Exact solution of the Duffin-Kemmer-Petiau (DKP) equation in the magnetic field by considering cosmic string background in (1 + 2)-dimensions

A spinless particle coupled covariantly to a uniform magnetic field parallel to the string in the background of the rotating cosmic string is studied. The energy levels of the electrically charged particle subject to the Klein–Gordon oscillator are analyzed. Afterwards, we consider the case of the position-dependent mass and show how these energy levels depend on the parameters in the problem. Remarkably, it shows that for the special case, the Klein–Gordon oscillator coupled covariantly to a homogeneous magnetic field with the position-dependent mass in the rotating cosmic string background has the similar behaviors to the Klein–Gordon equation with a Coulomb-type configuration in a rotating cosmic string background in the presence of an external magnetic field.

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Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

Smart Structures and Systems ◽

10.12989/sss.2012.9.5.427 ◽

2012 ◽

Vol 9 (5) ◽

pp. 427-439 ◽

Cited By ~ 28

Author(s):

M. Arefi ◽

G.H. Rahimi ◽

M.J. Khoshgoftar

Keyword(s):

Magnetic Field ◽

Exact Solution ◽

Functionally Graded ◽

Piezoelectric Cylinder ◽

Electrical Loads ◽

Functionally Graded Piezoelectric ◽

The Magnetic Field

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Scattering of Fermions by a Magnetic Dipole Field

Annals of West University of Timisoara - Physics ◽

10.2478/awutp-2021-0010 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Sergiu Hategan ◽

Cosmin Crucean

Keyword(s):

Magnetic Field ◽

Exact Solution ◽

Differential Cross Section ◽

Magnetic Dipole ◽

Cross Section ◽

Differential Cross ◽

Coulomb Scattering ◽

Minkowski Space Time ◽

Magnetic Dipole Field ◽

The Magnetic Field

Abstract In this paper we study the problem of fermions scattering by the field of a magnetic dipole in Minkowski space-time. The amplitude and differential cross section for scattering of massive fermions are obtained using the exact solution of the Dirac equation written in the helicity basis. We found that the most probable transitions are those that scatter the fermions perpendicular to the direction of the magnetic field and we consider only the transverse momenta in our analysis. The differential cross section behavior in terms of scattering angle and energy is graphically analysed and we perform a comparative study with the Coulomb scattering.

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The magnetic field of a current carrying cosmic string

American Journal of Physics ◽

10.1119/1.18682 ◽

1997 ◽

Vol 65 (9) ◽

pp. 914-917 ◽

Cited By ~ 2

Author(s):

A. G. R. Muriano ◽

M. F. A. da Silva

Keyword(s):

Magnetic Field ◽

Cosmic String ◽

The Magnetic Field ◽

A Current

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The DKP Oscillator in Spinning Cosmic String Background

Advances in High Energy Physics ◽

10.1155/2018/2959354 ◽

2018 ◽

Vol 2018 ◽

pp. 1-8 ◽

Cited By ~ 10

Author(s):

Mansoureh Hosseinpour ◽

Hassan Hassanabadi

Keyword(s):

Cosmic String ◽

Energy Levels ◽

Flat Space ◽

Space Time ◽

Covariant Form ◽

Dkp Equation ◽

Relativistic Spin ◽

String Background

In this article, we investigate the behaviour of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string. We obtain the generalized beta-matrices in terms of the flat space-time ones and rewrite the covariant form of Duffin-Kemmer-Petiau (DKP) equation in spinning cosmic string space-time. We find the solution of DKP oscillator and determine the energy levels. We also discuss the influence of the topology of the cosmic string on the energy levels and the DKP spinors.

