Relativistic confinement of neutral fermions with a trigonometric tangent potential

Abstract

The problem of neutral fermions subject to a pseudoscalar potential is investigated. Apart from the solutions for $E=\pm m{c}^2$, the problem is mapped into the Sturm-Liouville equation. The case of a singular trigonometric tangent potential ($\sim \tan \gamma x$) is exactly solved and the complete set of solutions is discussed in some detail. It is revealed that this intrinsically relativistic and true confining potential is able to localize fermions into a region of space arbitrarily small without the menace of particle-antiparticle production.

arXiv comment12 pages

References in corpus (10)

• One-dimensional Dirac oscillator in a thermal bath
• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Finite temperature effects on CP violating asymmetries
• Bound States of the Dirac Equation for a Class of Effective Quadratic Plus Inversely Quadratic Potentials
• Trapping neutral fermions with kink-like potentials
• Bound states by a pseudoscalar Coulomb potential in 1+1 dimensions
• Confinement of neutral fermions by a pseudoscalar double-step potential in (1+1) dimensions
• Bounded solutions of neutral fermions with a screened Coulomb potential
• Scattering of neutral fermions by a pseudoscalar potential step in two-dimensional space-time
• The peremptory influence of a uniform background for trapping neutral fermions with an inversely linear potential

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• Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin
• Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
• Missing solution in a Cornell potential