On the zero modes of Pauli operators

DOI10.1006/jfan.2000.3670zbMath1002.47054arXivmath/0003216OpenAlexW2052235683MaRDI QIDQ5927508

W. Desmond Evans, Alexander A. Balinsky

Publication date: 13 January 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003216

zbMATH Keywords

eigenvalueBirman-Schwinger operatoreigenvectorsmagnetic fieldPauli operatortriple of Pauli matricesvector potentialzero modes

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of operator theory to differential and integral equations (47N20)

Related Items (14)

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 ⋮ Absence of embedded eigenvalues of Pauli and Dirac operators ⋮ Some new results about the massless Dirac operator ⋮ 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 maximal ionization for the atomic Pauli operator ⋮ Ground state solutions to Hartree–Fock equations with magnetic fields ⋮ 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

Cites Work

• Stability of Coulomb systems with magnetic fields. I: The one-electron atom
• Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule
• Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
• Generic vanishing for harmonic spinors of twisted Dirac operators
• Degeneracy of zero modes of the Dirac operator in three dimensions.
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