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THE MODIFICATION OF THE ENERGY SPECTRUM OF CHARGED PARTICLES BY EXOTIC OPEN 4-SMOOTHNESS VIA SUPERSTRING THEORY

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s021988781250079x ◽

2012 ◽

Vol 10 (01) ◽

pp. 1250079

Author(s):

TORSTEN ASSELMEYER-MALUGA ◽

PAWEŁ GUSIN ◽

JERZY KRÓL

Keyword(s):

Magnetic Field ◽

Energy Spectrum ◽

Charged Particles ◽

Minkowski Spacetime ◽

Underlying Structure ◽

Superstring Theory ◽

Mass Gap ◽

Marginal Deformations ◽

String Background ◽

The Magnetic Field

In this paper we present a model where the modified Landau-like levels of charged particles in a magnetic field are determined due to the modified smoothness of ℝ4 as underlying structure of the Minkowski spacetime. The standard smoothness of ℝ4 is shifted to the exotic [Formula: see text], k = 2p, p = 1, 2, …. This is achieved by superstring theory using gravitational backreaction induced from a strong, almost constant magnetic field on standard ℝ4. The exact string background containing flat ℝ4 is replaced consistently by the curved geometry of SU (2)k × ℝ as part of the modified exact backgrounds. This corresponds to the change of smoothness on ℝ4 from the standard ℝ4 to some exotic [Formula: see text]. The calculations of the spectra are using the CFT marginal deformations and Wess–Zumino–Witten (WZW) models. The marginal deformations capture the effects of the magnetic field as well as its gravitational backreactions. The spectra depend on even level k of WZW on SU(2). At the same time the WZ term as element of H3( SU (2), ℝ) determines also the exotic smooth [Formula: see text]. As the consequence we obtain that a nonzero mass-gap induced by the exotic [Formula: see text] emerges in the spectrum.

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Influence of the magnetic field on merging flow of the Powell-Eyring fluids: an exact solution

Meccanica ◽

10.1007/s11012-018-0819-1 ◽

2018 ◽

Vol 53 (9) ◽

pp. 2287-2298 ◽

Cited By ~ 1

Author(s):

Abuzar Abid Siddiqui ◽

Salman Ahmad ◽

Muhammad Aqeel

Keyword(s):

Magnetic Field ◽

Exact Solution ◽

The Magnetic Field

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An exact solution for the transient electromagnetic field around a finite-length transmitter

Geophysics ◽

10.1190/geo2016-0305.1 ◽

2017 ◽

Vol 82 (2) ◽

pp. E51-E56

Author(s):

Eirik G. Flekkøy ◽

Marcus Vicinius Carneiro

Keyword(s):

Magnetic Field ◽

Exact Solution ◽

Electromagnetic Field ◽

Diffusion Equation ◽

Finite Length ◽

Direct Integration ◽

Closed Form Solutions ◽

Transient Electromagnetic ◽

Whole Space ◽

The Magnetic Field

We obtain the exact, closed-form solutions for the electromagnetic field around a finite-length transmitter in a conducting homogeneous whole space. The field is obtained for the two cases following after the transmitter is turned on or off. The electric field solution is obtained by direct integration of the source currents along with the Green’s function of the diffusion equation, and the magnetic field is obtained by the direct integration of Ampere’s law.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x18501580 ◽

2018 ◽

Vol 33 (27) ◽

pp. 1850158 ◽

Cited By ~ 11

Author(s):

Bing-Qian Wang ◽

Zheng-Wen Long ◽

Chao-Yun Long ◽

Shu-Rui Wu

Keyword(s):

Magnetic Field ◽

Cosmic String ◽

Energy Levels ◽

Space Time ◽

Analysis Method ◽

Rotational Parameter ◽

Spin Particle ◽

Energy Eigenvalues ◽

The Magnetic Field ◽

Symmetrical Center

In this paper, a charged half-spin particle depicted by the Dirac equation in the presence of a uniform magnetic field and a mixed potential are analyzed in the rotating cosmic string space–time. In order to facilitate this study, we assume that the symmetrical center of the potential is on the string and the magnetic field is parallel to the string. Based on the functional analysis method, we obtain the energy eigenvalues for different physical situations. It shows that the energy levels of the system depend explicitly on the angular deficit [Formula: see text] and the rotational parameter [Formula: see text] which characterize the global structure of the metric in the space–time of the rotating cosmic string.

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