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Recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogenlike atoms
by
J. L. Cardoso
,
N. R. Quintero
| Venue: | J. Phys. A: Math. Gen |
| Citations: | 6 - 2 self |
BibTeX
@ARTICLE{Cardoso_recurrencerelations,
author = {J. L. Cardoso and N. R. Quintero},
title = {Recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogenlike atoms},
journal = {J. Phys. A: Math. Gen},
year = {},
pages = {2055--2068}
}
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Abstract
Abstract. Using a general procedure for nding recurrence relations for hypergeometric functions and polynomials introduced by Cardoso et al. [J. Phys. A 36 (2003), 2055-2068] we obtain some new recurrence relations for the radial wave functions of the N-th dimensional isotropic harmonic oscillators as well as the hydrogenlike atoms. A numerical analysis of such recurrences is also presented. 2000 Mathematics Subject Classication 33C45, 11B37, 81Q99 1.
