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Spectral properties of the discrete Schrödinger operator with non-local potential

Muminov, Z. and Manaf, N. A. and Kuljanov, U. (2016) Spectral properties of the discrete Schrödinger operator with non-local potential. In: 2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016, 26 January 2016 through 28 January 2016, Kuala Lumpur; Malaysia.

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Abstract

We study spectral properties of the one-dimensional discrete Schrödinger operator H whose potential is non-local which constructed via the delta function and shift operator, and depends on positive parameter μ. The dependence of the discrete spectrum and resonances on the parameters μ are explicitly derived.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:resonances
Subjects:T Technology > T Technology (General)
Divisions:Malaysia-Japan International Institute of Technology
ID Code:73243
Deposited By: Muhammad Atiff Mahussain
Deposited On:29 Nov 2017 23:58
Last Modified:29 Nov 2017 23:58

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