Spectral properties of the Dirac operator on the real line

DOI10.1134/S0012266121020026zbMath1470.34233OpenAlexW3137392596MaRDI QIDQ2659254

N. B. Uskova, Ilya A. Krishtal, Anatoly G. Baskakov

Publication date: 26 March 2021

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

Full work available at URL: https://doi.org/10.1134/s0012266121020026

zbMATH Keywords

spectrumDirac operatorspectral asymptoticsspectral enclosure

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

Related Items (3)

Method of similar operators in the study of spectral properties of perturbed first-order differential operators ⋮ Spectral analysis of differential operators with involution and operator groups ⋮ Spectral properties of classical Dirac operators and operators with involution in homogeneous function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Memory estimation of inverse operators
• Closed operator functional calculus in Banach modules and applications
• Classical and generalized solutions of a mixed problem for a system of first-order equations with a continuous potential
• Similarity techniques in the spectral analysis of perturbed operator matrices
• The Dirac operator with complex-valued summable potential
• Harmonic analysis of causal operators and their spectral properties
• One-Parameter Semigroups for Linear Evolution Equations
• Linear differential operator with an involution as a generator of an operator group
• On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator
• 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
• The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

This page was built for publication: Spectral properties of the Dirac operator on the real line