arXiv Open Access 2021

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

A. D. Alhaidari I. A. Assi A. Mebirouk

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Abstrak

We use the tridiagonal representation approach to solve the radial Schrödinger 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.

Topik & Kata Kunci

quant-ph math.NA physics.app-ph

Penulis (3)

A. D. Alhaidari

I. A. Assi

A. Mebirouk

Format Sitasi

APA MLA BibTeX

Alhaidari, A.D., Assi, I.A., Mebirouk, A. (2021). Bound states of a quartic and sextic inverse-powerlaw potential for all angular momenta. https://arxiv.org/abs/2103.03349

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