Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues

Reducible Fermi Surface for Multi-layer Quantum Graphs Including Stacked Graphene

(2021) Lee Fisher et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

On Landis’ conjecture in the plane when the potential has an exponentially decaying negative part

(2020) B. Davey et al.   St Petersburg Mathematical Journal

Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators

(2020) Wencai Liu et al.   JOURNAL D ANALYSE MATHEMATIQUE

Irreducibility of the Fermi surface for planar periodic graph operators

(2020) Wei Li et al.   LETTERS IN MATHEMATICAL PHYSICS

Generic properties of dispersion relations for discrete periodic operators

(2020) Ngoc Do et al.   JOURNAL OF MATHEMATICAL PHYSICS

Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials

(2019) Mark Embree et al.   Journal of Spectral Theory

Reducible Fermi surfaces for non-symmetric bilayer quantum-graph operators

(2019) Stephan Shipman   Journal of Spectral Theory

Criteria for Embedded Eigenvalues for Discrete Schrödinger Operators

(2019) Wencai Liu   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Discrete Bethe–Sommerfeld Conjecture

(2018) Rui Han et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

An overview of periodic elliptic operators

(2016) Peter Kuchment   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Spectral Properties of Schrödinger Operators on Perturbed Lattices

(2015) Kazunori Ando et al.   ANNALES HENRI POINCARE

On Landis’ Conjecture in the Plane

(2015) Carlos Kenig et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Eigenfunctions of Unbounded Support for Embedded Eigenvalues of Locally Perturbed Periodic Graph Operators

(2014) Stephen P. Shipman   COMMUNICATIONS IN MATHEMATICAL PHYSICS

A Rellich type theorem for discrete Schrödinger operators

(2014) Hiroshi Isozaki et al.   Inverse Problems and Imaging

Bounds on the density of states for Schrödinger operators

(2012) Jean Bourgain et al.   INVENTIONES MATHEMATICAE

Zeroes of the spectral density of the periodic Schrödinger operator with Wigner–von Neumann potential

(2011) SERGUEI NABOKO et al.   MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

Bethe–Sommerfeld Conjecture

(2008) Leonid Parnovski   ANNALES HENRI POINCARE