 97140 Arians S.
 Geometric Approach to Inverse Scattering for Hydrogenlike Systems in a Homogeneous Magnetic Field
(48K, LaTeX 2e)
Mar 20, 97

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

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, longrange 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.
This paper is also available by anonymous ftp from
work1.iram.rwthaachen.de (134.130.161.65)
in the directory /pub/papers/arians as a LaTeX 2e
tex, dvi or ps file ar971.*.
 Files:
97140.src(
desc ,
97140.tex )