On the essential spectrum of the Jansen-Hess operator for two-electron ions
Abstract
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
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2006
- DOI:
- 10.48550/arXiv.math-ph/0611037
- arXiv:
- arXiv:math-ph/0611037
- Bibcode:
- 2006math.ph..11037J
- Keywords:
-
- Mathematical Physics;
- Mathematics - Mathematical Physics;
- Mathematics - Spectral Theory;
- 81Q10;
- 81V45
- E-Print:
- 27 pages. submitted to MPEJ