Reconstruction of radial Dirac operators

DOI10.1063/1.2709847zbMath1137.81329OpenAlexW2080218377MaRDI QIDQ3442276

Rostyslav O. Hryniv, Yaroslav Volodymyrovych Mykytyuk, Sergio A. Albeverio

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3397e1e7444ad2ca83ba44ab7d18870535bf9938

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Inverse problems involving ordinary differential equations (34A55)

Related Items (12)

Explicit solutions of matrix and dynamical Schrödinger equations and of KdV equation in terms of square roots of the generalised matrix eigenvalues ⋮ Eigenvalue asymptotics for Dirac–Bessel operators ⋮ Spectral analysis for differential systems with a singularity ⋮ Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators ⋮ Constructive solution to inverse scattering problem for differential systems with a singularity ⋮ Spectral asymptotics for canonical systems ⋮ Asymptotics of Solutions of Some Integral Equations Connected with Differential Systems with a Singularity ⋮ On Weyl-type solutions of differential systems with a singularity. The case of discontinuous potential ⋮ Reconstruction of radial Dirac and Schrödinger operators from two spectra ⋮ Incomplete inverse spectral problems for Dirac-Bessel operators ⋮ On spectral deformations and singular Weyl functions for one-dimensional Dirac operators ⋮ Inverse spectral problems for radial Schrödinger operators and closed systems

Cites Work

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• A complete spectral characterization of the double commutation method
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Deforming the point spectra of one-dimensional Dirac operators
• Dirac type and canonical systems: spectral and Weyl–Titchmarsh matrix functions, direct and inverse problems
• Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
• On the double commutation method
• Inverse spectral problem for singular Ablowitz–Kaup–Newell–Segur operators on [0, 1]

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