Spectral boundary-value problems for the Dirac system with a singular potential

DOI10.1090/S1061-0022-04-00843-XzbMath1072.35158OpenAlexW2135818733MaRDI QIDQ4675545

No author found.

Publication date: 4 May 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-04-00843-x

zbMATH Keywords

eigenvaluesDirac operator\(R\)-matrixselfadjoint extensionsCoulomb singularity

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Selfadjoint extensions of Dirac operators for non spherically symmetric potentials in Coulomb scattering
• Spectral theory of ordinary differential operators
• Spectral properties of Dirac operators with singular potentials
• Distinguished self-adjoint extensions of Dirac operators constructed by means of cut-off potentials
• Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
• Dirac operations with strongly singular potentials. Distinguished self- adjoint extensions constructed with a spectral gap theorem and cut-off potentials
• Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators
• On the eigenvalues of operators with gaps. Application to Dirac operators
• Remark on essential selfadjointness of Dirac operators with Coulomb potentials
• A convergence theorem for selfadjoint operators applicable to Dirac operators with cutoff potentials
• Caractérisation de quelques espaces d'interpolation
• Essential selfadjointness of Dirac operators with a strongly singular potential
• Distinguished selfadjoint extensions of Dirac operators
• Mathematical theory of the R matrix. I. The eigenvalue problem
• Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains
• Interpolation in $L^{p}$ with boundary conditions
• Spectral problems for the Dirac system with spectral parameter in local boundary conditions

This page was built for publication: Spectral boundary-value problems for the Dirac system with a singular potential