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Volume 6
Issue 11
10.3390/universe6110203
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Article

Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime

by
Márcio M. Cunha
and
Edilberto O. Silva
*
Departamento de Física, Universidade Federal do Maranhão, 65085-580 São Luís, Maranhão, Brazil
*
Author to whom correspondence should be addressed.
Universe 2020, 6(11), 203; https://doi.org/10.3390/universe6110203
Submission received: 12 September 2020 / Revised: 28 October 2020 / Accepted: 2 November 2020 / Published: 4 November 2020
(This article belongs to the Special Issue Singularities in Spacetime)
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Abstract

In this work, we study the relativistic quantum motion of an electron in the presence of external magnetic fields in the spinning cosmic string spacetime. The approach takes into account the terms that explicitly depend on the particle spin in the Dirac equation. The inclusion of the spin element in the solution of the problem reveals that the energy spectrum is modified. We determine the energies and wave functions using the self-adjoint extension method. The technique used is based on boundary conditions allowed by the system. We investigate the profiles of the energies found. We also investigate some particular cases for the energies and compare them with the results in the literature.
Keywords: cosmic string; relativistic landau quantization; self-adjoint extension; noninertial effects cosmic string; relativistic landau quantization; self-adjoint extension; noninertial effects

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MDPI and ACS Style

M. Cunha, M.; O. Silva, E. Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime. Universe 2020, 6, 203. https://doi.org/10.3390/universe6110203

AMA Style

M. Cunha M, O. Silva E. Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime. Universe. 2020; 6(11):203. https://doi.org/10.3390/universe6110203

Chicago/Turabian Style

M. Cunha, Márcio, and Edilberto O. Silva. 2020. "Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime" Universe 6, no. 11: 203. https://doi.org/10.3390/universe6110203

APA Style

M. Cunha, M., & O. Silva, E. (2020). Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime. Universe, 6(11), 203. https://doi.org/10.3390/universe6110203

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