Outputs (2)

Guaranteed resonance enclosures and exclosures for atoms and molecules (2014)
Journal Article
Boegli, S., Brown, B. M., Marletta, M., Tretter, C., & Wagenhofer, M. (2014). Guaranteed resonance enclosures and exclosures for atoms and molecules. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470(2171), https://doi.org/10.1098/rspa.2014.0488

In this paper, we confirm, with absolute certainty, a conjecture on a certain oscillatory behaviour of higher auto-ionizing resonances of atoms and molecules beyond a threshold. These results not only definitely settle a more than 30 year old controv... Read More about Guaranteed resonance enclosures and exclosures for atoms and molecules.

Remarks on the Convergence of Pseudospectra (2014)
Journal Article
Boegli, S., & Siegl, P. (2014). Remarks on the Convergence of Pseudospectra. Integral Equations and Operator Theory, 80(3), 303-321. https://doi.org/10.1007/s00020-014-2178-1

We establish the convergence of pseudospectra in Hausdorff distance for closed operators acting in different Hilbert spaces and converging in the generalised norm resolvent sense. As an assumption, we exclude the case that the limiting operator has c... Read More about Remarks on the Convergence of Pseudospectra.