Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials

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dc.creatorCastro, Luis B.
dc.creatorde Castro, Antonio S.
dc.date2008-03-11
dc.date.accessioned2026-07-07T11:14:17Z
dc.date.available2026-07-07T11:14:17Z
dc.descriptionThe Klein-Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, $V_{v}+V_{s}= \mathrm{constant}$. These intrinsically relativistic and isospectral problems are solved in a case of squared hyperbolic potential functions and bound states for either particles or antiparticles are found. The eigenvalues and eigenfuntions are discussed in some detail and the effective Compton wavelength is revealed to be an important physical quantity. It is revealed that a boson is better localized than a fermion when they have the same mass and are subjected to the same potentials.
dc.description3 figures
dc.identifierhttps://arxiv.org/abs/0803.1551
dc.identifierhttp://arxiv.org/abs/0803.1551
dc.identifierPhys.Scripta77:045007,2008
dc.identifierdoi:10.1088/0031-8949/77/04/045007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192019
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleBound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
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