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Hyperfine splitting in non-relativistic QED: Uniqueness of the dressed hydrogen atom ground state

hal.structure.identifierLaboratoire de Mathématiques de Reims [LMR]
dc.contributor.authorAMOUR, Laurent
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorFAUPIN, Jérémy
dc.date.accessioned2024-04-04T03:15:13Z
dc.date.available2024-04-04T03:15:13Z
dc.date.issued2013
dc.identifier.issn0010-3616
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194132
dc.description.abstractEnWe consider a free hydrogen atom composed of a spin- nucleus and a spin- electron in the standard model of non-relativistic QED. We study the Pauli-Fierz Hamiltonian associated with this system at a fixed total momentum. For small enough values of the fine-structure constant, we prove that the ground state is unique. This result reflects the hyperfine structure of the hydrogen atom ground state.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enHyperfine splitting in non-relativistic QED: Uniqueness of the dressed hydrogen atom ground state
dc.typeArticle de revue
dc.identifier.doi10.1007/s00220-012-1625-6
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.identifier.arxiv1112.0413
bordeaux.journalCommunications in Mathematical Physics
bordeaux.page425-450
bordeaux.volume319
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01279970
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01279970v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Mathematical%20Physics&rft.date=2013&rft.volume=319&rft.issue=2&rft.spage=425-450&rft.epage=425-450&rft.eissn=0010-3616&rft.issn=0010-3616&rft.au=AMOUR,%20Laurent&FAUPIN,%20J%C3%A9r%C3%A9my&rft.genre=article


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