Related papers: Bound states of a quartic and sextic inverse-powerlaw potential for all angular momenta

Bound states of a quartic and sextic inverse-powerlaw potential for all angular momenta

URL: http://arxiv.org/abs/2103.03349v1
Date: Wed, 3 Mar 2021 14:34:34 GMT
Title: Bound states of a quartic and sextic inverse-powerlaw potential for all angular momenta
Authors: A. D. Alhaidari, I. A. Assi, A. Mebirouk
Abstract summary: We use the tridiagonal representation approach to solve the radial Schr"odinger equation for an inverse power-law potential of a combined quartic and sextic degrees. The amplitude of the quartic singularity is larger than that of the sextic but the signs are negative and positive, respectively.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We use the tridiagonal representation approach to solve the radial Schr\"odinger equation for an inverse power-law potential of a combined quartic and sextic degrees and for all angular momenta. The amplitude of the quartic singularity is larger than that of the sextic but the signs are negative and positive, respectively. It turns out that the system has a finite number of bound states, which is determined by the larger ratio of the two singularity amplitudes. The solution is written as a finite series of square integrable functions written in terms of the Bessel polynomial.

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