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

arXiv:quant-ph/0612152 · doi:10.1140/epjb/e2007-00143-2

Abstract

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.

5 figures (submitted for publication)