Recurrence of the eigenstates of a Schrödinger operator with automatic potential

DOI10.1007/BF01057881zbMath0943.34516OpenAlexW1982865315MaRDI QIDQ1279340

François Delyon, Jacques Peyrière

Publication date: 17 June 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057881

zbMATH Keywords

spectral analysislocalizationThue-Morse sequenceone-dimensional Schrödinger operatorcritical states

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Automata sequences (11B85)

Related Items

Singular continuous spectrum for palindromic Schrödinger operators, Unbounded trace orbits of Thue-Morse Hamiltonian, Schrödinger operators with dynamically defined potentials, Local symmetries in the period-doubling sequence, Singular continuous spectrum for a class of nonprimitive substitution Schrödinger operators, Spectral approximation for quasiperiodic Jacobi operators, Anomalous Transport: A Mathematical Framework

Cites Work

• Absence of localization in a class of Schrödinger operators with quasiperiodic potential
• The spectrum of a quasiperiodic Schrödinger operator
• Spectrum and extended states in a harmonic chain with controlled disorder: Effects of the Thue-Morse symmetry