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Relativistic confinement of neutral fermions with a trigonometric tangent potential

Luis B. Castro·Antonio S. de Castro
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Abstract

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 ($\sim \mathrm{tan} γx$) 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.

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Luis B. Castro, Antonio S. de Castro. 2006-11-06. Relativistic confinement of neutral fermions with a trigonometric tangent potential. https://doi.org/10.1088/1751-8113%2F40%2F2%2F005

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