Essential self-adjointness of n-dimensional Dirac operators with a variable mass term

DOI10.1063/1.1367331zbMath1015.81022OpenAlexW2017260957MaRDI QIDQ2774924

Osanobu Yamada, Hubert Kalf

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1367331

zbMATH Keywords

Dirac operatorsingularityspherically symmetric functions

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (12)

Nonrelativistic Asymptotics of Solitary Waves in the Dirac Equation with Soler-Type Nonlinearity ⋮ On absence of threshold resonances for Schrödinger and Dirac operators ⋮ Spectral enclosures for Dirac operators perturbed by rigid potentials ⋮ Time-frequency analysis of the Dirac equation ⋮ Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation ⋮ Interaction problems on periodic hypersurfaces for Dirac operators on \(\mathbb{R}^n \) ⋮ A class of \(d\)-dimensional Dirac operators with a variable mass ⋮ Spectral theory of Dirac operators with potentials diverging at infinity ⋮ Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions ⋮ Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation ⋮ Spectral properties of a Dirac operator in the chiral quark soliton model

Cites Work

• On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials
• A remark on the essential self-adjointness of Dirac operators
• Essential self-adjointness of Dirac operators under an integral conditon on the potential
• The Dirac equation with an anomalous magnetic moment
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• Essential self-adjointness of Dirac operators with a variable mass term
• Remark on essential selfadjointness of Dirac operators with Coulomb potentials
• Schrödinger operators with singular potentials
• Essential selfadjointness of Dirac operators with a strongly singular potential
• Separated Dirac operators and asymptotically constant linear systems

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