Degeneracy of zero modes of the Dirac operator in three dimensions.

DOI10.1016/S0370-2693(00)00701-2zbMath1050.81523arXivhep-th/9910139MaRDI QIDQ5930383

Charles Nash, B. Muratori, Christoph Adam

Publication date: 18 April 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9910139

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (16)

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 ⋮ Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations ⋮ ZERO MODES IN FINITE RANGE MAGNETIC FIELDS ⋮ Some new results about the massless Dirac operator ⋮ EIGENFUNCTIONS AT THE THRESHOLD ENERGIES OF MAGNETIC DIRAC OPERATORS ⋮ ZERO MODES IN A SYSTEM OF AHARONOV–BOHM FLUXES ⋮ Analysis of zero modes for Dirac operators with magnetic links ⋮ The asymptotic limits of zero modes of massless Dirac operators ⋮ Hopf maps as static solutions of the complex eikonal equation ⋮ On the zero modes of Pauli operators ⋮ On the non-existence of zero modes ⋮ Self-adjointness and spectral properties of Dirac operators with magnetic links ⋮ 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

• Unnamed Item
• Stability of Coulomb systems with magnetic fields. I: The one-electron atom
• Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
• Topological electromagnetism
• Hopf instantons and the Liouville equation in target space.

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