Spectral properties of dynamical localization for Schrödinger operators

2012/04/30 by François Germinet, Germinet, François, Amal Taarabt +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP

paper · pdf · doi:10.48550/arxiv.1204.6648

arxiv created 2012/04/30 · openalex publication_date 2012/04/30 · arxiv updated 2012/05/01 · openalex created_date 2022/09/19 · openalex updated_date 2026/07/28

Abstract

We investigate the equivalence between dynamical localization and localization properties of eigenfunctions of Schrödinger Hamiltonians. We introduce three classes of equivalent properties and study the relationships between them. These relationships are shown to be optimal thanks to counter examples.

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