The Breit-Wigner series for noncompactly supported potentials on the line

We propose a conjecture stating that for resonances, $\lambda_j$, of a noncompactly supported potential, the series $\sum_j \operatorname{Im} \lambda_j/|\lambda_j|^2$ diverges. This series appears in the Breit-Wigner approximation for a compactly supported potential, in which case it converges. We p...

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1. Verfasser:	Backus, Aidan
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs Mathematics - Complex Variables Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics
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