Spectral deformations of one-dimensional Schrödinger operators

From MaRDI portal
Publication:1357387

DOI10.1007/BF02820446zbMath0951.34061OpenAlexW2081458006MaRDI QIDQ1357387

Barry Simon, Friedrich Gesztesy, Gerald Teschl

Publication date: 20 July 1997

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02820446



Related Items

Shape invariance through Crum transformation, Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces, Renormalized oscillation theory for Hamiltonian systems, Commutation methods for Schrödinger operators with strongly singular potentials, The binary Darboux transformation revisited and KdV solitons on arbitrary short‐range backgrounds, A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation, Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equation, Sine-Gordon theory in a semi-strip, Isospectral property of double Darboux transformation, On the isospectrality of the scalar energy-dependent Schrödingerproblems, Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation, Darboux transformation for the Schrödinger equation with steplike potentials, On isospectral sets of Jacobi operators, Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation, Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum, An accurate \(\mathcal{O}(N^2)\) floating point algorithm for the Crum transform of the KdV equation, Spectral analysis of Darboux transformations for the focusing NLS hierarchy, Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra, Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach, Explicit isospectral flows associated to the <scp>AKNS</scp> operator on the unit interval. II, On a paper by Gesztesy, Simon, and Teschl concerning isospectral deformations of ordinary Schrödinger operators.



Cites Work