Noncommutative Dirac and Schrödinger equations in the background of the new combined Manning-Rosen and Yukawa tensor potentials using Bopp's shift method and perturbation theory.
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| Title: | Noncommutative Dirac and Schrödinger equations in the background of the new combined Manning-Rosen and Yukawa tensor potentials using Bopp's shift method and perturbation theory. |
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| Authors: | Maireche, Abdelmadjid1 abdelmadjid.maireche@univ-msila.dz |
| Source: | Latin-American Journal of Physics Education. Dec2025, Vol. 19 Issue 4, p1-19. 19p. |
| Subject Terms: | Dirac equation, Yukawa interactions, Schrödinger equation, Symmetries (Quantum mechanics), Perturbation theory, Nonrelativistic quantum mechanics |
| Abstract (English): | Among the significant potential that showed its great importance in the literature is what is known as the Manning-Rosen potential with a Yukawa tensor coupling because it has wide applications to a wide variety of physical systems. In this work, new Bound-state solutions of the deformed Dirac equation with improved spin and pseudo-spin symmetries are investigated for the new combined Manning--Rosen and Yukawa tensor potentials (NCMRYPs) in the context of threedimensional relativistic noncommutative quantum space (3D-RNCQS) symmetries. The new energy eigenvalues a are obtained using the parametric Bopp's shift method and the like Greene-Aldrich approximation for the centrifugal terms 𝑧2 (1-𝑧)3, 𝑧5/2 (1-𝑧)4, 𝑧3/2 (1-𝑧)2, 𝑧5/2 (1-𝑧)3, 𝑧3 (1-𝑧)4, 𝑧7/2 (1-𝑧)4 and 𝑧2 (1-𝑧)4 to obtain the effective potentials of the NCMRYPs model in 3D-RNCQS symmetries. The new energy levels are sensitive depending on noncommutativity parameters (𝜂, 𝜆, 𝛾), the potential depths (𝛽, 𝐴, 𝑉0) of the NCMRYPs model, the quantum numbers (𝑗, 𝑙/𝑙𝑝, 𝑠/𝑠𝑝, 𝑚/𝑚𝑝) in addition to arbitrary spin-orbit coupling quantum number 𝑘, radial quantum numbers 𝑛, and screening parameter 𝛿 which are known in the literature. The nonrelativistic limit is obtained and the composite systems such as molecules made of 𝑁 = 2particles of masses 𝑚𝑛(𝑛 = 1,2) in the frame of three-dimensional nonrelativistic noncommutative quantum space (3D-NRNCQS) symmetries are considered. After studying the relativistic and nonrelativistic solutions of the NCMRYPs model in 3D-RNCQS and 3DNRNCQS symmetries, we examine some important cases that we see as useful to the reader and the researcher. [ABSTRACT FROM AUTHOR] |
| Abstract (Portuguese): | Entre los potenciales significativos que han demostrado su gran importancia en la literatura se encuentra el denominado potencial de Manning-Rosen con acoplamiento tensorial de Yukawa, debido a sus amplias aplicaciones en una amplia variedad de sistemas físicos. En este trabajo, se investigan nuevas soluciones de estado ligado de la ecuación de Dirac deformada con simetrías de espín y pseudoespín mejoradas para los nuevos potenciales tensoriales combinados de Manning-Rosen y Yukawa (NCMRYPs) en el contexto de simetrías tridimensionales relativistas no conmutativas del espacio cuántico (3D-RNCQS). Los nuevos valores propios de energía a se obtienen utilizando el método paramétrico de desplazamiento de Bopp y la aproximación de Greene-Aldrich similar para los términos centrífugos 𝑧2 (1-𝑧)3, 𝑧5/2 (1-𝑧)4, 𝑧3/2 (1-𝑧)2, 𝑧5/2 (1-𝑧)3, 𝑧3 (1-𝑧)4, 𝑧7/2 (1-𝑧)4 y 𝑧2 (1-𝑧)4 para obtener los potenciales efectivos del modelo NCMRYPs en simetrías 3D-RNCQS. Los nuevos niveles de energía son sensibles a los parámetros de no conmutatividad (η, λ, γ), las profundidades potenciales (β, A, V0) del modelo NCMRYPs, los números cuánticos (j, l/lp, s/sp, m/mp), además del número cuántico de acoplamiento espín-órbita arbitrario k, los números cuánticos radiales n y el parámetro de cribado δ, conocidos en la literatura. Se obtiene el límite no relativista y se consideran los sistemas compuestos, como moléculas formadas por N = 2 partículas de masas mn (n = 1, 2), en el marco de simetrías tridimensionales del espacio cuántico no relativista no conmutativo (3D-NRNCQS). Tras estudiar las soluciones relativistas y no relativistas del modelo NCMRYPs en las simetrías 3D-RNCQS y 3DNRNCQS, examinamos algunos casos importantes que consideramos útiles para el lector y el investigador. [ABSTRACT FROM AUTHOR] |
| Copyright of Latin-American Journal of Physics Education is the property of Latin-American Physics Education Network and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 191649231 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Noncommutative Dirac and Schrödinger equations in the background of the new combined Manning-Rosen and Yukawa tensor potentials using Bopp's shift method and perturbation theory. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Maireche%2C+Abdelmadjid%22">Maireche, Abdelmadjid</searchLink><relatesTo>1</relatesTo><i> abdelmadjid.maireche@univ-msila.dz</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Latin-American+Journal+of+Physics+Education%22">Latin-American Journal of Physics Education</searchLink>. Dec2025, Vol. 19 Issue 4, p1-19. 