Operators with singular continuous spectrum, V. Sparse potentials

Type: Article

Publication Date: 1996-01-01

Citations: 60

DOI: https://doi.org/10.1090/s0002-9939-96-03465-x

Abstract

By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Schrödinger operators, we are able to construct explicit potentials which yield purely singular continuous spectrum.

Locations

  • Proceedings of the American Mathematical Society - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat Operators with Singular Continuous Spectrum: I. General Operators 1995 Barry Simon
+ No eigenvectors embedded in the singular continuous spectrum of Schrödinger operators 2023 Kota Ujino
+ Schrödinger operators with singular potentials 1972 Tosis Kato
+ No eigenvectors embedded in the singular continuous spectrum of Schrödinger operators 2024 Kota Ujino
+ PDF Chat SINGULAR SCHRÖDINGER OPERATORS IN ONE DIMENSION 2012 E. B. Davies
+ PDF Chat Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications 2011 Vincent Duchêne
Jeremy L. Marzuola
Michael I. Weinstein
+ Schroedinger Operators with Singular Perturbation Potentials. 1976 Evans M. Harrell
+ Schrödinger operators with highly singular oscillating potentials 1992 Karl‐Theodor Sturm
+ PDF Chat Schrödinger Operators with Complex Sparse Potentials 2022 Jean‐Claude Cuenin
+ PDF Chat Schrödinger Operators with Few Bound States 2005 David Damanik
Rowan Killip
Barry Simon
+ On the spectral theory of schrödinger and dirac operators with strongly singular potentials 1975 Hubert Kalf
Upke-Walther Schmincke
Johann Walter
Rainer Wüst
+ Schrödinger Operators with Singular Complex Potentials as Generators: Existence and Stability 2000 P. Stollmann V. Liskevich
+ The continuous singular spectrum of the Schrödinger operator 1980 Martin Schechter
+ PDF Chat On the essential spectrum of Schroedinger operators with singular potentials 1968 James S. Howland
+ Imbedded Singular Continuous Spectrum for Schrödinger Operators 2001 Alexander Kiselev
+ PDF Chat Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra 2012 Jonathan Eckhardt
Gerald Teschl
+ Schrodinger operators with slowly decaying Wigner--von Neumann type potentials 2012 Milivoje Lukić
+ Slowly decaying Wigner--von Neumann type potentials 2012 Milivoje Lukić
+ Essential self-adjointness of Schrödinger operators with singular potentials 1973 Barry Simon
+ Schrödinger Operators with Singular Potentials 2005 G. Rozenblum
Michael Melgaard