On the point spectrum of Dirac operators

DOI10.1016/0022-1236(87)90007-3zbMath0655.47043OpenAlexW2091883407MaRDI QIDQ1109322

Vladimir Georgescu, A. M. Berthier

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90007-3

zbMATH Keywords

magnetic fieldDirac operatorpoint spectrumCarleman inequalityHardy inequalityCoulomb-Potentialsrelativistic quantum mechanis

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Quantum field theory on curved space or space-time backgrounds (81T20)

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Cites Work

• Interpolation non linéaire et régularité
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Non-existence of eigenvalues of Dirac operators
• Unique continuation and the cauchy problem for first order systems of partial differential equations
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