D. (2011) Spectral characteristics for a spherically confined −a/r + br2 potential Journal of Physics A: Mathematical and Theoretical, 44 (18). No pp. given. ISSN 1751-8113
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Official URL: http://iopscience.iop.org/1751-8121/44/18/185307
Related URL: http://dx.doi.org/10.1088/1751-8113/44/18/185307
Abstract
We consider the analytical properties of the eigenspectrum generated by a class of central potentials given by V(r)=−a/r + br2, b > 0. In particular, scaling, monotonicity, and energy bounds are discussed. The potential V(r) is considered both in all space, and under the condition of spherical confinement inside an impenetrable spherical boundary of radius R. With the aid of the asymptotic iteration method, several exact analytic results are obtained which exhibit the parametric dependence of energy on a, b, and R, under certain constraints. More general spectral characteristics are identified by use of a combination of analytical properties and accurate numerical calculations of the energies, obtained by both the generalized pseudo-spectral method, and the asymptotic iteration method. The experimental significance of the results for both the free and confined potential V(r) cases are discussed.
Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics. |
ID Code: | 45061 |
Deposited On: | 24 Jun 2011 13:57 |
Last Modified: | 18 May 2016 01:27 |
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