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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書目詳細資料
Main Authors: Muminov, Z., Fudziah, I.
格式: Article
出版: Universiti Putra Malaysia 2016
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在線閱讀: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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總結: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.