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Bound states in the continuum in a single-level Fano-Anderson model

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arxiv quant-ph/0612152 v1 pith:73UGDLKS submitted 2006-12-18 quant-ph

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keywords continuumlatticeboundfano-andersonmodelsingle-levelstatesboundary
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Bound states in the continuum (BIC) are shown to exist in a single-level Fano-Anderson model with a colored interaction between the discrete state and a tight-binding continuum, which may describe mesoscopic electron or photon transport in a semi-infinite one-dimensional lattice. The existence of BIC is explained in the lattice realization as a boundary effect induced by lattice truncation.

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