The local structure of zero mode producing magnetic potentials

DOI10.1007/S00220-002-0679-2zbMath1001.81016OpenAlexW2074252822MaRDI QIDQ1849469

Daniel M. Elton

Publication date: 1 December 2002

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

Full work available at URL: https://doi.org/10.1007/s00220-002-0679-2

zbMATH Keywords

continuous magnetic potentials on \(\mathbb{R}^3\)Weyl-Dirac operatorzero modes with multiplicity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) General theory of partial differential operators (47F05) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (13)

On absence of threshold resonances for Schrödinger and Dirac operators ⋮ Which magnetic fields support a zero mode? ⋮ Asymptotics for Erdős-Solovej zero modes in strong fields ⋮ Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes ⋮ Perturbations of embedded eigenvalues for a magnetic Schrödinger operator on a cylinder ⋮ Absence of embedded eigenvalues of Pauli and Dirac operators ⋮ EIGENFUNCTIONS AT THE THRESHOLD ENERGIES OF MAGNETIC DIRAC OPERATORS ⋮ Analysis of zero modes for Dirac operators with magnetic links ⋮ The asymptotic limits of zero modes of massless Dirac operators ⋮ On the non-existence of zero modes ⋮ Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two ⋮ A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields ⋮ The symmetries of the Dirac–Pauli equation in two and three dimensions

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