Multiparticle localization at low energy for multidimensional continuous Anderson models

DOI10.1155/2020/5270541zbMath1482.82039arXiv1702.03945OpenAlexW3022871202MaRDI QIDQ2246541

Trésor Ekanga

Publication date: 16 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03945

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• The bootstrap multiscale analysis for the multi-particle Anderson model
• On two-particle Anderson localization at low energies
• A new proof of localization in the Anderson tight binding model
• Wegner-type bounds for a multi-particle continuous anderson model with an Alloy-type external potential
• Eigenfunctions in a two-particle Anderson tight binding model
• Multi-particle Anderson localisation: Induction on the number of particles
• Localization bounds for multiparticle systems
• Wegner bounds for a two-particle tight binding model
• Multi-particle localization for weakly interacting Anderson tight-binding models
• Dynamical localization for a multi-particle model with an alloy-type external random potential
• Complete Dynamical Localization in Disordered Quantum Multi-Particle Systems
• Operator kernel estimates for functions of generalized Schrödinger operators
• Multiparticle localization for disordered systems on continuous space via the fractional moment method
• ANDERSON LOCALIZATION FOR A MULTI-PARTICLE QUANTUM GRAPH
• Caught by disorder. Bound states in random media
• Multi-scale analysis implies strong dynamical localization

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