A single-mode quantum transport in serial-structure geometric scatterers

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dc.creatorExner, Pavel
dc.creatorTater, Milos
dc.creatorVanek, David
dc.date2001-03-16
dc.date.accessioned2026-07-07T06:33:59Z
dc.date.available2026-07-07T06:33:59Z
dc.descriptionWe study transport in quantum systems consisting of a finite array of N identical single-channel scatterers. A general expression of the S matrix in terms of the individual-element data obtained recently for potential scattering is rederived in this wider context. It shows in particular how the band spectrum of the infinite periodic system arises in the limit $N\to\infty$. We illustrate the result on two kinds of examples. The first are serial graphs obtained by chaining loops or T-junctions. A detailed discussion is presented for a finite-periodic "comb"; we show how the resonance poles can be computed within the Krein formula approach. Another example concerns geometric scatterers where the individual element consists of a surface with a pair of leads; we show that apart of the resonances coming from the decoupled-surface eigenvalues such scatterers exhibit the high-energy behavior typical for the delta' interaction for the physically interesting couplings.
dc.description36 pages, a LaTeX source file with 2 TeX drawings, 3 ps and 3 jpeg figures attached
dc.identifierhttps://arxiv.org/abs/quant-ph/0103094
dc.identifierhttp://arxiv.org/abs/quant-ph/0103094
dc.identifierJ. Math. Phys. 42 (2001), 4050-4078
dc.identifierdoi:10.1063/1.1389287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99380
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.titleA single-mode quantum transport in serial-structure geometric scatterers
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