We extend a result of Davies and Nath (J Comput Appl Math 148(1):1-28, 2002) on the location of eigenvalues of Schrodinger 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).
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St Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, RussiaSt Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, Russia
Korotyaev, Evgeny
Safronov, Oleg
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UNCC, Dept Math & Stat, Charlotte, NC USASt Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, Russia