On the Majorana fermion subject to a linear confinement

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. •Linear confinement of a Mojorana fermion.•Analytical...

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Bibliographic Details
Published inAnnals of physics Vol. 385; pp. 36 - 39
Main Authors Ribeiro, R.F., Bakke, K.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.10.2017
Subjects
Analytical solutions
Linear scalar potential
Majorana fermions
Relativistic wave equations
Linear scalar potential
Relativistic wave equations
Majorana fermions
Analytical solutions
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Summary: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. •Linear confinement of a Mojorana fermion.•Analytical solutions to the relativistic wave equation.•Discrete spectrum of energy, but not equally spaced.•No gap between the positive and negative energies.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2017.08.003