Additional numerical and graphical evidence to support some Conjectures on discrete Schr{\"o}dinger operators with a more general long range condition
Language
en
Document de travail - Pré-publication
English Abstract
This document contains additional numerical and graphical evidence to support some of the conjectures mentioned in \cite{GM3}. We give more evidence for $\kappa=3,4$ in dimension 2. As mentioned in that article we still ...Read more >
This document contains additional numerical and graphical evidence to support some of the conjectures mentioned in \cite{GM3}. We give more evidence for $\kappa=3,4$ in dimension 2. As mentioned in that article we still don't quite understand the sets $\boldsymbol{\mu}_{\kappa}(\Delta)$ and $\boldsymbol{\Theta}_{\kappa}(\Delta)$ on $(0,1/2)$ for $\kappa=3$ in dimension 2. Here we give a bunch more threshold energies for $\kappa = 3$ in dimension 2.Read less <
English Keywords
Mourre theory
Chebyshev polynomials
polynomial interpolation
threshold
2010 Mathematics Subject Classification. 39A70
81Q10
47B25
47A10 discrete Schrödinger operator
long range potential
limiting absorption principle
Mourre theory
Origin
Hal imported