Relativistic confinement of neutral fermions with a trigonometric tangent potential

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dc.creatorCastro, Luis B.
dc.creatorde Castro, Antonio S.
dc.date2006-11-06
dc.date.accessioned2026-07-07T11:23:00Z
dc.date.available2026-07-07T11:23:00Z
dc.descriptionThe problem of neutral fermions subject to a pseudoscalar potential is investigated. Apart from the solutions for $E=\pm mc^{2}$, the problem is mapped into the Sturm-Liouville equation. The case of a singular trigonometric tangent potential ($\sim \mathrm{tan} γx$) 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0611070
dc.identifierhttp://arxiv.org/abs/hep-th/0611070
dc.identifierJ.Phys.A40:263-270,2007
dc.identifierdoi:10.1088/1751-8113/40/2/005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194760
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleRelativistic confinement of neutral fermions with a trigonometric tangent potential
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