On the a.c. spectrum of 1D discrete Dirac operator
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOLENIA, Sylvain | |
| hal.structure.identifier | École normale supérieure - Cachan, antenne de Bretagne [ENS Cachan Bretagne] | |
| dc.contributor.author | HAUGOMAT, Tristan | |
| dc.date.accessioned | 2024-04-04T02:19:51Z | |
| dc.date.available | 2024-04-04T02:19:51Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189441 | |
| dc.description.abstractEn | In this paper, under some integrability condition, we prove that an electrical perturbation of the discrete Dirac operator has purely absolutely continuous spectrum for the one dimensional case. We reduce the problem to a non-self-adjoint Laplacian-like operator by using a spin up/down decomposition and rely on a transfermatrices technique. | |
| dc.language.iso | en | |
| dc.title.en | On the a.c. spectrum of 1D discrete Dirac operator | |
| 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 | 1207.3516 | |
| 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-00717811 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00717811v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=GOLENIA,%20Sylvain&HAUGOMAT,%20Tristan&rft.genre=preprint |
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