Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic 
string: spectrum and dynamics

Ezinvi, Baloitcha; Hounkonnou, Mahouton Norbert; N'Dolo, Emanonfi Elias; Ousmane Samary, Dine

doi:10.1142/S0219887820500784

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Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic string: spectrum and dynamics

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Ousmane Samary, Dine
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Ezinvi, B., Hounkonnou, M. N., N'Dolo, E. E., & Ousmane Samary, D. (2020). Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic string: spectrum and dynamics. International Journal of Geometric Methods in Modern Physics, 17(5): 2050078. doi:10.1142/S0219887820500784.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-0A4C-F

Abstract

From a study of an oscillator in a $4D$ 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
analysed giving rise to novel interesting properties.