Hamiltonians and Green's functions which interpolate between two and three dimensions

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dc.creatorDick, R.
dc.date2002-04-24
dc.date.accessioned2026-07-07T02:45:12Z
dc.date.available2026-07-07T02:45:12Z
dc.descriptionI propose to use Hamiltonians which contain two-dimensional and three-dimensional kinetic terms for the description of two-dimensional systems in physics. As a model system the evolution of three-dimensional wavefunctions in the presence of an infinitely thin layer is studied. The model predicts distance laws for correlation functions which interpolate between two-dimensional and three-dimensional behavior. It also predicts that in certain cases transmission probabilities through thin layers should depend not only on the transverse, but also on the longitudinal momentum of the infalling particles. The model also yields a static potential which interpolates between the two-dimensional logarithmic potential at small distances and the three-dimensional (1/r)-potential at large distances.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0204534
dc.identifierhttp://arxiv.org/abs/cond-mat/0204534
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19213
dc.subjectCondensed Matter
dc.titleHamiltonians and Green's functions which interpolate between two and three dimensions
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