 01449 W. O. Amrein, M. Mantoiu, R Purice
 Propagation Properties for Schrodinger Operators Affiliated to Certain C*Algebras
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Dec 5, 01

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Abstract. We consider anisotropic Schrodinger operators H=P^2+V in L^2(R^n). To certain
asymptotic regions F we assign asymptotic Hamiltonians H_F such that (a)
the spectrum of H_F is included in the essential spectrum of H and (b) states
with energies not belonging to the spectrum of H_F do not propagate into
a neighbourhood of F under the evolution group defined by H. The proof relies
on C*algebras techniques. We can treat in particular potentials that tend
asymptoticaly to different periodic functions in different cones, potentials
with oscillation that decays at infinity, as well as some examples considered
before by Davies and Simon in [3].
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