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STRICT POSITIVITY OF A RELATIVISTIC HAMILTONIAN DUE TO BROWN AND RAVENHALL

Published online by Cambridge University Press:  01 May 1998

C. TIX
C. TIX
Affiliation:
Matematisk institutt, Universitetet i Oslo, Postboks 1053, N-0316 Oslo, Norway Current address: Mathematik, Universität Regensburg, D-93040 Regensburg, Germany
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Abstract

We prove that the spectrum of a suitably projected Dirac operator — sometimes 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 recently by Evans et al., and disproves a conjecture made by Hardekopf and Sucher.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 3 , May 1998 , pp. 283 - 290
Copyright
© The London Mathematical Society 1998

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