Improved 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 (L...

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Bibliographic Details
Main Author: Jean-Claude Cuenin
Format: Other Non-Article Part of Journal/Newspaper
Language:unknown
Published: 2019
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Online Access:https://figshare.com/articles/journal_contribution/Improved_eigenvalue_bounds_for_Schr_dinger_operators_with_slowly_decaying_potentials/11864982
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Summary: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).