The rate of accumulation of negative eigenvalues to zero and the absolutely continuous spectrum

DOI10.1007/S10958-023-06256-WOpenAlexW4319035152MaRDI QIDQ2699830

Yanyan Li

Publication date: 19 April 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09039

zbMATH Keywords

Schrödinger operatorsspectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Lower bounds on the eigenvalue sums of the Schrödinger operator and the spectral conservation law
• Absolutely continuous spectrum of a Dirac operator in the case of a positive mass
• Schrödinger operators with many bound states
• Sum rules for Jacobi matrices and their applications to spectral theory
• A relation between the positive and negative spectra of elliptic operators
• Multi-dimensional Schrödinger operators with no negative spectrum
• Multi-dimensional Schrödinger operators with some negative spectrum

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