Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials

DOI10.4171/JST/84zbMath1320.34116arXiv1206.4966OpenAlexW3098017767WikidataQ57343558 ScholiaQ57343558MaRDI QIDQ2018372

Jonathan Eckhardt, Friedrich Gesztesy, Roger A. Nichols, Gerald Teschl

Publication date: 14 April 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4966

zbMATH Keywords

Dirac operatorsSturm-Liouville operatorssupersymmetrydistributional coefficientsWeyl-Titchmarsh theory

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Green's functions for ordinary differential equations (34B27)

Related Items

Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials, Discreteness of the spectrum of vectorial Schrödinger operators with \(\delta\)-interactions, Dynamical and spectral Dirac systems: response function and inverse problems, Two-term differential equations with matrix distributional coefficients, Schrödinger operators with distributional matrix potentials, On a very weak solution of the wave equation for a Hamiltonian in a singular electromagnetic field, The inverse approach to Dirac-type systems based on the \(A\)-function concept, Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators, Linear differential operators with distribution coefficients of various singularity orders, Spectral asymptotics for canonical systems, Evolution of Weyl Functions and Initial-Boundary Value Problems, One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets, Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential, Matrix Schrödinger operator with \(\delta\)-interactions, Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions, Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On spectra of non-self-adjoint Sturm-Liouville operators
• Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials
• A supplement to the paper on exponential representations of analytic functions in the upper half-plane with positive imaginary part
• Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set