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arXiv · 2201.09547

Additional numerical and graphical evidence to support some Conjectures on discrete Schrödinger operators with a more general long range condition

Sylvain Golénia·Marc-Adrien Mandich
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Abstract

This document contains additional numerical and graphical evidence to support some of the conjectures mentioned in \cite{GM3}. We give more evidence for $κ=3,4$ in dimension 2. As mentioned in that article we still don't quite understand the sets $\boldsymbolμ_κ(Δ)$ and $\boldsymbolΘ_κ(Δ)$ on $(0,1/2)$ for $κ=3$ in dimension 2. Here we give a bunch more threshold energies for $κ= 3$ in dimension 2.

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Sylvain Golénia, Marc-Adrien Mandich. 2022-01-24. Additional numerical and graphical evidence to support some Conjectures on discrete Schrödinger operators with a more general long range condition. https://arxiv.org/abs/2201.09547

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