Threshold analysis of the three dimensional lattice Schrödinger operator with non-local potential

DOI10.1134/S199508022006013XzbMath1452.35123OpenAlexW3043403663MaRDI QIDQ2206710

Zahriddin I. Muminov, Shukhrat Lakaev, Sh. U. Alladustov

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022006013x

zbMATH Keywords

discrete Schrödinger operatorsembedded eigenvaluesthreshold resonance

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Difference operators (39A70)

Related Items (17)

On the number of eigenvalues of the lattice model operator in one-dimensional case ⋮ Invariant subspaces of the Schrödinger operator with a finite support potential ⋮ On the discrete spectra of Schrödinger-type operators on one dimensional lattices ⋮ On the spectrum of two-particle Schrödinger operator with point interaction ⋮ The spectrum of a non-local discrete Schrödinger operator with a delta potential on the one-dimentional lattice ⋮ Infiniteness of the discrete spectrum of two-particle discrete Schrödinger operators ⋮ On the number and locations of eigenvalues of the discrete Schrödinger operator on a lattice ⋮ The essential spectrum of a three particle Schrödinger operator on lattices ⋮ On the discrete spectrum of a one-dimensional discrete Schrödinger operator with a perturbation of rank one ⋮ On the existence of bound states of a system of two fermions on the two-dimensional cubic lattice ⋮ Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one ⋮ The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices ⋮ On the number and location of eigenvalues of the two particle Schrödinger operator on a lattice ⋮ Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian ⋮ The exact number of eigenvalues of the discrete Schrödinger operators in one-dimensional case ⋮ On the essential spectrum of three-particle discrete Schrödinger operators with short-range potentials ⋮ Threshold analysis of the one-rank perturbation non-local discrete Laplacian

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• Quantum Graphs and Their Applications

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