1904.03954.pdf (224.37 kB)
Download fileImproved eigenvalue bounds for Schrödinger operators with slowly decaying potentials
We extend a result of Davies and Nath (J Comput Appl Math 148(1):1–28, 2002) on the location of eigenvalues of Schrödinger operators with slowly decaying complex-valued potentials to higher dimensions. In this context, we also discuss various examples related to the Laptev and Safronov conjecture (Laptev and Safronov in Commun Math Phys 292(1):29–54, 2009).
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Mathematical PhysicsVolume
376Pages
2147 - 2160Publisher
Springer (part of Springer Nature)Version
- AM (Accepted Manuscript)
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© Springer-Verlag GmbH Germany, part of Springer NaturePublisher statement
This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s00220-019-03635-w.Acceptance date
2019-10-06Publication date
2019-12-10Copyright date
2019ISSN
0010-3616eISSN
1432-0916Publisher version
Language
- en