On the Majorana fermion subject to a linear confinement

Ribeiro, Ricardo Faria; Bakke, K.

doi:10.1016/j.aop.2017.08.003

Cited by 11 publications

(11 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, we investigate the above relativistic quantum system described by the Klein-Gordon oscillator subject to a Cornell-type scalar potential in the presence of external fields including an internal magnetic flux field. A scalar potential is included into the systems by modifying the mass m ⟶ m + SðrÞ which is called a position-dependent mass system in the relativistic quantum systems (see, e.g., [5,6,8,28,30,31,42,46,[52][53][54][55][56][57][58][59][60][61][62]).…”

Section: 2mentioning

confidence: 99%

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Ahmed

2020

Advances in High Energy Physics

View full text Add to dashboard Cite

In this paper, we study interactions of a scalar particle with electromagnetic potential in the background space-time generated by a cosmic string with a space-like dislocation. We solve the Klein-Gordon oscillator in the presence of external fields including an internal magnetic flux field and analyze the analogue effect to the Aharonov-Bohm effect for bound states. We extend this analysis subject to a Cornell-type scalar potential and observe the effects on the relativistic energy eigenvalue and eigenfunction.

show abstract

Section: 2mentioning

confidence: 99%

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Ahmed

2020

Advances in High Energy Physics

View full text Add to dashboard Cite

show abstract

“…Obviously, the matrices γ0 ′ = σy and γ1 ′ = +iσ z , for example, can also be considered to be a Majorana representation (incidentally, the latter choice was used in Refs. [10,11]). These two Majorana representations are related by…”

Section: The Majorana Particlementioning

confidence: 99%

“…Complex solutions for Eq. ( 12) can also be obtained [10], but these do not describe a Majorana particle.…”

Section: The Majorana Particlementioning

confidence: 99%

“…In the present paper, we want to emphasize this point and highlight the importance of the Majorana condition as a necessary condition to characterize a Majorana particle. We also consider that this task is absolutely pertinent; in fact, we have seen a recently published article that incorrectly assumes that a Majorana particle (in this case, subject to the linear Lorentz scalar potential) can be described just with the Dirac equation in the Majorana representation, without imposing the Majorana condition [10].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On real solutions of the Dirac equation for a one-dimensional Majorana particle

Vincenzo

2019

Results in Physics

View full text Add to dashboard Cite

We construct general solutions of the time-dependent Dirac equation in (1+1) dimensions with a Lorentz scalar potential, subject to the so-called Majorana condition, in the Majorana representation. In this situation, these solutions are real-valued and describe a one-dimensional Majorana single particle. We specifically obtain solutions for the following cases: a Majorana particle at rest inside a box, a free (i.e., in a penetrable box with the periodic boundary condition), in an impenetrable box with no potential (here we only have four boundary conditions), and in a linear potential. All these problems are treated in a very detailed and systematic way. In addition, we obtain and discuss various results related to real wave functions. Finally, we also wish to point out that, in choosing the Majorana representation, the solutions of the Dirac equation with a Lorentz scalar potential can be chosen to be real but do not need to be real. In fact, complex solutions for this equation can also be obtained. Thus, a Majorana particle cannot be described only with the Dirac equation in the Majorana representation without explicitly imposing the Majorana condition.

show abstract

“…on Klein-Gordon oscillator [105,106], on a scalar field in the spacetime with torsion [107][108][109], on a Majorana fermion [110], on a scalar field in the rotating cosmic string spacetime [111,112] and on a scalar particle in a Gödel-type spacetime [113,114].…”

Section: Effects Of a Linear Central Potentialmentioning

confidence: 99%

A Massive Scalar Field under the Effects of the Lorentz Symmetry Violation by a CPT-Odd Nonminimal Coupling

Vitória

Belich

2019

Advances in High Energy Physics

View full text Add to dashboard Cite

In this paper, based on the Standard Model Extended gauge sector, we made a non-minimal coupling in the Klein-Gordon equation which characterizes the Lorentz symmetry violation and, through this nonminimal CPT-odd coupling, we investigate the effects of possible scenarios of Lorentz symmetry violation by electrical and magnetic field configurations on a massive scalar field in this background, where, analytically, we determine solutions of bound states.

show abstract

On the Majorana fermion subject to a linear confinement

Abstract: We analyse the linear confinement of a Majorana fermion in (1 + 1)-dimensions. We show that the Dirac equation can be solved analytically. Besides, we show that the spectrum of energy is discrete, however, the energy levels are not equally spaced.

Cited by 11 publications

References 56 publications

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

On real solutions of the Dirac equation for a one-dimensional Majorana particle

A Massive Scalar Field under the Effects of the Lorentz Symmetry Violation by a CPT-Odd Nonminimal Coupling

Contact Info

Product

Resources

About