Counting eigenvalues of Schrodinger operators with fast decaying complex potentials

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

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Analysis, Mathematische Physik und Numerik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0001-8708
• Sprache: Englisch