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arXiv · 1703.02304

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

Baloitcha Ezinvi·Mahouton Norbert Hounkonnou·Emanonfi Elias N'Dolo·Dine Ousmane Samary
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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.

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Baloitcha Ezinvi, Mahouton Norbert Hounkonnou, Emanonfi Elias N'Dolo, Dine Ousmane Samary. 2017-03-07. Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic string: spectrum and dynamics. https://doi.org/10.1142/s0219887820500784

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