On the essential spectrum of the Jansen-Hess operator for two-electron ions

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dc.creatorJakubassa-Amundsen, D. H.
dc.date2006-11-15
dc.date.accessioned2026-07-07T07:32:21Z
dc.date.available2026-07-07T07:32:21Z
dc.descriptionBased on the HVZ theorem and dilation analyticity of the pseudorelativistic no-pair Jansen-Hess operator, it is shown that for subcritical potential strength (Z < 90) the singular continuous spectrum is absent. The bound is slightly higher (Z < 102) for the Brown-Ravenhall operator whose eigenvalues are, by the virial theorem, confined to <2m if Z<50.math/m
dc.description27 pages. submitted to MPEJ
dc.identifierhttps://arxiv.org/abs/math-ph/0611037
dc.identifierhttp://arxiv.org/abs/math-ph/0611037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119084
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject81Q10,81V45
dc.titleOn the essential spectrum of the Jansen-Hess operator for two-electron ions
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