Eigenvalue bounds for Schrodinger operators with complex potentials
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex potentials can be bounded in terms of L p -norms of the potential. This extends an inequality of Abramov, Aslanyan and Davies to higher dimensions and proves a conjecture by Laptev and Safronov. Our ma...
| Published in: | Bulletin of the London Mathematical Society |
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| Main Author: | |
| Format: | Text |
| Language: | English |
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Oxford University Press
2011
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| Online Access: | http://blms.oxfordjournals.org/cgi/content/short/43/4/745 https://doi.org/10.1112/blms/bdr008 |