19p. – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Dirac+equation%22">Dirac equation</searchLink><br /><searchLink fieldCode="DE" term="%22Yukawa+interactions%22">Yukawa interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Schrödinger+equation%22">Schrödinger equation</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetries+%28Quantum+mechanics%29%22">Symmetries (Quantum mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Nonrelativistic+quantum+mechanics%22">Nonrelativistic quantum mechanics</searchLink> – Name: Abstract Label: Abstract (English) Group: Ab Data: Among the significant potential that showed its great importance in the literature is what is known as the Manning-Rosen potential with a Yukawa tensor coupling because it has wide applications to a wide variety of physical systems. In this work, new Bound-state solutions of the deformed Dirac equation with improved spin and pseudo-spin symmetries are investigated for the new combined Manning--Rosen and Yukawa tensor potentials (NCMRYPs) in the context of threedimensional relativistic noncommutative quantum space (3D-RNCQS) symmetries. The new energy eigenvalues a are obtained using the parametric Bopp's shift method and the like Greene-Aldrich approximation for the centrifugal terms 𝑧2 (1-𝑧)3, 𝑧5/2 (1-𝑧)4, 𝑧3/2 (1-𝑧)2, 𝑧5/2 (1-𝑧)3, 𝑧3 (1-𝑧)4, 𝑧7/2 (1-𝑧)4 and 𝑧2 (1-𝑧)4 to obtain the effective potentials of the NCMRYPs model in 3D-RNCQS symmetries. The new energy levels are sensitive depending on noncommutativity parameters (𝜂, 𝜆, 𝛾), the potential depths (𝛽, 𝐴, 𝑉0) of the NCMRYPs model, the quantum numbers (𝑗, 𝑙/𝑙𝑝, 𝑠/𝑠𝑝, 𝑚/𝑚𝑝) in addition to arbitrary spin-orbit coupling quantum number 𝑘, radial quantum numbers 𝑛, and screening parameter 𝛿 which are known in the literature. The nonrelativistic limit is obtained and the composite systems such as molecules made of 𝑁 = 2particles of masses 𝑚𝑛(𝑛 = 1,2) in the frame of three-dimensional nonrelativistic noncommutative quantum space (3D-NRNCQS) symmetries are considered. After studying the relativistic and nonrelativistic solutions of the NCMRYPs model in 3D-RNCQS and 3DNRNCQS symmetries, we examine some important cases that we see as useful to the reader and the researcher. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Abstract (Portuguese) Group: Ab Data: Entre los potenciales significativos que han demostrado su gran importancia en la literatura se encuentra el denominado potencial de Manning-Rosen con acoplamiento tensorial de Yukawa, debido a sus amplias aplicaciones en una amplia variedad de sistemas físicos. En este trabajo, se investigan nuevas soluciones de estado ligado de la ecuación de Dirac deformada con simetrías de espín y pseudoespín mejoradas para los nuevos potenciales tensoriales combinados de Manning-Rosen y Yukawa (NCMRYPs) en el contexto de simetrías tridimensionales relativistas no conmutativas del espacio cuántico (3D-RNCQS). Los nuevos valores propios de energía a se obtienen utilizando el método paramétrico de desplazamiento de Bopp y la aproximación de Greene-Aldrich similar para los términos centrífugos 𝑧2 (1-𝑧)3, 𝑧5/2 (1-𝑧)4, 𝑧3/2 (1-𝑧)2, 𝑧5/2 (1-𝑧)3, 𝑧3 (1-𝑧)4, 𝑧7/2 (1-𝑧)4 y 𝑧2 (1-𝑧)4 para obtener los potenciales efectivos del modelo NCMRYPs en simetrías 3D-RNCQS. Los nuevos niveles de energía son sensibles a los parámetros de no conmutatividad (η, λ, γ), las profundidades potenciales (β, A, V0) del modelo NCMRYPs, los números cuánticos (j, l/lp, s/sp, m/mp), además del número cuántico de acoplamiento espín-órbita arbitrario k, los números cuánticos radiales n y el parámetro de cribado δ, conocidos en la literatura. Se obtiene el límite no relativista y se consideran los sistemas compuestos, como moléculas formadas por N = 2 partículas de masas mn (n = 1, 2), en el marco de simetrías tridimensionales del espacio cuántico no relativista no conmutativo (3D-NRNCQS). Tras estudiar las soluciones relativistas y no relativistas del modelo NCMRYPs en las simetrías 3D-RNCQS y 3DNRNCQS, examinamos algunos casos importantes que consideramos útiles para el lector y el investigador. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Latin-American Journal of Physics Education is the property of Latin-American Physics Education Network and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 19 StartPage: 1 Subjects: – SubjectFull: Dirac equation Type: general – SubjectFull: Yukawa interactions Type: general – SubjectFull: Schrödinger equation Type: general – SubjectFull: Symmetries (Quantum mechanics) Type: general – SubjectFull: Perturbation theory Type: general – SubjectFull: Nonrelativistic quantum mechanics Type: general Titles: – TitleFull: Noncommutative Dirac and Schrödinger equations in the background of the new combined Manning-Rosen and Yukawa tensor potentials using Bopp's shift method and perturbation theory. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Maireche, Abdelmadjid IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 18709095 Numbering: – Type: volume Value: 19 – Type: issue Value: 4 Titles: – TitleFull: Latin-American Journal of Physics Education Type: main |
| ResultId | 1 |
