MPEJ Volume 14, No. 2, 23 pp.
Received: Oct 4, 2006. Revised: Oct 19, 2007. Accepted: Aug 8, 2008.


D. H. Jakubassa-Amundsen
On the essential spectrum of the Jansen-Hess operator for two-electron ions


ABSTRACT: Based on the HVZ theorem, the absence of embedded single-particle
eigenvalues and dilation analyticity of the pseudorelativistic no-pair
Jansen-Hess operator, it is proven that for subcritical central charge $Z$
there is no singular continuous spectrum in ${\Bbb R} \backslash
[\Sigma_0,2m]$.  Moreover, for the two-particle Brown-Ravenhall operator, the
absence of eigenvalues above $2m$ is shown  (if $Z\leq 50$).

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