STRICT POSITIVITY OF A RELATIVISTIC HAMILTONIAN DUE TO BROWN AND RAVENHALL

Authors
TIX C
Citation
C. Tix, STRICT POSITIVITY OF A RELATIVISTIC HAMILTONIAN DUE TO BROWN AND RAVENHALL, Bulletin of the London Mathematical Society, 30, 1998, pp. 283-290
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Bulletin of the London Mathematical Society → ACNP
ISSN journal
00246093
Volume
30
Year of publication
1998
Part
3
Pages
283 - 290
Database
ISI
SICI code
0024-6093(1998)30:<283:SPOARH>2.0.ZU;2-D
Abstract
We prove that the spectrum of a suitably projected Dirac operator-some times called the no-pair operator-introduced by Brown and Ravenhall is bounded from below by some positive constant when the nuclear charge is below some critical charge. This bound improves a result obtained r ecently by Evans et at, and disproves a conjecture made by Hardekopf a nd Sucher.