Amal Taarabt
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 optimal as shown by counterexamples.
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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 optimal as shown by counterexamples.
Key concepts: Eigenfunction, Counterexample, Spectral properties, Schrödinger's cat, Mathematics, Equivalence (formal languages), Pure mathematics, Spectrum (functional analysis)