Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-06
J.Phys.A40:263-270,2007
Physics
High Energy Physics
High Energy Physics - Theory
12 pages
Scientific paper
10.1088/1751-8113/40/2/005
The 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 ($\sim \mathrm{tan} \gamma x$) 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.
Castro Luis B.
de Castro Antonio Soares
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