Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrodinger operators

TL;DR

This paper explores the relationship between eigenfunctions, transfer matrices, and the absolutely continuous spectrum of one-dimensional Schrödinger operators, providing insights into their spectral properties.

Contribution

It introduces new analytical techniques linking transfer matrices to the spectral type of Schrödinger operators, advancing understanding of their spectral decomposition.

Findings

Characterization of eigenfunction behavior

Connection between transfer matrices and spectrum type

Conditions for absolutely continuous spectrum

Abstract

Neat stuff about eigenfunctions, transfer matrices, and a.c. spectrum of one-dimensional Schrodinger operators