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Noncommutative Dirac and Klein–Gordon oscillators in the background of cosmic string: Spectrum and dynamics

Faculté des Sciences et Techniques, International Chair in Mathematical Physics, and Applications (ICMPA-UNESCO Chair) University, of Abomey-Calavi 072B.P.50 Cotonou, Republic of Benin

E-mail Address: emanonfieliasndolo@yahoo.fr

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Dine Ousmane Samary

Faculté des Sciences et Techniques, International Chair in Mathematical Physics, and Applications (ICMPA-UNESCO Chair) University, of Abomey-Calavi 072B.P.50 Cotonou, Republic of Benin

Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam, Germany

E-mail Address: dine.ousmane.samary@aei.mpg.de

Corresponding author.

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Baloitcha Ezinvi

Faculté des Sciences et Techniques, International Chair in Mathematical Physics, and Applications (ICMPA-UNESCO Chair) University, of Abomey-Calavi 072B.P.50 Cotonou, Republic of Benin

E-mail Address: ezinvi.baloitcha@cipma.uac.bj

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, and

Mahouton Norbert Hounkonnou

Faculté des Sciences et Techniques, International Chair in Mathematical Physics, and Applications (ICMPA-UNESCO Chair) University, of Abomey-Calavi 072B.P.50 Cotonou, Republic of Benin

E-mail Address: norbert.hounkonnou@cipma.uac.bj

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https://doi.org/10.1142/S0219887820500784Cited by:21 (Source: Crossref)

Abstract

From a study of an oscillator in a 4D noncommutative (NC) spacetime, we establish the Hamilton equations of motion. The formers are solved to give the oscillator position and momentum coordinates. These coordinates are used to build a metric similar to that describing a cosmic string. On this basis, Dirac and Klein–Gordon oscillators are investigated. Their spectrum and dynamics are analyzed giving rise to novel interesting properties.

Keywords:

PACS: 03.65.Aa, 04.62.+v, 03.65.Ge

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