Essential self-adjointness and invariance of the essential spectrum for Dirac operators

DOI10.2977/prims/1195183289zbMath0509.35058OpenAlexW2067373820MaRDI QIDQ1838086

Masaharu Arai, Osanobu Yamada

Publication date: 1982

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195183289

zbMATH Keywords

Dirac operatoressential spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

An approach to the spectrum structure of Dirac operators by the local-compactness method, On the spectrum of magnetic Dirac operators with Coulomb-type perturbations, Spectral theory of Dirac operators with potentials diverging at infinity, Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions, Self-adjoint extensions of Dirac operators with Coulomb type singularity, The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions, Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei, Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies, Unnamed Item, On the one dimensional Dirac equation with potential, Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities, The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates, Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities, On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials

Cites Work

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• On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials
• Distinguished self-adjoint extensions of Dirac operators constructed by means of cut-off potentials
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• Oszillationsmethoden für Systeme gewöhnlicher Differentialgleichungen
• Essential selfadjointness of Dirac operators with a strongly singular potential
• Some essentially self-adjoint Dirac operators with spherically symmetric potentials
• An application of the maximum principle to the study of essential self-adjointness of Dirac operators. I
• The cauchy problem for the coupled maxwell and dirac equations
• On the Unique Self-Adjoint Extension of the Dirac Operator and the Existence of the Green Matrix