Counting eigenvalues of Schrodinger operators with fast decaying complex potentials

Borichev, Alexander; Frank, Rupert L. and Volberg, Alexander (2022): Counting eigenvalues of Schrodinger operators with fast decaying complex potentials. In: Advances in Mathematics, Vol. 397, 108115

Abstract

We give a sharp estimate of the number of zeros of analytic functions in the unit disc belonging to analytic quasianalytic Carleman-Gevrey classes. As an application, we estimate the number of the eigenvalues for discrete Schrodinger operators with rapidly decreasing complex-valued potentials, and, more generally, for non-symmetric Jacobi matrices.(c) 2021 Elsevier Inc. All rights reserved.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0001-8708
• Language: English