Threshold resonances and eigenvalues of some schrödinger operators on lattices

The discrete Schrodinger operator Hλμ on the subspace of even functions of the Hilbert space ℓ2(Zn), with finite potential depending on λμ εR>0, is considered.The dependence of the threshold resonance and eigenvalues on theparameters λμ and n are explicitly derived.

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Main Authors: Muminov, Z., Fudziah, I.
Format: Article
Published: Universiti Putra Malaysia 2016
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Online Access:http://eprints.utm.my/id/eprint/71724/
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spelling my.utm.717242017-11-22T12:07:39Z http://eprints.utm.my/id/eprint/71724/ Threshold resonances and eigenvalues of some schrödinger operators on lattices Muminov, Z. Fudziah, I. T Technology (General) The discrete Schrodinger operator Hλμ on the subspace of even functions of the Hilbert space ℓ2(Zn), with finite potential depending on λμ εR>0, is considered.The dependence of the threshold resonance and eigenvalues on theparameters λμ and n are explicitly derived. Universiti Putra Malaysia 2016 Article PeerReviewed Muminov, Z. and Fudziah, I. (2016) Threshold resonances and eigenvalues of some schrödinger operators on lattices. Malaysian Journal of Mathematical Sciences, 10 . pp. 389-407. ISSN 1823-8343 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85012307156&partnerID=40&md5=b2798d72297d46243698ab07c2e38454
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic T Technology (General)
spellingShingle T Technology (General)
Muminov, Z.
Fudziah, I.
Threshold resonances and eigenvalues of some schrödinger operators on lattices
description The discrete Schrodinger operator Hλμ on the subspace of even functions of the Hilbert space ℓ2(Zn), with finite potential depending on λμ εR>0, is considered.The dependence of the threshold resonance and eigenvalues on theparameters λμ and n are explicitly derived.
format Article
author Muminov, Z.
Fudziah, I.
author_facet Muminov, Z.
Fudziah, I.
author_sort Muminov, Z.
title Threshold resonances and eigenvalues of some schrödinger operators on lattices
title_short Threshold resonances and eigenvalues of some schrödinger operators on lattices
title_full Threshold resonances and eigenvalues of some schrödinger operators on lattices
title_fullStr Threshold resonances and eigenvalues of some schrödinger operators on lattices
title_full_unstemmed Threshold resonances and eigenvalues of some schrödinger operators on lattices
title_sort threshold resonances and eigenvalues of some schrödinger operators on lattices
publisher Universiti Putra Malaysia
publishDate 2016
url http://eprints.utm.my/id/eprint/71724/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85012307156&partnerID=40&md5=b2798d72297d46243698ab07c2e38454
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score 13.211869