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arXiv · 1703.09018

Asymptotic completeness in dissipative scattering theory

Jérémy Faupin·Jürg Fröhlich
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Abstract

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 $H_0$. We prove that they are asymptotically complete if and only if $H$ does not have spectral singularities on the real axis. For Schrödinger operators, the spectral singularities correspond to real resonances.

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Jérémy Faupin, Jürg Fröhlich. 2017-03-27. Asymptotic completeness in dissipative scattering theory. https://arxiv.org/abs/1703.09018

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