Accumulation of discrete eigenvalues of the radial Dirac operator

DOI10.1006/jfan.1998.3360zbMath0926.34074OpenAlexW1967241018MaRDI QIDQ1283689

Marcel Griesemer, Joseph P. Lutgen

Publication date: 5 December 1999

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

Full work available at URL: https://semanticscholar.org/paper/0a51079015d7e45079b9e611afeee8d2e746235a

zbMATH Keywords

essential spectrumSturm-Liouville equationradial Dirac equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (9)

Singular Dirac systems and Sturm-Liouville problems nonlinear in the spectral parameter ⋮ Resonances for the radial Dirac operators ⋮ \(hp\)-cloud approximation of the Dirac eigenvalue problem: the way of stability ⋮ Essential spectra of one-dimensional Dirac operators ⋮ Stabilized finite element method for the radial Dirac equation ⋮ Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter ⋮ A note on Riesz bases of eigenvectors of certain holomorphic operator-functions ⋮ Finite element method for solving the Dirac eigenvalue problem with linear basis functions ⋮ Relative oscillation -- non-oscillation criteria for perturbed periodic Dirac systems

Cites Work

• On reducing subspaces for one-electron Dirac operators
• Remarks on the spectrum of Dirac operators
• A Minimax Principle for the Eigenvalues in Spectral Gaps
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