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

• Main Authors: Muminov, Z., Manaf, N. A., Kuljanov, U.
• Format: Conference or Workshop Item
• Published: American Institute of Physics Inc. 2016
• Subjects: T Technology (General)
• Online Access: http://eprints.utm.my/id/eprint/73243/; https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984548249&doi=10.1063%2f1.4952493&partnerID=40&md5=3d6b582d4381b819cceda7cc3e9899b7

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...