Exceptional points in the spectra of atoms in external fields

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dc.creatorCartarius, Holger
dc.creatorMain, Jörg
dc.creatorWunner, Günter
dc.date2009-02-27
dc.date.accessioned2026-07-07T13:13:25Z
dc.date.available2026-07-07T13:13:25Z
dc.descriptionWe investigate exceptional points, which are branch point singularities of two resonance eigenstates, in spectra of the hydrogen atom in crossed external electric and magnetic fields. A procedure to systematically search for exceptional points is presented, and their existence is proven. The properties of the branch point singularities are discussed with effective low-dimensional matrix models, their relation with avoided level crossings is analyzed, and their influence on dipole matrix elements and the photoionization cross section is investigated. Furthermore, the rare case of a connection between three resonances almost forming a triple-degeneracy in the form of a cubic root branch point is discussed.
dc.description12 pages, 9 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0902.4777
dc.identifierhttp://arxiv.org/abs/0902.4777
dc.identifierPhys. Rev. A 79, 053408 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.053408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229885
dc.subjectChaotic Dynamics
dc.subjectAtomic Physics
dc.titleExceptional points in the spectra of atoms in external fields
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