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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 007, 24 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.007 (Mi sigma353) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Spectrum of a Discrete Non-Hermitian Quantum System

Ebru Ergun

Department of Physics, Ankara University, 06100 Tandogan, Ankara, Turkey
Full-text PDF (335 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2009.007
Abstract: In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness of the spectrum are established.
Keywords: difference operator; non-Hermiticity; spectrum; eigenvalue; eigenvector; completely continuous operator.
Received: October 28, 2008; in final form January 13, 2009; Published online January 19, 2009
Bibliographic databases:
Document Type: Article
MSC: 39A70; 81Q10
Language: English
Citation: Ebru Ergun, “On the Spectrum of a Discrete Non-Hermitian Quantum System”, SIGMA, 5 (2009), 007, 24 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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