Additional numerical and graphical evidence to support some Conjectures on discrete Schr{\"o}dinger operators with a more general long range condition
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOLÉNIA, Sylvain | |
| hal.structure.identifier | Chercheur indépendant | |
| dc.contributor.author | MANDICH, Marc-Adrien | |
| dc.date.accessioned | 2024-04-04T02:43:12Z | |
| dc.date.available | 2024-04-04T02:43:12Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191310 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.subject.en | Mourre theory | |
| dc.subject.en | Chebyshev polynomials | |
| dc.subject.en | polynomial interpolation | |
| dc.subject.en | threshold | |
| dc.subject.en | 2010 Mathematics Subject Classification. 39A70 | |
| dc.subject.en | 81Q10 | |
| dc.subject.en | 47B25 | |
| dc.subject.en | 47A10 discrete Schrödinger operator | |
| dc.subject.en | long range potential | |
| dc.subject.en | limiting absorption principle | |
| dc.subject.en | Mourre theory | |
| dc.title.en | Additional numerical and graphical evidence to support some Conjectures on discrete Schr{\"o}dinger operators with a more general long range condition | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 2201.09547 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03499095 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03499095v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=GOL%C3%89NIA,%20Sylvain&MANDICH,%20Marc-Adrien&rft.genre=preprint |
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