Improved Eigenvalue Bounds for Schrodinger Operators with Slowly Decaying Potentials

摘要

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).