Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes

DOI10.1016/j.jmaa.2012.03.001zbMath1251.47016OpenAlexW2022373004MaRDI QIDQ412471

Tạ Ngọc Trí, Daniel M. Elton

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.001

zbMATH Keywords

zero modesDirac operatoreigenvalue counting functionlinear spectral pencil

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

Asymptotics for Erdős-Solovej zero modes in strong fields ⋮ Eigenvalue asymptotics for Zakharov-Shabat systems with long-range potentials ⋮ Eigenvalues of a one-dimensional Dirac operator pencil ⋮ On the non-existence of zero modes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
• On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
• 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
• ON THE ZERO MODES OF WEYL–DIRAC OPERATORS AND THEIR MULTIPLICITY
• THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ³
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
• On the Singular Values of a Product of Completely Continuous Operators

This page was built for publication: Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes