München 1997 – wissenschaftliches Programm

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 8: Endliche Quantensysteme

MP 8.5: Fachvortrag

Donnerstag, 20. März 1997, 15:40–16:00, HS 110

The Geometrical Approach to Inverse Scattering for the Dirac-Equation. — •Wolf Jung — Inst. f. Reine u. Angew. Math., RWTH Aachen,Templergraben 55, 52062 Aachen

The high-energy-limit of the scattering operator for multidimensional relativistic dynamics, including a Dirac particle in an electromagnetic field, is investigated by using time-dependent, geometrical methods. This yields a reconstruction formula involving the exponential of an X-ray transform of the potential. Thus the field can be obtained uniquely from scattering data.