Absence of embedded eigenvalues of Pauli and Dirac operators

DOI10.1016/J.JFA.2023.110288arXiv2312.04995MaRDI QIDQ6185661

Hynek Kovařík, Dirk Hundertmark

Publication date: 30 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.04995

zbMATH Keywords

Pauli operatorDirac operatorembedded eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40)

Cites Work

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• Lower bounds for solutions of Schrödinger equations
• Schrödinger operators with singular potentials
• Absence of positive eigenvalues of magnetic Schrödinger operators
• Resonances and Spectral Shift Function Singularities for Magnetic Quantum Hamiltonians
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Non-existence of eigenvalues of Dirac operators
• Quantum Magnetic Hamiltonians with Remarkable Spectral Properties
• A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields
• The virial theorem and its application to the spectral theory of Schrödinger operators
• On positive eigenvalues of one‐body schrödinger operators
• On the zero modes of Pauli operators

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