Scattering of Sine-Gordon kinks on potential wells

dc.creatorPiette, B.
dc.creatorZakrzewski, W. J.
dc.date2006-11-03
dc.date.accessioned2026-07-07T11:22:58Z
dc.date.available2026-07-07T11:22:58Z
dc.descriptionWe study the scattering properties of Sine Gordon kinks on obstructions in the form of finite size potential `wells'. We model this by making the coefficient of the $\cos(ϕ)-1$ term in the Lagrangian position dependent. We show that when the kinks find themselves in the well they radiate and then interact with this radiation. As a result of this energy loss the kinks become trapped for small velocities while at higher velocities they are transmitted with a loss of energy. However, the interaction with the radiation can produce `unexpected' reflections by the well. We present two simple models which capture the gross features of this behaviour. Both involve standing waves either at the edges of the well or in the well itself.
dc.description14 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0611040
dc.identifierhttp://arxiv.org/abs/hep-th/0611040
dc.identifierJ.Phys.A40:5995-6010,2007
dc.identifierdoi:10.1088/1751-8113/40/22/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194751
dc.subjectHigh Energy Physics - Theory
dc.titleScattering of Sine-Gordon kinks on potential wells
dc.typetext

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