Klein-Gordon particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation: vorticity-energy and charge-energy correlations

• URL: http://arxiv.org/abs/2211.00932v1
• Date: Wed, 2 Nov 2022 07:39:19 GMT
• Title: Klein-Gordon particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation: vorticity-energy and charge-energy correlations
• Authors: Omar Mustafa
• Abstract summary: We consider position-dependent mass KG-particles in Som-Raychaudhuri cosmic string spacetime with space-like screw dislocation. New concepts like vorticity-energy and charge-energy correlations emerge as consequences of the gravitational field effects on the KG-particles spectra.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We argue that only through some reliable and admissible quantum mechanical treatments, one may understand and explore the effects of gravitational fields (generated by the corresponding spacetime structures) on the energy levels of relativistic and non-relativistic quantum particles. In the current proposal, we intend to clean up and correct the quantum mechanical mess (like additional quantization recipes or effective potential parametric correlations provided by the biconfluent Heun series/polynomials) injected into the literature and introduce proper treatments so that the effects of the gravitational fields on the quantum mechanical particles are made clear. Here, moreover, we consider position-dependent mass KG-particles in Som-Raychaudhuri cosmic string spacetime with space-like screw dislocation. New concepts like vorticity-energy and charge-energy correlations emerge in the process as consequences of the gravitational field effects on the KG-particles spectra. We support our findings with a brute-force-evidence that would clean up the injected-into-the-literature quantum mechanical mess for good.

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