Noncommutative Dirac and Klein–Gordon oscillators in the background of cosmic string: Spectrum and dynamics
Emanonfi Elias N’Dolo, Dine Ousmane Samary, Baloitcha Ezinvi, Mahouton Norbert Hounkonnou
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.
Topics & Concepts
Noncommutative geometryPhysicsSpectrum (functional analysis)Dirac (video compression format)Position (finance)Metric (unit)Momentum (technical analysis)Dynamics (music)Mathematical physicsCosmic stringClassical mechanicsPosition operatorDirac equationQuantum mechanicsCOSMIC cancer databaseNoncommutative quantum field theoryContinuous spectrumDirac combQuantum electrodynamicsNoncommutative and Quantum Gravity TheoriesQuantum Mechanics and Non-Hermitian PhysicsAdvanced Differential Geometry Research