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

• Autores: D.H. Jakubassa-Amundsen
• Localización: Mathematical Physics Electronic Journal, ISSN-e 1086-6655, Vol. 14, Nº 2, 2008
• Idioma: inglés
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• Resumen

  • ased 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 $Z\leq 50$).