THRESHOLD ANALYSIS OF THE NON-LOCAL DISCRETE SCHRÖDINGER OPERATOR WITH ONE-RANK PERTURBATION
DOI:
https://doi.org/10.55439/yutsftim/576Kalit so‘zlar:
Essential spectrum, threshold resonance, threshold eigenvalue, regular point.Abstrak
The behaviour of the embedded eigenvalues and resonances is discussed at the
lower threshold of the essential spectrum of non-local discrete Schrödinger operators
with the Kroneker - potential with the mass 0. This operator is constructed by
taking a strictly increasing C function of the standard discrete Laplacian instead of
the original one. The dependence of the existence of resonances on this function and
the lattice dimension are explicitly derived. We study the limits of eigenvalues as
Z and 0 ] , where 0 is the value of which provides there existence of
the threshold resonance.
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