On perturbations of Dirac operators with variable magnetic field of constant direction

DOI10.1063/1.1792933zbMath1064.81028arXivmath-ph/0405013OpenAlexW2031572721MaRDI QIDQ3024101

Serge Richard, Rafael Tiedra de Aldecoa

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0405013

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (2)

On the spectrum of magnetic Dirac operators with Coulomb-type perturbations ⋮ Abstract theory of pointwise decay with applications to wave and Schrödinger equations

Cites Work

• Absence of singular continuous spectrum for certain self-adjoint operators
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• The periodic Dirac operator is absolutely continuous
• On the spectrum of the two-dimensional periodic Dirac operator
• A distinguished self-adjoint extension for the Dirac operator with strong local singularities and arbitrary behaviour at infinity
• A spectral theory for direct integrals of operators
• LOCATING THE SPECTRUM FOR MAGNETIC SCHRöDINGER AND DIRAC OPERATORS
• On the virial theorem in quantum mechanics
• Perturbations of magnetic Schrödinger operators

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