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

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

2006-11-15

arxiv.org/abs/math-ph/0611037v1

Physics

Mathematical Physics

27 pages. submitted to MPEJ

Scientific paper

Based 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

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