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The European Physical Journal D
Article
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arXiv.org e-Print Archive
Preprint . 2010
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The European Physical Journal D
Article . 2010 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2010
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The European Physical Journal D
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Resonance scattering and singularities of the scattering function

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 06 Apr 2010Embargo end date: 01 Jan 2010 English Publisher:Springer Science and Business Media LLCJournal:The European Physical Journal D, volume 58, pages 53-56 (issn: 1434-6060, eissn: 1434-6079, Copyright policy )
Authors: R. G. Nazmitdinov; R. G. Nazmitdinov; W. D. Heiss;

doi: 10.1140/epjd/e2010-00088-5 , 10.48550/arxiv.1003.3105

arXiv: http://arxiv.org/abs/1003.3105

Resonance scattering and singularities of the scattering function

Abstract

Recent studies of transport phenomena with complex potentials are explained by generic square root singularities of spectrum and eigenfunctions of non-Hermitian Hamiltonians. Using a two channel problem we demonstrate that such singularities produce a significant effect upon the pole behaviour of the scattering matrix, and more significantly upon the associated residues. This mechanism explains why by proper choice of the system parameters the resonance cross section is increased drastically in one channel and suppressed in the other channel.

4 pages, 3 figures

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Keywords

Nuclear Theory (nucl-th), Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Nuclear Theory, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Quantum Physics (quant-ph)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
Green
bronze