Calogero type bounds in two dimensions

For a Schrödinger operator on the plane R2 with electric potential V and an Aharonov–Bohm magnetic field, we obtain an upper bound on the number of its negative eigenvalues in terms of the L1(R2) -norm of V. Similar to Calogero’s bound in one dimension, the result is true under monotonicity assumpti...

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Bibliographic Details
Main Authors: Ari Laptev, Larry Read, Lukas Schimmer
Format: Default Article
Published: 2022
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Online Access:https://hdl.handle.net/2134/24591960.v1
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