A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields

DOI10.1063/1.4920924zbMath1314.81063arXiv1503.04470OpenAlexW1600738336WikidataQ59158045 ScholiaQ59158045MaRDI QIDQ5253075

Hanne van den Bosch, Rafael D. Benguria

Publication date: 4 June 2015

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

Full work available at URL: https://arxiv.org/abs/1503.04470

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear operator inequalities (47A63) Schrödinger operator, Schrödinger equation (35J10) Atomic physics (81V45)

Related Items (5)

On absence of threshold resonances for Schrödinger and Dirac operators ⋮ Which magnetic fields support a zero mode? ⋮ Absence of embedded eigenvalues of Pauli and Dirac operators ⋮ Analysis of zero modes for Dirac operators with magnetic links ⋮ Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two

Cites Work

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• 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
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• The local structure of zero mode producing magnetic potentials
• New examples of zero modes
• Sobolev, Hardy and CLR inequalities associated with Pauli operators in ℝ³
• THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ³
• On the zero modes of Pauli operators
• Degeneracy of zero modes of the Dirac operator in three dimensions.

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