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arXiv · 1907.02467

Eigenvalue bound for Schroedinger operators with unbounded magnetic field

Diana Barseghyan·Baruch Schneider
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Abstract

In this paper we consider magnetic Schroedinger operators on the two-dimensional unit disk with a radially symmetric magnetic field which explodes to infinity at the boundary. We prove a bound for the eigenvalue moments and a bound for the number of negative eigenvalues for such operators.

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Diana Barseghyan, Baruch Schneider. 2019-07-04. Eigenvalue bound for Schroedinger operators with unbounded magnetic field. https://doi.org/10.1016/s0034-4877(20)30027-6

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