General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators

DOI10.4171/JEMS/50zbMath1157.47306arXivmath/0510626MaRDI QIDQ2502552

Jean Dolbeault, Maria J. Esteban, Éric Séré

Publication date: 13 September 2006

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510626

zbMATH Keywords

eigenvaluesvariational methodsself-adjoint operatoressential spectrumspectral gapsDirac operator with a Coulomb-like potentialform domainRayleigh Ritz quotients

Mathematics Subject Classification ID

Related Items (9)

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• On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms
• Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
• A Minimax Principle for the Eigenvalues in Spectral Gaps

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