Bögli, Sabine, Marletta, Marco  ORCID: https://orcid.org/0000-0003-1546-4046 and Tretter, Christiane
2026.
The Žislin essential numerical range for Schrödinger operators, with applications to Stark-type problems and their resonances.
Annales Henri Poincaré
10.1007/s00023-026-01683-2
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Official URL: https://doi.org/10.1007/s00023-026-01683-2
Abstract
We introduce a new essential numerical range concept for Schrödinger operators with complex potentials and demonstrate that this so-called Žislin essential numerical range enjoys significant practical advantages in the analysis of spectral approximation for non-sectorial operators via domain truncation. As an application, dissipative barrier Stark operators are considered.
| Item Type: | Article |
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| Date Type: | Published Online |
| Status: | In Press |
| Schools: | Schools > Mathematics |
| Additional Information: | RRS applied |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| Date of First Compliant Deposit: | 3 July 2026 |
| Date of Acceptance: | 19 February 2026 |
| Last Modified: | 03 Jul 2026 15:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/187774 |
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