A distinguished self-adjoint extension for the Dirac operator with strong local singularities and arbitrary behaviour at infinity

DOI10.1016/0034-4877(94)90007-8zbMath0829.35101OpenAlexW2070327351MaRDI QIDQ1897819

Radu Purice, Anne Boutet de Monvel-Berthier

Publication date: 15 January 1996

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(94)90007-8

zbMATH Keywords

self-adjoint extensionsesquilinear formsDirac Hamiltonian with singular potentials

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations ⋮ On the spectrum of magnetic Dirac operators with Coulomb-type perturbations ⋮ SPECTRAL THEORY OF NO-PAIR HAMILTONIANS ⋮ On perturbations of Dirac operators with variable magnetic field of constant direction

Cites Work

• Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• Essential self-adjointness of powers of generators of hyperbolic equations
• The Trotter product formula for perturbations of semibounded operators
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