The study of a half-spin relativistic particle in the rotating cosmic string space–time

Wang, Bingqian; Long, Zheng-Wen; Long, Chao-Yun; Wu, Shurui

doi:10.1142/s0217751x18501580

Cited by 23 publications

(13 citation statements)

References 31 publications

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“…We have shown that the energy levels of the particle and antiparticle depend on the values of the physical parameters involved. In the case of energy (71), its validity is conditioned to Equation (72). Depending on the choice we make for the parameters, we can obtain forbidden energies.…”

Section: Discussionmentioning

confidence: 99%

“…Next, we will choose an appropriate tetrad basis and implement the field configuration involved through the performing of a minimal substitution. The spacetime induced by a rotating cosmic string is described by the metric [72,77,78].…”

Section: Dirac Equation In the Spinning Cosmic String Spacetimementioning

confidence: 99%

“…The presence of noninertial effects also was considered in this context [71]. Reference [72] treats the problem of a charged half-spin particle depicted by the Dirac equation in the presence of a uniform magnetic field in the rotating cosmic string spacetime. A meaningful aspect in this context consists of analyzing how different configurations of magnetic fields affect the quantum particle motion.…”

Section: Introductionmentioning

confidence: 99%

“…Although the existence of a previous study deals with the Dirac equation in the presence of noninertial effects and uniform magnetic field, in Section 3 of Ref. [72], here, we introduce some new ingredients, as well as a different framework: more explicitly, we have the following contributions: (i) the tetrad basis we adopt leads to a zero affine connection in the flat space, which does not occur in the previous study; (ii) the presence of the Aharonov-Bohm flux tube. We show explicitly that the presence of this effect modifies the energy levels of the particle;…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

Cunha

Silva

2021

Advances in High Energy Physics

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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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Section: Discussionmentioning

confidence: 99%

Section: Dirac Equation In the Spinning Cosmic String Spacetimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

Cunha

Silva

2021

Advances in High Energy Physics

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“…The differential equations (60) and (61) can be placed in an convenient mode using, respectively, the following solutions:…”

Section: The Analysis Of Both the Spin And The Pseudo-spin Symmetriesmentioning

confidence: 99%

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

et al. 2019

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The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equation and solve it in the limit of the spin and the pseudo-spin symmetries. We analyze the presence of cylindrical symmetric scalar potentials which allows us to provide analytic solutions for the resultant field equation. By using an appropriate ansatz, we find that the radial equation is a biconfluent Heun-like differential equation. The solution of this equation provides us with more than one expression for the energy eigenvalues of the oscillator. We investigate these energies and find that there is a quantum condition between them. We study this condition in detail and find that it requires the fixation of one of the physical parameters involved in the problem. Expressions for the energy of the oscillator are obtained for some values of the quantum number n. Some particular cases which lead to known physical systems are also addressed.

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Semiclassical Analysis of the Interaction of the Magnetic Quadrupole Moment of a Neutral Particle with Axial Electric Fields in a Uniformly Rotating Frame

Vieira

Bakke

2020

Found Phys

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The study of a half-spin relativistic particle in the rotating cosmic string space–time

Cited by 23 publications

References 31 publications

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

Semiclassical Analysis of the Interaction of the Magnetic Quadrupole Moment of a Neutral Particle with Axial Electric Fields in a Uniformly Rotating Frame

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