Resonances for 1D massless Dirac operators

DOI10.1016/j.jde.2014.01.031zbMath1290.34086arXiv1302.4632OpenAlexW2963318075MaRDI QIDQ2441684

Alexei Iantchenko, Evgeny L. Korotyaev

Publication date: 25 March 2014

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

Full work available at URL: https://arxiv.org/abs/1302.4632

zbMATH Keywords

resonancesZakharov-Shabat1D Dirac

Mathematics Subject Classification ID

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

Related Items (15)

Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordström black hole ⋮ Quasi-normal modes for Dirac fields in the Kerr–Newman–de Sitter black holes ⋮ New trace formulas in terms of resonances for three-dimensional Schrödinger operators ⋮ Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications ⋮ Resonances for the radial Dirac operators ⋮ Direct and inverse resonance problems for the massless Dirac operator on the half line ⋮ Stability of resonances for the Dirac operator ⋮ Inverse resonance scattering for massless Dirac operators on the real line ⋮ Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-anti-de Sitter spacetime ⋮ Inverse Resonance Problems for Energy-Dependent Potentials on the Half-Line ⋮ Global estimates of resonances for 1D Dirac operators ⋮ Resonances for 1D massless Dirac operators ⋮ Inverse resonance scattering for Dirac operators on the half-line ⋮ Resonances for Dirac operators on the half-line ⋮ Complex eigenvalue splitting for the Dirac operator

Cites Work

• On the inverse resonance problem for Schrödinger operators
• Distribution of poles for scattering on the real line
• Limiting absorption principle and resonances for the Dirac operator
• Asymptotic distribution of resonances in one dimension
• Resonances in one dimension and Fredholm determinants
• Bounds on scattering poles in one dimension
• Resonances for Dirac operators on the half-line
• Global estimates of resonances for 1D Dirac operators
• Resonances for 1D massless Dirac operators
• Resonance theory for perturbed Hill operator
• Analytic properties of the scattering matrix
• Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
• Complex Scaling and the Distribution of Scattering Poles
• Inverse scattering for the Dirac operator on the real line
• Inverse resonance scattering on the real line
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Resonances for 1D massless Dirac operators