Spectral properties of the Dirac operator with a nonsmooth potential of the general form and operator groups

DOI10.1134/S0012266119080135zbMath1434.35140OpenAlexW2973003150MaRDI QIDQ2009917

N. B. Uskova

Publication date: 3 December 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119080135

zbMATH Keywords

Hilbert spacespectrumDirac operatorsimilarity theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string

Cites Work

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• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

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