Arians S.
Geometric Approach to Inverse Scattering for Hydrogen-like Systems in a Homogeneous Magnetic Field
(48K, LaTeX 2e)

ABSTRACT.  We consider the Hamiltonian of one quantum particle in a homogeneous 
magnetic field B and a potential V in space dimensions three. If the magnetic field B is given and V is of short range then
the high velocity limit of the scattering operator uniquely determines the
potential V.<br>
If, in addition, long-range potentials V^l are present, 
some knowledge of (the far out tail of) V^l is needed to define a modified  
Dollard wave operator and a scattering operator S^D. Again its high velocity
limit uniquely determines V=V^s+V^l, if B is given.<br>
We generalize our results to a system of two interacting quantum particles 
with opposite electric charges.  
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