Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of the energy spectrum and the connection with condensed matter physics

Cunha, Márcio M.; Dias, Henrique S.; Silva, Edilberto O.

doi:10.1103/physrevd.102.105020

Cited by 26 publications

(10 citation statements)

References 67 publications

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“…Experimentally, the first microwave realization of the one-dimensional DO has been performed [14] and it has been shown that the results agree well with the theoretical predictions for DO system [14]. Accordingly, the DO system has begun to widely studied by several research groups in many areas of the modern physics since this system has an important potential for several physical applications [7,10,15,16,17,18].…”

Section: Introductionmentioning

confidence: 66%

Two-Dimensional Vector Boson Oscillator

Doğan¹

2021

Sakarya University Journal of Science

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We introduce two-dimensional vector boson oscillator by using the generalized vector boson equation that derived as an excited of Zitterbewegung. We write the relativistic vector boson equation for a relativistic spin-1 particle and introduce the oscillator coupling via non-minimal substitutions. The corresponding equation gives a set of equations. By solving this equation set we obtain the components of the corresponding symmetric spinor and accordingly obtain the energy eigen-values for two-dimensional vector boson oscillator. This energy spectrum shows that the oscillator frequency couples with the spin of vector field in question and accordingly we discuss the results.

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Section: Introductionmentioning

confidence: 66%

Two-Dimensional Vector Boson Oscillator

Doğan¹

2021

Sakarya University Journal of Science

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“…Summarizing our results, we can state that the rotation breaks the symmetry in the energies ( 71) and ( 78) about E ð<Þ n,m = 0 and E ð<Þ n,m+1 = 0, respectively, while the energies (70) and (77) are symmetrical. When a ⟶ 0 or B ⟶ 0 in (71) and (78), this symmetry tends to be recovered. In the case of a strong magnetic field, the separation between the particle and antiparticle energies increases in comparison with the case of a weak field.…”

Section: Discussionmentioning

confidence: 96%

“…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%

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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“…The spacetime of cosmic string exerts an impressive influence on the behavior of a physical system, in which effects such as gravitational leasing, self-force, and the gravitational Aharonov-Bohm effect take place. In the literature, different models have been solved in the cosmic string spacetime [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] and disclinations [34][35][36][37][38][39][40][41], which demonstrates the wide range of possibilities of investigation involving these issues.…”

Section: Introductionmentioning

confidence: 99%

Approximate Analytical Solutions of the Schrödinger Equation with Hulthén Potential in the Global Monopole Spacetime

et al. 2023

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In this paper, we studied the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also considered that the electron is influenced by the Hulthén potential. In particular, we dealt with the Schrödinger equation in the presence of a global monopole. We obtained approximate solutions for the problem, determined the scattering phase shift and the S-matrix, and analyzed bound states.

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Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of the energy spectrum and the connection with condensed matter physics

Cited by 26 publications

References 67 publications

Two-Dimensional Vector Boson Oscillator

Two-Dimensional Vector Boson Oscillator

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

Approximate Analytical Solutions of the Schrödinger Equation with Hulthén Potential in the Global Monopole Spacetime

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