Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach

To obtain closed-form solutions for the radial Schrödinger wave equation with non-solvable potential models, we use a simple, easy, and fast perturbation technique within the framework of the asymptotic iteration method (PAIM). We will show how the PAIM can be applied directly to find the analytical...

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Autores principales:	Alrebdi Haifa Ibrahim, Barakat Thabit
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	alternative perturbation method quark–antiquark structures spin-dependent terms hadrons mass spectrum Physics QC1-999
Acceso en línea:	https://doaj.org/article/cfc09669d09545289d93672aba0ba76e
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id	oai:doaj.org-article:cfc09669d09545289d93672aba0ba76e
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spelling	oai:doaj.org-article:cfc09669d09545289d93672aba0ba76e2021-12-05T14:11:01ZClosed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach2391-547110.1515/phys-2021-0028https://doaj.org/article/cfc09669d09545289d93672aba0ba76e2021-04-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0028https://doaj.org/toc/2391-5471To obtain closed-form solutions for the radial Schrödinger wave equation with non-solvable potential models, we use a simple, easy, and fast perturbation technique within the framework of the asymptotic iteration method (PAIM). We will show how the PAIM can be applied directly to find the analytical coefficients in the perturbation series, without using the base eigenfunctions of the unperturbed problem. As an example, the vector Coulomb (∼1/r)\left( \sim 1\hspace{0.1em}\text{/}\hspace{0.1em}r) and the harmonic oscillator (∼r2)\left( \sim {r}^{2}) plus linear (∼r)\left( \sim r) scalar potential parts implemented with their counterpart spin-dependent terms are chosen to investigate the meson sectors including charm and beauty quarks. This approach is applicable in the same form to both the ground state and the excited bound states and can be easily applied to other strongly non-solvable potential problems. The procedure of this method and its results will provide a valuable hint for investigating tetraquark configuration.Alrebdi Haifa IbrahimBarakat ThabitDe Gruyterarticlealternative perturbation methodquark–antiquark structuresspin-dependent termshadrons mass spectrumPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 208-214 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	alternative perturbation method quark–antiquark structures spin-dependent terms hadrons mass spectrum Physics QC1-999
spellingShingle	alternative perturbation method quark–antiquark structures spin-dependent terms hadrons mass spectrum Physics QC1-999 Alrebdi Haifa Ibrahim Barakat Thabit Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach
description	To obtain closed-form solutions for the radial Schrödinger wave equation with non-solvable potential models, we use a simple, easy, and fast perturbation technique within the framework of the asymptotic iteration method (PAIM). We will show how the PAIM can be applied directly to find the analytical coefficients in the perturbation series, without using the base eigenfunctions of the unperturbed problem. As an example, the vector Coulomb (∼1/r)\left( \sim 1\hspace{0.1em}\text{/}\hspace{0.1em}r) and the harmonic oscillator (∼r2)\left( \sim {r}^{2}) plus linear (∼r)\left( \sim r) scalar potential parts implemented with their counterpart spin-dependent terms are chosen to investigate the meson sectors including charm and beauty quarks. This approach is applicable in the same form to both the ground state and the excited bound states and can be easily applied to other strongly non-solvable potential problems. The procedure of this method and its results will provide a valuable hint for investigating tetraquark configuration.
format	article
author	Alrebdi Haifa Ibrahim Barakat Thabit
author_facet	Alrebdi Haifa Ibrahim Barakat Thabit
author_sort	Alrebdi Haifa Ibrahim
title	Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach
title_short	Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach
title_full	Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach
title_fullStr	Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach
title_full_unstemmed	Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach
title_sort	closed-form solutions for the schrödinger wave equation with non-solvable potentials: a perturbation approach
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/cfc09669d09545289d93672aba0ba76e
work_keys_str_mv	AT alrebdihaifaibrahim closedformsolutionsfortheschrodingerwaveequationwithnonsolvablepotentialsaperturbationapproach AT barakatthabit closedformsolutionsfortheschrodingerwaveequationwithnonsolvablepotentialsaperturbationapproach
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Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach

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