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Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential
Author(s) -
Márcio M. Cunha,
Edilberto O. Silva
Publication year - 2021
Publication title -
advances in high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.59
H-Index - 49
eISSN - 1687-7365
pISSN - 1687-7357
DOI - 10.1155/2021/6709140
Subject(s) - physics , dirac equation , cosmic string , spacetime , relativistic quantum mechanics , relativistic wave equations , classical mechanics , string (physics) , bound state , quantum mechanics , magnetic field , electron , wave function , dirac (video compression format) , two body dirac equations , mathematical physics , quantum , quantum dynamics , neutrino
In this manuscript, we study the relativistic quantum mechanics of an electron in external fields in the spinning cosmic string spacetime. We obtain the Dirac equation and write the first- and second-order equations from it, and then, we solve these equations for bound states. We show that there are bound state solutions for the first-order equation Dirac. For the second-order equation, we obtain the corresponding wave functions, which depend on the Kummer functions. Then, we determine the energies of the particle. We examine the behavior of the energies as a function of the physical parameters of the model, such as rotation, curvature, magnetic field, Aharonov-Bohm flux, and quantum numbers. We find that, depending on the values of these parameters, there are energy nonpermissible levels.

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