Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, Petr (2017). Non-accretive Schrödinger operators and exponential decay of their eigenfunctions. Israel journal of mathematics, 221(2), pp. 779-802. Springer 10.1007/s11856-017-1574-z
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We consider non-self-adjoint electromagnetic Schrödinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition on the electromagnetic potential, we introduce a Dirichlet realisation as a closed densely defined operator with non-empty resolvent set and show that the eigenfunctions corresponding to discrete eigenvalues satisfy an Agmon-type exponential decay.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Siegl, Petr |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0021-2172 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
17 Apr 2018 15:32 |
Last Modified: |
05 Dec 2022 15:09 |
Publisher DOI: |
10.1007/s11856-017-1574-z |
BORIS DOI: |
10.7892/boris.109172 |
URI: |
https://boris.unibe.ch/id/eprint/109172 |
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