Exact Noncommutative Two-Dimensional Hydrogen Atom

In this work, we present an exact analysis of the two-dimensional noncommutative hydrogen atom. In this study, the Levi-Civita transformation was used to perform the solution of the noncommutative Schrodinger equation for Coulomb potential. As an important result, we determine the energy levels for...

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Main Authors: B. C. Wang, E. C. Brenag, R. G. G. Amorim, V. C. Rispoli, S. C. Ulhoa
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2021/5562179
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author B. C. Wang
E. C. Brenag
R. G. G. Amorim
V. C. Rispoli
S. C. Ulhoa
author_facet B. C. Wang
E. C. Brenag
R. G. G. Amorim
V. C. Rispoli
S. C. Ulhoa
author_sort B. C. Wang
collection DOAJ
description In this work, we present an exact analysis of the two-dimensional noncommutative hydrogen atom. In this study, the Levi-Civita transformation was used to perform the solution of the noncommutative Schrodinger equation for Coulomb potential. As an important result, we determine the energy levels for the considered system. Using the result obtained and experimental data, a bound on the noncommutativity parameter was obtained.
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institution OA Journals
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1687-7365
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publisher Wiley
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series Advances in High Energy Physics
spelling doaj-art-85d377953a544d54ae3af78b9f2f689a2025-08-20T02:08:56ZengWileyAdvances in High Energy Physics1687-73571687-73652021-01-01202110.1155/2021/55621795562179Exact Noncommutative Two-Dimensional Hydrogen AtomB. C. Wang0E. C. Brenag1R. G. G. Amorim2V. C. Rispoli3S. C. Ulhoa4Faculdade Gama, Universidade de Brasília, 72444-240 Brasília, DF, BrazilFaculdade Gama, Universidade de Brasília, 72444-240 Brasília, DF, BrazilInternational Center of Physics and Faculdade Gama, Universidade de Brasília, 72444-240 Brasília, DF, BrazilFaculdade Gama, Universidade de Brasília, 72444-240 Brasília, DF, BrazilCanadian Quantum Research Center, 204-3002 32 Ave Vernon, BC, V1T 2L7, CanadaIn this work, we present an exact analysis of the two-dimensional noncommutative hydrogen atom. In this study, the Levi-Civita transformation was used to perform the solution of the noncommutative Schrodinger equation for Coulomb potential. As an important result, we determine the energy levels for the considered system. Using the result obtained and experimental data, a bound on the noncommutativity parameter was obtained.http://dx.doi.org/10.1155/2021/5562179
spellingShingle B. C. Wang
E. C. Brenag
R. G. G. Amorim
V. C. Rispoli
S. C. Ulhoa
Exact Noncommutative Two-Dimensional Hydrogen Atom
Advances in High Energy Physics
title Exact Noncommutative Two-Dimensional Hydrogen Atom
title_full Exact Noncommutative Two-Dimensional Hydrogen Atom
title_fullStr Exact Noncommutative Two-Dimensional Hydrogen Atom
title_full_unstemmed Exact Noncommutative Two-Dimensional Hydrogen Atom
title_short Exact Noncommutative Two-Dimensional Hydrogen Atom
title_sort exact noncommutative two dimensional hydrogen atom
url http://dx.doi.org/10.1155/2021/5562179
work_keys_str_mv AT bcwang exactnoncommutativetwodimensionalhydrogenatom
AT ecbrenag exactnoncommutativetwodimensionalhydrogenatom
AT rggamorim exactnoncommutativetwodimensionalhydrogenatom
AT vcrispoli exactnoncommutativetwodimensionalhydrogenatom
AT sculhoa exactnoncommutativetwodimensionalhydrogenatom