 99284 G. Panati, A. Teta
 The FluxAcrossSurfaces Theorem for a Point Interaction Hamiltonian
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Jul 30, 99

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Abstract. The fluxacrosssurfaces theorem establishes a fundamental relation in
quantum scattering theory between the asymptotic outgoing state and a
quantity which is directly measured in experiments. We prove it for a
hamiltonian with a point interaction, using the explicit expression for
the propagator. The proof requires only assuptions on the initial state
and it covers also the case of zeroenergy resonance. We also outline a
different approach based on generalized eigenfunctions, in view of a
possible extension of the result.
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