Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system

DOI10.1134/S1064562412020238zbMath1258.34171MaRDI QIDQ1760991

M. Sh. Burlutskaya, V. P. Kurdyumov, Avgoust P. Khromov

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenfunctionsDirac systemAsymptotic formulas

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (7)

\(L_\mu\to L_\nu\) equiconvergence of spectral decompositions for a Dirac system with \(L_\kappa\) potential ⋮ Linear differential operator with an involution as a generator of an operator group ⋮ Spectral analysis of a differential operator with an involution ⋮ Functional differential operators with involution and Dirac operators with periodic boundary conditions ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ Classical and generalized solutions of a mixed problem for a system of first-order equations with a continuous potential ⋮ Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string

Cites Work

• Unnamed Item
• Bari–Markus property for Riesz projections of 1D periodic Dirac operators
• 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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