Charged Scalar Boson in Melvin Universe

This work investigates the dynamics of a charged scalar boson in the Melvin universe by solving the Klein–Gordon equation with minimal coupling in both inertial and non-inertial frames. Non-inertial effects are introduced through a rotating reference frame, resulting in a modified spacetime geometry...

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Main Authors: Leonardo G. Barbosa, Luis C. N. Santos, João V. Zamperlini, Franciele M. da Silva, Celso C. Barros
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/6/193
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author Leonardo G. Barbosa
Luis C. N. Santos
João V. Zamperlini
Franciele M. da Silva
Celso C. Barros
author_facet Leonardo G. Barbosa
Luis C. N. Santos
João V. Zamperlini
Franciele M. da Silva
Celso C. Barros
author_sort Leonardo G. Barbosa
collection DOAJ
description This work investigates the dynamics of a charged scalar boson in the Melvin universe by solving the Klein–Gordon equation with minimal coupling in both inertial and non-inertial frames. Non-inertial effects are introduced through a rotating reference frame, resulting in a modified spacetime geometry and the appearance of a critical radius that limits the radial domain of the field. Analytical solutions are obtained under appropriate approximations, and the corresponding energy spectra are derived. The results indicate that both the magnetic field and non-inertial effects modify the energy levels, with additional contributions depending on the coupling between the rotation parameter and the quantum numbers. A numerical analysis is also presented, illustrating the behavior of the solutions for two characteristic magnetic field scales: one that may be considered extreme, of the order of the ones proposed to be produced in heavy-ion collisions, and another near the Planck scale.
format Article
id doaj-art-5d7dcc9dd646423dbcf628997baacced
institution Kabale University
issn 2218-1997
language English
publishDate 2025-06-01
publisher MDPI AG
record_format Article
series Universe
spelling doaj-art-5d7dcc9dd646423dbcf628997baacced2025-08-20T03:29:44ZengMDPI AGUniverse2218-19972025-06-0111619310.3390/universe11060193Charged Scalar Boson in Melvin UniverseLeonardo G. Barbosa0Luis C. N. Santos1João V. Zamperlini2Franciele M. da Silva3Celso C. Barros4Department of Physics, Federal University of Santa Catarina, Florianópolis 88040-900, SC, BrazilDepartment of Physics, Federal University of Santa Catarina, Florianópolis 88040-900, SC, BrazilDepartment of Physics, Federal University of Santa Catarina, Florianópolis 88040-900, SC, BrazilDepartment of Physics, Federal University of Santa Catarina, Florianópolis 88040-900, SC, BrazilDepartment of Physics, Federal University of Santa Catarina, Florianópolis 88040-900, SC, BrazilThis work investigates the dynamics of a charged scalar boson in the Melvin universe by solving the Klein–Gordon equation with minimal coupling in both inertial and non-inertial frames. Non-inertial effects are introduced through a rotating reference frame, resulting in a modified spacetime geometry and the appearance of a critical radius that limits the radial domain of the field. Analytical solutions are obtained under appropriate approximations, and the corresponding energy spectra are derived. The results indicate that both the magnetic field and non-inertial effects modify the energy levels, with additional contributions depending on the coupling between the rotation parameter and the quantum numbers. A numerical analysis is also presented, illustrating the behavior of the solutions for two characteristic magnetic field scales: one that may be considered extreme, of the order of the ones proposed to be produced in heavy-ion collisions, and another near the Planck scale.https://www.mdpi.com/2218-1997/11/6/193Melvin universenon-inertial effectsscalar bosonstrong magnetic fields
spellingShingle Leonardo G. Barbosa
Luis C. N. Santos
João V. Zamperlini
Franciele M. da Silva
Celso C. Barros
Charged Scalar Boson in Melvin Universe
Universe
Melvin universe
non-inertial effects
scalar boson
strong magnetic fields
title Charged Scalar Boson in Melvin Universe
title_full Charged Scalar Boson in Melvin Universe
title_fullStr Charged Scalar Boson in Melvin Universe
title_full_unstemmed Charged Scalar Boson in Melvin Universe
title_short Charged Scalar Boson in Melvin Universe
title_sort charged scalar boson in melvin universe
topic Melvin universe
non-inertial effects
scalar boson
strong magnetic fields
url https://www.mdpi.com/2218-1997/11/6/193
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AT luiscnsantos chargedscalarbosoninmelvinuniverse
AT joaovzamperlini chargedscalarbosoninmelvinuniverse
AT francielemdasilva chargedscalarbosoninmelvinuniverse
AT celsocbarros chargedscalarbosoninmelvinuniverse