 99297 IFTIMOVICI Andrei, MANTOIU Marius
 Limiting Absorption Principle at Critical
Values for the Dirac Operator
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Aug 13, 99

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Abstract. We prove estimates for the resolvent $(H_0  z)^{1}$
of the Dirac operator $H_0 = \alpha \cdot P + m\beta$,
valid even for $z$ close to the critical points $\pm m$.
In particular, it is shown that the operator
$(1 + x^{2})^{1/2}$ is globally $H_0$smooth.
As a byproduct, the absence of the singular spectrum
as well as the existence and unitarity of the wave operators
are obtained for a class of perturbations of $H=H_0 +V$.
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