Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D – dimensions

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Main Author: Uduakobong Sunday Okorie
Format: Artículo científico
Language:en
Published: Universidade Estadual Paulista Júlio de Mesquita Filho 2020
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author Uduakobong Sunday Okorie
author_facet Uduakobong Sunday Okorie
contents Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D – dimensions Uduakobong Sunday Okorie Akpan Ndem Ikot Precious Ogbonda Amadi Alalibo Thompson Ngiangia Etebong Emmanuel Ibekwe Química energy Greene Nikiforov Uvarov method Schrödinger equation Within the framework of the conventional Nikiforov-Uvarov method and a new form of Greene-Aldrich approximation scheme, we solved the Schrödinger equation with the energy-dependent screened Coulomb potential. Energy eigenvalues and energy eigenfunctions were obtained both approximately and numerically at different dimensions. The energy variations with different potential parameters, quantum numbers and energy slope parameter, respectively were also discussed graphically. The major finding of this research is the effect of the energy slope parameter on the energy spectra, which is seen in the existence of two simultaneous energy values for a particular quantum state. Our special cases also agree with the results obtained from literature, when the energy slope parameter is zero. 2020 artículo científico 0100-4670 https://www.redalyc.org/articulo.oa?id=42964416004 https://www.redalyc.org/journal/429/42964416004/ https://www.redalyc.org/journal/429/42964416004/html/ https://www.redalyc.org/journal/429/42964416004/42964416004.epub https://www.redalyc.org/journal/429/42964416004/movil https://doi.org/10.26850/1678-4618eqj.v45.4.2020.p40-56 en http://www.redalyc.org/revista.oa?id=429 Eclética Química application/pdf Universidade Estadual Paulista Júlio de Mesquita Filho Eclética Química (Brasil) Num.4 Vol.45
format Artículo científico
id redalyc_42964416004
institution Redalyc
language en
publishDate 2020
publisher Universidade Estadual Paulista Júlio de Mesquita Filho
spellingShingle Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D – dimensions
Uduakobong Sunday Okorie
Química
energy
Greene
Nikiforov
Uvarov method
Schrödinger equation
Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D – dimensions Uduakobong Sunday Okorie Akpan Ndem Ikot Precious Ogbonda Amadi Alalibo Thompson Ngiangia Etebong Emmanuel Ibekwe Química energy Greene Nikiforov Uvarov method Schrödinger equation Within the framework of the conventional Nikiforov-Uvarov method and a new form of Greene-Aldrich approximation scheme, we solved the Schrödinger equation with the energy-dependent screened Coulomb potential. Energy eigenvalues and energy eigenfunctions were obtained both approximately and numerically at different dimensions. The energy variations with different potential parameters, quantum numbers and energy slope parameter, respectively were also discussed graphically. The major finding of this research is the effect of the energy slope parameter on the energy spectra, which is seen in the existence of two simultaneous energy values for a particular quantum state. Our special cases also agree with the results obtained from literature, when the energy slope parameter is zero. 2020 artículo científico 0100-4670 https://www.redalyc.org/articulo.oa?id=42964416004 https://www.redalyc.org/journal/429/42964416004/ https://www.redalyc.org/journal/429/42964416004/html/ https://www.redalyc.org/journal/429/42964416004/42964416004.epub https://www.redalyc.org/journal/429/42964416004/movil https://doi.org/10.26850/1678-4618eqj.v45.4.2020.p40-56 en http://www.redalyc.org/revista.oa?id=429 Eclética Química application/pdf Universidade Estadual Paulista Júlio de Mesquita Filho Eclética Química (Brasil) Num.4 Vol.45
title Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D – dimensions
topic Química
energy
Greene
Nikiforov
Uvarov method
Schrödinger equation
url https://www.redalyc.org/articulo.oa?id=42964416004
https://www.redalyc.org/journal/429/42964416004/
https://www.redalyc.org/journal/429/42964416004/html/
https://www.redalyc.org/journal/429/42964416004/42964416004.epub
https://www.redalyc.org/journal/429/42964416004/movil
https://doi.org/10.26850/1678-4618eqj.v45.4.2020.p40-56