Bounded solutions of fermions in the background of mixed vector-scalar Pöschl-Teller-like potentials

dc.creatorCastro, L. B.
dc.creatorde Castro, A. S.
dc.creatorHott, M. B.
dc.date2006-11-15
dc.date.accessioned2026-07-07T11:23:08Z
dc.date.available2026-07-07T11:23:08Z
dc.descriptionThe problem of a fermion subject to a convenient mixing of vector and scalar potentials in a two-dimensional space-time is mapped into a Sturm-Liouville problem. For a specific case which gives rise to an exactly solvable effective modified Pöschl-Teller potential in the Sturm-Liouville problem, bound-state solutions are found. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. The Dirac delta potential as a limit of the modified P% öschl-Teller potential is also discussed. The problem is also shown to be mapped into that of massless fermions subject to classical topological scalar and pseudoscalar potentials.
dc.description10 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0611162
dc.identifierhttp://arxiv.org/abs/hep-th/0611162
dc.identifierEurophys.Lett.77:20009,2007
dc.identifierdoi:10.1209/0295-5075/77/20009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194794
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleBounded solutions of fermions in the background of mixed vector-scalar Pöschl-Teller-like potentials
dc.typetext

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