Second order perturbation theory for embedded eigenvalues
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | FAUPIN, Jérémy | |
| hal.structure.identifier | Aarhus University [Aarhus] | |
| dc.contributor.author | MØLLER, Jacob | |
| hal.structure.identifier | Aarhus University [Aarhus] | |
| dc.contributor.author | SKIBSTED, Erik | |
| dc.date.accessioned | 2024-04-04T03:15:15Z | |
| dc.date.available | 2024-04-04T03:15:15Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194135 | |
| dc.description.abstractEn | We study second order perturbation theory for embedded eigenvalues of an abstract class of self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the regularity of bound states with respect to a conjugate operator, we prove upper semicontinuity of the point spectrum and establish the Fermi Golden Rule criterion. Our results apply to massless Pauli-Fierz Hamiltonians for arbitrary coupling. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Second order perturbation theory for embedded eigenvalues | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00220-011-1278-x | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 1006.5869 | |
| bordeaux.journal | Communications in Mathematical Physics | |
| bordeaux.page | 193-228 | |
| bordeaux.volume | 306 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01279964 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01279964v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Mathematical%20Physics&rft.date=2011&rft.volume=306&rft.spage=193-228&rft.epage=193-228&rft.eissn=0010-3616&rft.issn=0010-3616&rft.au=FAUPIN,%20J%C3%A9r%C3%A9my&M%C3%98LLER,%20Jacob&SKIBSTED,%20Erik&rft.genre=article |
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