Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects

Boumali, Abdelmalek; Aounallah, Houcine

doi:10.1155/2018/1031763

Cited by 77 publications

(60 citation statements)

References 34 publications

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“…where b 2 = 1 − 8πGη 2 and the parameter η being the energy scale of symmetry breaking, the spin connection coefficients are [49]…”

Section: The Formalismmentioning

confidence: 99%

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Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

Boumali¹,

Aounallah²

2020

Rev. Mex. Fís.

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In this paper, we obtain the exact solutions of Duffin-Kemmer-Petiau equation spin-1 in thepresence of the Aharonov-Bohm and Coulomb potential in the gravitational field of cosmic stringand a global monopole, we are study the DKP equation in commutative space-time, We separatedthe variables with the help of Wigner functions and the parity operator, We solved the system ofthe second order differential equation in the case of P = (−1) j+1 , but in the case of P = (−1) j wesolved the system in j = 0. The spectrum of energy in the gravitational field of cosmic string and aglobal monopole are different, and the commutation relation of the angular momentum are obviouslydifferent from Pauli criterion in the Aharonov-Bohm effect, in spin-0 and spin-1 we have the non-commutativity energy by the perturbation theory, the energy is transition from commutative tonon-commutative spac

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“…where b 2 = 1 − 8πGη 2 and the parameter η being the energy scale of symmetry breaking, the spin connection coefficients are [49]…”

Section: The Formalismmentioning

confidence: 99%

“…In what follows, we calculate the KAM for both cosmic strings and global monopoles in non-commutative space: the case of commutative space-time is well treated in [49].…”

Section: The Pauli Criterionmentioning

confidence: 99%

Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

Boumali¹,

Aounallah²

2020

Rev. Mex. Fís.

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“…[36], for example, it was considered the interaction of a point charge with a magnetic field in a spacetime with a distortion. References [37][38][39][40][41][42][43][44] are examples of studies dealing with Landau levels and the Aharonov-Bohm effect in the presence of topological defects. Reference [45] deals with a quantum ring in graphene with a topological defect and a magnetic field.…”

Section: Introductionmentioning

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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“…Therefore, in recent decades, the DKP field have been widely studied by many researchers in Refs. [22][23][24][25][26][27][28][29][30][31][32][33]. In this contribution, we analyse the influence of the topological defects space-time with a spiral dislocation on a spin-zero boson field in the absence and in the presence of a static potential by using the DKP equation.…”

Section: Introductionmentioning

confidence: 99%

Duffin-Kemmer-Petiau particles in the presence of the spiral dislocation

Hassanabadi,

Zare,

Lütfüoğlu

et al. 2021

Preprint

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In this study, we investigated the influence of the topological defects space-time with a spiral dislocation on a spin-zero boson field by using the Duffin-Kemmer-Petiau (DKP) equation. To be more specific, we solved the generalized spin-zero DKP equation in the presence of a spiral dislocation exactly. We derived the wave function and corresponding energy eigenvalues for two cases, in the absence and presence of a static potential by using analytical methods. We numerically demonstrated the effect of the spiral dislocation on the solutions.

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Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects

Cited by 77 publications

References 34 publications

Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

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

Duffin-Kemmer-Petiau particles in the presence of the spiral dislocation

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