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Which magnetic fields support a zero mode? - MaRDI portal

Which magnetic fields support a zero mode? (Q2151189)

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Language	Label	Description	Also known as
English	Which magnetic fields support a zero mode?	scientific article

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scholarly article

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Which magnetic fields support a zero mode? (English)

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Rupert L. Frank

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Journal für die Reine und Angewandte Mathematik

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publication date

1 July 2022

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full work available at URL

https://arxiv.org/abs/2012.13646

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MaRDI profile type

MaRDI publication profile

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

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On the zero modes of Pauli operators

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Sobolev, Hardy and CLR inequalities associated with Pauli operators in ℝ<sup>3</sup>

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

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Sharp decay estimates for critical Dirac equations

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Ground state Dirac bubbles and Killing spinors

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Refined Kato inequalities and conformal weights in Riemannian geometry

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Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers

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The local structure of zero mode producing magnetic potentials

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Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields. II: Leading order asymptotic estimates

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Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields. I: Nonasymptotic Lieb-Thirring-type estimate.

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THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ<sup>3</sup>

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Dirac–Coulomb operators with general charge distribution II. The lowest eigenvalue

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A Kato-Yau inequality and decay estimate for eigenspinors.

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Stability of Coulomb systems with magnetic fields. I: The one-electron atom

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A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors

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Concentration estimates for critical problems

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The Dirac operator with mass \(m_0 \geq 0\): non-existence of zero modes and of threshold eigenvalues

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Erratum for ``The Dirac operator with mass \(m_0 \geq 0\): non-existence of zero modes and of threshold eigenvalues''

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Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator

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Magnetic zero-modes, vortices and Cartan geometry

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The zero modes and zero resonances of massless Dirac operators

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A Sequence of Zero Modes of Weyl–Dirac Operators and an Associated Sequence of Solvable Polynomials

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/CRELLE-2022-0015

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Sitelinks

Mathematics(1 entry)

mardi Publication:2151189

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