Finite-rank perturbations of the Dirac operator

DOI10.1006/JMAA.1999.6504zbMath0938.47053OpenAlexW2028023674MaRDI QIDQ1307253

Rhonda J. Hughes

Publication date: 25 June 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6504

zbMATH Keywords

perturbationsspectrumone-dimensional Dirac operatorrelativistic point interactions

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of ordinary differential operators (47E05) Perturbations of nonlinear operators (47H14)

Related Items (6)

Non-self-adjoint relativistic point interaction in one dimension ⋮ Smooth approximation of singular perturbations ⋮ On the calculation of the discrete spectra of one‐dimensional Dirac operators ⋮ General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation ⋮ Approximation of one-dimensional relativistic point interactions by regular potentials revised ⋮ Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Klein's paradox and the relativistic point interaction
• Quantization of fermions interacting with point-like external fields
• New analytically solvable models of relativistic point interactions
• Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit
• Relativistic point interaction
• Relativistic point interactions: Approximation by smooth potentials
• Rank one perturbations of not semibounded operators
• A new class of point interactions in one dimension
• Unitary propagators for time-dependent Hamiltonians with singular potentials
• Renormalization of the relativistic delta potential in one dimension

This page was built for publication: Finite-rank perturbations of the Dirac operator