Power-law bounds on transfer matrices and quantum dynamics in one dimension–II
type: Dataset
description: We establish quantum dynamical lower bounds for a number of discrete one-dimensional Schrödinger operators. These dynamical bounds are derived from power-law upper bounds on the norms of transfer matrices. We develop further the approach from part I and study many examples. Particular focus is put on models with finitely or at most countably many exceptional energies for which one can prove power-law bounds on transfer matrices. The models discussed in this paper include substitution models, Sturmian models, a hierarchical model, the prime model, and a class of moderately sparse potentials.
landing page: 0022-1236
keyword: 81q10
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-dsmathematics-mathdynamical-systems-mathds
keyword: quantum-dynamics
keyword: schrodinger-operators
issued: 2026-05-12T06:05:53.106535
modified: 2026-05-12T06:05:53.106540
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Power-law bounds on transfer matrices and quantum dynamics in one dimension–II
type: Distribution
format: HTML
access URL: https://hal.science/hal-00080284
issued: 2026-05-12T06:05:53.118833
modified: 2026-05-12T06:05:53.094928