- 99-29 V. Georgescu, M. Mantoiu
- On the Spectral Theory of Dirac Type Hamiltonians
Jan 25, 99
(auto. generated ps),
of related papers
Abstract. We introduce a class of matrix valued pseudo-differential operators that admit scalar
locally conjugate operators (in the sense of E. Mourre) and we give a general method
for studying singular perturbations of such operators.
In particular, we develop the spectral and scattering theory for a class of hamiltonians
which contains the Dirac operators with arbitrary Coulomb singularities.