Szego condition and scattering for one-dimensional Dirac operators
R.V.Bessonov
TL;DR
This paper establishes the existence of modified wave operators for one-dimensional Dirac operators with spectral measures in the Szego class, advancing understanding of their scattering behavior.
Contribution
It introduces new results on scattering theory for Dirac operators under Szego class spectral conditions, which was previously unexplored.
Findings
Existence of modified wave operators proven.
Spectral measures in the Szego class are key.
Advances scattering theory for Dirac operators.
Abstract
We prove existence of modified wave operators for one-dimensional Dirac operators whose spectral measures belong to the Szego class on the real line.
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