Spectral Singularities do not Correspond to Bound States in the Continuum

We show that, contrary to a claim made in arXiv:1011.0645, the von Neumann-Winger bound states that lie in the continuum of the scattering states are fundamentally different from Naimark’s spectral singularities.

Bibliographic Details
Main Author: Ali Mostafazadeh
Format: Article
Language:English
Published: CTU Central Library 2013-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1813
Description
Summary:We show that, contrary to a claim made in arXiv:1011.0645, the von Neumann-Winger bound states that lie in the continuum of the scattering states are fundamentally different from Naimark’s spectral singularities.
ISSN:1210-2709
1805-2363