Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean Francois | |
| hal.structure.identifier | Laboratoire de Mathématiques et Applications de Metz [LMAM] | |
| dc.contributor.author | FAUPIN, Jérémy | |
| dc.date.accessioned | 2024-04-04T02:17:32Z | |
| dc.date.available | 2024-04-04T02:17:32Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189236 | |
| dc.description.abstractEn | We consider an atom interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. The nucleus is supposed to be fixed. We prove smoothness of the resolvent and local decay of the photon dynamics for quantum states in a spectral interval I just above the ground state energy. Our results are uniform with respect to I. Their proofs are based on abstract Mourreʼs theory, a Mourre inequality established by Fröhlich, Griesemer and Sigal (see Fröhlich et al. (2008) [14]), Hardy-type estimates in Fock space, and a low-energy dyadic decomposition. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Non-relativistic QED | |
| dc.subject.en | Resolvent estimates | |
| dc.subject.en | Local energy decay | |
| dc.subject.en | Mourre theory | |
| dc.title.en | Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jfa.2011.10.006 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Functional Analysis | |
| bordeaux.page | 850-888 | |
| bordeaux.volume | 262 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00994365 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00994365v1 | |
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