Asymptotic completeness in dissipative scattering theory

Monday, 27 March, 2017

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We consider an abstract pseudo-Hamiltonian for the nuclear optical model, given by a dissipative operator of the form H = H_V - i C^* C, where H_V = H_0 + V is self-adjoint and C is a bounded operator. We study the wave operators associated to H and H0. We prove that they are asymptotically complete if and only if H does not have spectral singularities on the real axis. For Schr\"odinger operators, the spectral singularities correspond to real resonances.


Jérémy Faupin
Jürg Fröhlich