Non-existence of eigenvalues of Dirac operators

DOI10.1017/S030821050002031XzbMath0479.35069OpenAlexW2126748038MaRDI QIDQ3937093

Hubert Kalf

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050002031x

zbMATH Keywords

Dirac operatorCoulomb-potentials

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ On the point spectrum of Dirac operators ⋮ Absence of embedded eigenvalues of Pauli and Dirac operators ⋮ Spectral theory of Dirac operators with potentials diverging at infinity ⋮ Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential

Cites Work

• Unnamed Item
• Unique continuation for Schrödinger operators with unbounded potentials
• The virial theorem in relativistic quantum mechanics
• Zur Regularität schwacher Lösungen für elliptische Systeme partieller Differentialoperatoren
• On the asymptotic behavior of eigenfunctions of second-order elliptic operators
• Non-existence of eigenvalues of Schrödinger operators

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