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Equipped, absolutely continuous subspaces and stationary construction of wave operators in the non-selfadjoint scattering theory. (Russian. English summary) Zbl 0876.47011

Summary: For a pair of non-selfadjoint operators with characteristic operator-functions having boundary values in the strong operator topology almost everywhere on the real axis, (local) wave operators are constructed. The investigation is based on the local stationary approach arising from the selfadjoint scattering theory and a certain interpretation of the absolutely continuous subspace as an equipped Hilbert space. Sufficient conditions for the existence of the wave operators are obtained and some of their properties are described.

MSC:

47A40 Scattering theory of linear operators
81U10 \(n\)-body potential quantum scattering theory
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