Relativistic confinement of neutral fermions with a trigonometric tangent potential
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Data
2007-01-12
Autores
Castro, Luis B.
de Castro, Antonio S.
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Iop Publishing Ltd
Resumo
The problem of neutral fermions subject to a pseudoscalar potential is investigated. Apart from the solutions for E = +/- mc(2), the problem is mapped into the Sturm-Liouville equation. The case of a singular trigonometric tangent potential (similar to 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.
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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 40, n. 2, p. 263-270, 2007.