Global estimates of resonances for 1D Dirac operators
Evgeny Korotyaev
TL;DR
This paper provides estimates for the sum of negative powers of resonances in 1D massless Dirac operators, relating them to the potential's norm and support size, advancing understanding of spectral properties.
Contribution
It introduces new bounds on resonances for 1D Dirac operators with compactly supported potentials, linking spectral data to potential characteristics.
Findings
Resonance sums are bounded by potential norm and support diameter.
Provides explicit estimates for resonances in 1D Dirac operators.
Enhances spectral analysis of quantum systems with Dirac-type operators.
Abstract
We discuss resonances for 1D massless Dirac operators with compactly supported potentials on the line. We estimate the sum of the negative power of all resonances in terms of the norm of the potential and the diameter of its support.
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