Geodesic
Localization of the essential spectrum for relativistic $N$-electron ions and atoms
Documenta mathematica, Tome 10 (2005), pp. 417-445.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The HVZ theorem is proven for the pseudorelativistic $N$-electron Jansen-Hess operator $(2\leq N \leq Z)$ which acts on the spinor Hilbert space ${\mathcal{A}}(H_1({\Bbb R}^3) {\o}times {\Bbb C}^4)^N$ where ${\mathcal{A}}$ denotes antisymmetrization with respect to particle exchange. This 'no pair' operator results from the decoupling of the electron and positron degrees of freedom up to second order in the central potential strength $\gamma=Ze^2$.
Classification : 81Q10, 81V45 
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     title = {Localization of the essential spectrum for relativistic $N$-electron ions and atoms},
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Jakubassa-Amundsen, D.H. Localization of the essential spectrum for relativistic $N$-electron ions and atoms. Documenta mathematica, Tome 10 (2005), pp. 417-445. http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a5/